Answer :
Answer:
42
Step-by-step explanation:
Find the prime factorization of 126
126 = 2 × 3 × 3 × 7
Find the prime factorization of 420
420 = 2 × 2 × 3 × 5 × 7
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 3 × 7
GCF = 42
The highest common factor HCF of 126 and 420 is 42
What is HCF and LCM?
The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF
Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers
Product of HCF x LCM = product of two numbers
Given data ,
Let the HCF of the two numbers be represented as n
The value of n is
Let the first number be p = 126
Let the second number be q = 420
The factors of 126 = 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The factors of 420 = 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20 , 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210 and 420
So , the highest common factor of the two numbers 126 and 420 is 42
Therefore , the value of n = 42
Hence , the HCF is 42
To learn more about LCM and HCF click :
https://brainly.com/question/20049151?
#SPJ2
