GCD of 126, 746, 202, 678 Calculator

Given Input numbers are 126, 746, 202, 678

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 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (126, 746, 202, 678) = 2.

Given numbers are 126, 746, 202, 678

The list of prime factors of all numbers are

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

Prime factors of 746 are 2 x 373

Prime factors of 202 are 2 x 101

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 126, 746, 202, 678 is 2.

Given numbers are 126, 746, 202, 678

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

Apply this formula for all numbers.

Step1:

LCM(126, 746) = 46998

GCD(126, 746) = ( 126 x 746 ) / 46998

= 126 / 746

= 126

Step2:

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

= 2 / 202

= 2

Step3:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

So, Greatest Common Divisor of 126, 746, 202, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 401, 373, 936
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Given numbers are 126, 746, 202, 678
The greatest common divisor of numbers 126, 746, 202, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 746, 202, 678 is 2.

1. What is the GCD of 126, 746, 202, 678?

GCD of given numbers 126, 746, 202, 678 is 2

2. How to calculate the greatest common divisor of 126, 746, 202, 678?

We can find the highest common divisor of 126, 746, 202, 678 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, 746, 202, 678 i.e 2.

3. How can I use the GCD of 126, 746, 202, 678Calculator?

Out the numbers 126, 746, 202, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.