GCD of 217, 157, 972, 991 Calculator

Given Input numbers are 217, 157, 972, 991

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 157 :

The positive integer divisors of 157 that completely divides 157 are.

1, 157

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 (217, 157, 972, 991) = 1.

Given numbers are 217, 157, 972, 991

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 157 are 157

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 217, 157, 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(217, 157) = 34069

GCD(217, 157) = ( 217 x 157 ) / 34069

= 217 / 157

= 217

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 217, 157, 972, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 961, 559, 813
• GCD of 598, 650, 644, 493
• GCD of 462, 313, 128, 140
• GCD of 588, 989, 960, 620
• GCD of 369, 744, 377, 238

Given numbers are 217, 157, 972, 991
The greatest common divisor of numbers 217, 157, 972, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 157, 972, 991 is 1.

1. What is the GCD of 217, 157, 972, 991?

GCD of given numbers 217, 157, 972, 991 is 1

2. How to calculate the greatest common divisor of 217, 157, 972, 991?

We can find the highest common divisor of 217, 157, 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 217, 157, 972, 991 i.e 1.

3. How can I use the GCD of 217, 157, 972, 991Calculator?

Out the numbers 217, 157, 972, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.