GCD of 517, 357, 780, 971 Calculator

Given Input numbers are 517, 357, 780, 971

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

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

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 971 :

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

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (517, 357, 780, 971) = 1.

Given numbers are 517, 357, 780, 971

The list of prime factors of all numbers are

Prime factors of 517 are 11 x 47

Prime factors of 357 are 3 x 7 x 17

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

Prime factors of 971 are 971

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

Given numbers are 517, 357, 780, 971

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

Apply this formula for all numbers.

Step1:

LCM(517, 357) = 184569

GCD(517, 357) = ( 517 x 357 ) / 184569

= 517 / 357

= 517

Step2:

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

= 1 / 780

= 1

Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1

So, Greatest Common Divisor of 517, 357, 780, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 546, 134, 426
• GCD of 414, 800, 283, 318
• GCD of 864, 594, 288, 656
• GCD of 133, 396, 290, 559
• GCD of 388, 818, 346, 148

Given numbers are 517, 357, 780, 971
The greatest common divisor of numbers 517, 357, 780, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 517, 357, 780, 971 is 1.

1. What is the GCD of 517, 357, 780, 971?

GCD of given numbers 517, 357, 780, 971 is 1

2. How to calculate the greatest common divisor of 517, 357, 780, 971?

We can find the highest common divisor of 517, 357, 780, 971 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 517, 357, 780, 971 i.e 1.

3. How can I use the GCD of 517, 357, 780, 971Calculator?

Out the numbers 517, 357, 780, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.