GCD of 136, 624, 42, 634 Calculator

Given Input numbers are 136, 624, 42, 634

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

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 634 :

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

1, 2, 317, 634

GCD of numbers is the greatest common divisor

So, the GCD (136, 624, 42, 634) = 2.

Given numbers are 136, 624, 42, 634

The list of prime factors of all numbers are

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 42 are 2 x 3 x 7

Prime factors of 634 are 2 x 317

The highest common occurrence is 2¹

Therefore, GCD of 136, 624, 42, 634 is 2.

Given numbers are 136, 624, 42, 634

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

Apply this formula for all numbers.

Step1:

LCM(136, 624) = 10608

GCD(136, 624) = ( 136 x 624 ) / 10608

= 136 / 624

= 136

Step2:

LCM(8, 42) = 168

GCD(8, 42) = ( 8 x 42 ) / 168

= 8 / 42

= 8

Step3:

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

= 2 / 634

= 2

So, Greatest Common Divisor of 136, 624, 42, 634 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 113, 39, 557
• GCD of 529, 364, 23, 926
• GCD of 705, 857, 73, 438
• GCD of 932, 144, 97, 145
• GCD of 857, 316, 91, 589

Given numbers are 136, 624, 42, 634
The greatest common divisor of numbers 136, 624, 42, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 624, 42, 634 is 2.

1. What is the GCD of 136, 624, 42, 634?

GCD of given numbers 136, 624, 42, 634 is 2

2. How to calculate the greatest common divisor of 136, 624, 42, 634?

We can find the highest common divisor of 136, 624, 42, 634 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 136, 624, 42, 634 i.e 2.

3. How can I use the GCD of 136, 624, 42, 634Calculator?

Out the numbers 136, 624, 42, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.