GCD of 718, 497, 972, 991 Calculator

Given Input numbers are 718, 497, 972, 991

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (718, 497, 972, 991) = 1.

Given numbers are 718, 497, 972, 991

The list of prime factors of all numbers are

Prime factors of 718 are 2 x 359

Prime factors of 497 are 7 x 71

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 991 are 991

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

Given numbers are 718, 497, 972, 991

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

Apply this formula for all numbers.

Step1:

LCM(718, 497) = 356846

GCD(718, 497) = ( 718 x 497 ) / 356846

= 718 / 497

= 718

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

= 1 / 991

= 1

So, Greatest Common Divisor of 718, 497, 972, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 689, 145, 230
• GCD of 785, 320, 999, 868
• GCD of 969, 851, 893, 735
• GCD of 941, 991, 382, 794
• GCD of 119, 325, 608, 817

Given numbers are 718, 497, 972, 991
The greatest common divisor of numbers 718, 497, 972, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 718, 497, 972, 991 is 1.

1. What is the GCD of 718, 497, 972, 991?

GCD of given numbers 718, 497, 972, 991 is 1

2. How to calculate the greatest common divisor of 718, 497, 972, 991?

We can find the highest common divisor of 718, 497, 972, 991 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 718, 497, 972, 991 i.e 1.

3. How can I use the GCD of 718, 497, 972, 991Calculator?

Out the numbers 718, 497, 972, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.