GCD of 642, 456, 642, 702 Calculator

Given Input numbers are 642, 456, 642, 702

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (642, 456, 642, 702) = 6.

Given numbers are 642, 456, 642, 702

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 642 are 2 x 3 x 107

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 642, 456, 642, 702 is 6.

Given numbers are 642, 456, 642, 702

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

Apply this formula for all numbers.

Step1:

LCM(642, 456) = 48792

GCD(642, 456) = ( 642 x 456 ) / 48792

= 642 / 456

= 642

Step2:

LCM(6, 642) = 642

GCD(6, 642) = ( 6 x 642 ) / 642

= 6 / 642

= 6

Step3:

LCM(6, 702) = 702

GCD(6, 702) = ( 6 x 702 ) / 702

= 6 / 702

= 6

So, Greatest Common Divisor of 642, 456, 642, 702 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 875, 907, 655
• GCD of 788, 116, 768, 376
• GCD of 329, 686, 905, 982
• GCD of 639, 957, 408, 263
• GCD of 324, 632, 307, 833

Given numbers are 642, 456, 642, 702
The greatest common divisor of numbers 642, 456, 642, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 456, 642, 702 is 6.

1. What is the GCD of 642, 456, 642, 702?

GCD of given numbers 642, 456, 642, 702 is 6

2. How to calculate the greatest common divisor of 642, 456, 642, 702?

We can find the highest common divisor of 642, 456, 642, 702 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 642, 456, 642, 702 i.e 6.

3. How can I use the GCD of 642, 456, 642, 702Calculator?

Out the numbers 642, 456, 642, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.