GCD of 780, 340, 971, 756 Calculator

Given Input numbers are 780, 340, 971, 756

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

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

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 (780, 340, 971, 756) = 1.

Given numbers are 780, 340, 971, 756

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 971 are 971

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

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

Given numbers are 780, 340, 971, 756

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

Apply this formula for all numbers.

Step1:

LCM(780, 340) = 13260

GCD(780, 340) = ( 780 x 340 ) / 13260

= 780 / 340

= 780

Step2:

LCM(20, 971) = 19420

GCD(20, 971) = ( 20 x 971 ) / 19420

= 20 / 971

= 20

Step3:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

So, Greatest Common Divisor of 780, 340, 971, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 851, 210, 729
• GCD of 843, 728, 872, 736
• GCD of 319, 863, 411, 126
• GCD of 449, 648, 865, 822
• GCD of 277, 235, 341, 610

Given numbers are 780, 340, 971, 756
The greatest common divisor of numbers 780, 340, 971, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 340, 971, 756 is 1.

1. What is the GCD of 780, 340, 971, 756?

GCD of given numbers 780, 340, 971, 756 is 1

2. How to calculate the greatest common divisor of 780, 340, 971, 756?

We can find the highest common divisor of 780, 340, 971, 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 780, 340, 971, 756 i.e 1.

3. How can I use the GCD of 780, 340, 971, 756Calculator?

Out the numbers 780, 340, 971, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.