GCD of 679, 707, 763, 756 Calculator

Given Input numbers are 679, 707, 763, 756

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

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

Divisors of 707 :

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

1, 7, 101, 707

Divisors of 763 :

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

1, 7, 109, 763

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (679, 707, 763, 756) = 7.

Given numbers are 679, 707, 763, 756

The list of prime factors of all numbers are

Prime factors of 679 are 7 x 97

Prime factors of 707 are 7 x 101

Prime factors of 763 are 7 x 109

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

The highest common occurrence is 7¹

Therefore, GCD of 679, 707, 763, 756 is 7.

Given numbers are 679, 707, 763, 756

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

Apply this formula for all numbers.

Step1:

LCM(679, 707) = 68579

GCD(679, 707) = ( 679 x 707 ) / 68579

= 679 / 707

= 679

Step2:

LCM(7, 763) = 763

GCD(7, 763) = ( 7 x 763 ) / 763

= 7 / 763

= 7

Step3:

LCM(7, 756) = 756

GCD(7, 756) = ( 7 x 756 ) / 756

= 7 / 756

= 7

So, Greatest Common Divisor of 679, 707, 763, 756 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 378, 484, 605
• GCD of 547, 804, 486, 400
• GCD of 142, 463, 631, 847
• GCD of 135, 791, 501, 696
• GCD of 545, 889, 156, 290

Given numbers are 679, 707, 763, 756
The greatest common divisor of numbers 679, 707, 763, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 679, 707, 763, 756 is 7.

1. What is the GCD of 679, 707, 763, 756?

GCD of given numbers 679, 707, 763, 756 is 7

2. How to calculate the greatest common divisor of 679, 707, 763, 756?

We can find the highest common divisor of 679, 707, 763, 756 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 679, 707, 763, 756 i.e 7.

3. How can I use the GCD of 679, 707, 763, 756Calculator?

Out the numbers 679, 707, 763, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.