GCD of 642, 297, 702, 924 Calculator

Given Input numbers are 642, 297, 702, 924

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 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (642, 297, 702, 924) = 3.

Given numbers are 642, 297, 702, 924

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 297 are 3 x 3 x 3 x 11

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

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 642, 297, 702, 924 is 3.

Given numbers are 642, 297, 702, 924

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

Apply this formula for all numbers.

Step1:

LCM(642, 297) = 63558

GCD(642, 297) = ( 642 x 297 ) / 63558

= 642 / 297

= 642

Step2:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

Step3:

LCM(3, 924) = 924

GCD(3, 924) = ( 3 x 924 ) / 924

= 3 / 924

= 3

So, Greatest Common Divisor of 642, 297, 702, 924 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 790, 171, 340
• GCD of 354, 155, 839, 676
• GCD of 882, 206, 597, 218
• GCD of 295, 941, 480, 726
• GCD of 193, 806, 974, 555

Given numbers are 642, 297, 702, 924
The greatest common divisor of numbers 642, 297, 702, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 297, 702, 924 is 3.

1. What is the GCD of 642, 297, 702, 924?

GCD of given numbers 642, 297, 702, 924 is 3

2. How to calculate the greatest common divisor of 642, 297, 702, 924?

We can find the highest common divisor of 642, 297, 702, 924 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, 297, 702, 924 i.e 3.

3. How can I use the GCD of 642, 297, 702, 924Calculator?

Out the numbers 642, 297, 702, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.