GCD of 969, 312, 371, 790 Calculator

Given Input numbers are 969, 312, 371, 790

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

GCD of numbers is the greatest common divisor

So, the GCD (969, 312, 371, 790) = 1.

Given numbers are 969, 312, 371, 790

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 371 are 7 x 53

Prime factors of 790 are 2 x 5 x 79

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

Given numbers are 969, 312, 371, 790

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

Apply this formula for all numbers.

Step1:

LCM(969, 312) = 100776

GCD(969, 312) = ( 969 x 312 ) / 100776

= 969 / 312

= 969

Step2:

LCM(3, 371) = 1113

GCD(3, 371) = ( 3 x 371 ) / 1113

= 3 / 371

= 3

Step3:

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

= 1 / 790

= 1

So, Greatest Common Divisor of 969, 312, 371, 790 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 624, 686, 969
• GCD of 318, 640, 243, 145
• GCD of 704, 609, 818, 170
• GCD of 390, 311, 581, 735
• GCD of 416, 903, 173, 351

Given numbers are 969, 312, 371, 790
The greatest common divisor of numbers 969, 312, 371, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 312, 371, 790 is 1.

1. What is the GCD of 969, 312, 371, 790?

GCD of given numbers 969, 312, 371, 790 is 1

2. How to calculate the greatest common divisor of 969, 312, 371, 790?

We can find the highest common divisor of 969, 312, 371, 790 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 969, 312, 371, 790 i.e 1.

3. How can I use the GCD of 969, 312, 371, 790Calculator?

Out the numbers 969, 312, 371, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.