GCD of 981, 465, 756, 749 Calculator

Given Input numbers are 981, 465, 756, 749

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

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

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 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (981, 465, 756, 749) = 1.

Given numbers are 981, 465, 756, 749

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 465 are 3 x 5 x 31

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

Prime factors of 749 are 7 x 107

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

Given numbers are 981, 465, 756, 749

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

Apply this formula for all numbers.

Step1:

LCM(981, 465) = 152055

GCD(981, 465) = ( 981 x 465 ) / 152055

= 981 / 465

= 981

Step2:

LCM(3, 756) = 756

GCD(3, 756) = ( 3 x 756 ) / 756

= 3 / 756

= 3

Step3:

LCM(3, 749) = 2247

GCD(3, 749) = ( 3 x 749 ) / 2247

= 3 / 749

= 3

So, Greatest Common Divisor of 981, 465, 756, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 130, 427, 204
• GCD of 843, 610, 892, 953
• GCD of 401, 102, 107, 388
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• GCD of 601, 720, 881, 979

Given numbers are 981, 465, 756, 749
The greatest common divisor of numbers 981, 465, 756, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 465, 756, 749 is 1.

1. What is the GCD of 981, 465, 756, 749?

GCD of given numbers 981, 465, 756, 749 is 1

2. How to calculate the greatest common divisor of 981, 465, 756, 749?

We can find the highest common divisor of 981, 465, 756, 749 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 981, 465, 756, 749 i.e 1.

3. How can I use the GCD of 981, 465, 756, 749Calculator?

Out the numbers 981, 465, 756, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.