GCD of 644, 763, 252, 826 Calculator

Given Input numbers are 644, 763, 252, 826

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

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (644, 763, 252, 826) = 7.

Given numbers are 644, 763, 252, 826

The list of prime factors of all numbers are

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 763 are 7 x 109

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 7¹

Therefore, GCD of 644, 763, 252, 826 is 7.

Given numbers are 644, 763, 252, 826

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

Apply this formula for all numbers.

Step1:

LCM(644, 763) = 70196

GCD(644, 763) = ( 644 x 763 ) / 70196

= 644 / 763

= 644

Step2:

LCM(7, 252) = 252

GCD(7, 252) = ( 7 x 252 ) / 252

= 7 / 252

= 7

Step3:

LCM(7, 826) = 826

GCD(7, 826) = ( 7 x 826 ) / 826

= 7 / 826

= 7

So, Greatest Common Divisor of 644, 763, 252, 826 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 684, 353, 419
• GCD of 794, 895, 610, 402
• GCD of 813, 354, 452, 465
• GCD of 272, 639, 854, 538
• GCD of 994, 413, 381, 386

Given numbers are 644, 763, 252, 826
The greatest common divisor of numbers 644, 763, 252, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 763, 252, 826 is 7.

1. What is the GCD of 644, 763, 252, 826?

GCD of given numbers 644, 763, 252, 826 is 7

2. How to calculate the greatest common divisor of 644, 763, 252, 826?

We can find the highest common divisor of 644, 763, 252, 826 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 644, 763, 252, 826 i.e 7.

3. How can I use the GCD of 644, 763, 252, 826Calculator?

Out the numbers 644, 763, 252, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.