GCD of 780, 772, 971, 742 Calculator

Given Input numbers are 780, 772, 971, 742

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 971 :

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

1, 971

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (780, 772, 971, 742) = 1.

Given numbers are 780, 772, 971, 742

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 772 are 2 x 2 x 193

Prime factors of 971 are 971

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 780, 772, 971, 742

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

Apply this formula for all numbers.

Step1:

LCM(780, 772) = 150540

GCD(780, 772) = ( 780 x 772 ) / 150540

= 780 / 772

= 780

Step2:

LCM(4, 971) = 3884

GCD(4, 971) = ( 4 x 971 ) / 3884

= 4 / 971

= 4

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 780, 772, 971, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 556, 728, 408
• GCD of 847, 304, 292, 853
• GCD of 731, 264, 534, 965
• GCD of 559, 729, 595, 221
• GCD of 614, 985, 975, 723

Given numbers are 780, 772, 971, 742
The greatest common divisor of numbers 780, 772, 971, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 772, 971, 742 is 1.

1. What is the GCD of 780, 772, 971, 742?

GCD of given numbers 780, 772, 971, 742 is 1

2. How to calculate the greatest common divisor of 780, 772, 971, 742?

We can find the highest common divisor of 780, 772, 971, 742 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, 772, 971, 742 i.e 1.

3. How can I use the GCD of 780, 772, 971, 742Calculator?

Out the numbers 780, 772, 971, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.