GCD of 756, 656, 901, 698 Calculator

Given Input numbers are 756, 656, 901, 698

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

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

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (756, 656, 901, 698) = 1.

Given numbers are 756, 656, 901, 698

The list of prime factors of all numbers are

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

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 901 are 17 x 53

Prime factors of 698 are 2 x 349

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 756, 656, 901, 698

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

Apply this formula for all numbers.

Step1:

LCM(756, 656) = 123984

GCD(756, 656) = ( 756 x 656 ) / 123984

= 756 / 656

= 756

Step2:

LCM(4, 901) = 3604

GCD(4, 901) = ( 4 x 901 ) / 3604

= 4 / 901

= 4

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 756, 656, 901, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 407, 926, 391
• GCD of 578, 344, 118, 466
• GCD of 483, 697, 769, 505
• GCD of 916, 959, 447, 310
• GCD of 735, 391, 206, 495

Given numbers are 756, 656, 901, 698
The greatest common divisor of numbers 756, 656, 901, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 656, 901, 698 is 1.

1. What is the GCD of 756, 656, 901, 698?

GCD of given numbers 756, 656, 901, 698 is 1

2. How to calculate the greatest common divisor of 756, 656, 901, 698?

We can find the highest common divisor of 756, 656, 901, 698 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 756, 656, 901, 698 i.e 1.

3. How can I use the GCD of 756, 656, 901, 698Calculator?

Out the numbers 756, 656, 901, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.