GCD of 634, 142, 892, 678 Calculator

Given Input numbers are 634, 142, 892, 678

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

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

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 (634, 142, 892, 678) = 2.

Given numbers are 634, 142, 892, 678

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 142 are 2 x 71

Prime factors of 892 are 2 x 2 x 223

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 634, 142, 892, 678 is 2.

Given numbers are 634, 142, 892, 678

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

Apply this formula for all numbers.

Step1:

LCM(634, 142) = 45014

GCD(634, 142) = ( 634 x 142 ) / 45014

= 634 / 142

= 634

Step2:

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

= 2 / 892

= 2

Step3:

LCM(2, 678) = 678

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

= 2 / 678

= 2

So, Greatest Common Divisor of 634, 142, 892, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 642, 115, 738
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Given numbers are 634, 142, 892, 678
The greatest common divisor of numbers 634, 142, 892, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 142, 892, 678 is 2.

1. What is the GCD of 634, 142, 892, 678?

GCD of given numbers 634, 142, 892, 678 is 2

2. How to calculate the greatest common divisor of 634, 142, 892, 678?

We can find the highest common divisor of 634, 142, 892, 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 634, 142, 892, 678 i.e 2.

3. How can I use the GCD of 634, 142, 892, 678Calculator?

Out the numbers 634, 142, 892, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.