GCD of 126, 338, 118, 852 Calculator

Given Input numbers are 126, 338, 118, 852

In the factoring method, we have to find the divisors of all numbers

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (126, 338, 118, 852) = 2.

Given numbers are 126, 338, 118, 852

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 338 are 2 x 13 x 13

Prime factors of 118 are 2 x 59

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 126, 338, 118, 852 is 2.

Given numbers are 126, 338, 118, 852

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(126, 338) = 21294

GCD(126, 338) = ( 126 x 338 ) / 21294

= 126 / 338

= 126

Step2:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

Step3:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

So, Greatest Common Divisor of 126, 338, 118, 852 is 2

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Given numbers are 126, 338, 118, 852
The greatest common divisor of numbers 126, 338, 118, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 338, 118, 852 is 2.

1. What is the GCD of 126, 338, 118, 852?

GCD of given numbers 126, 338, 118, 852 is 2

2. How to calculate the greatest common divisor of 126, 338, 118, 852?

We can find the highest common divisor of 126, 338, 118, 852 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 126, 338, 118, 852 i.e 2.

3. How can I use the GCD of 126, 338, 118, 852Calculator?

Out the numbers 126, 338, 118, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.