GCD of 826, 637, 707, 252 Calculator

Given Input numbers are 826, 637, 707, 252

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

Divisors of 826 :

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

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

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

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

GCD of numbers is the greatest common divisor

So, the GCD (826, 637, 707, 252) = 7.

Given numbers are 826, 637, 707, 252

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 637 are 7 x 7 x 13

Prime factors of 707 are 7 x 101

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

The highest common occurrence is 7¹

Therefore, GCD of 826, 637, 707, 252 is 7.

Given numbers are 826, 637, 707, 252

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

Apply this formula for all numbers.

Step1:

LCM(826, 637) = 75166

GCD(826, 637) = ( 826 x 637 ) / 75166

= 826 / 637

= 826

Step2:

LCM(7, 707) = 707

GCD(7, 707) = ( 7 x 707 ) / 707

= 7 / 707

= 7

Step3:

LCM(7, 252) = 252

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

= 7 / 252

= 7

So, Greatest Common Divisor of 826, 637, 707, 252 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 464, 876, 323
• GCD of 297, 801, 420, 686
• GCD of 191, 432, 323, 950
• GCD of 673, 770, 748, 747
• GCD of 657, 919, 722, 379

Given numbers are 826, 637, 707, 252
The greatest common divisor of numbers 826, 637, 707, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 637, 707, 252 is 7.

1. What is the GCD of 826, 637, 707, 252?

GCD of given numbers 826, 637, 707, 252 is 7

2. How to calculate the greatest common divisor of 826, 637, 707, 252?

We can find the highest common divisor of 826, 637, 707, 252 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 826, 637, 707, 252 i.e 7.

3. How can I use the GCD of 826, 637, 707, 252Calculator?

Out the numbers 826, 637, 707, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.