GCD of 291, 413, 972, 700 Calculator

Given Input numbers are 291, 413, 972, 700

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

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

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 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (291, 413, 972, 700) = 1.

Given numbers are 291, 413, 972, 700

The list of prime factors of all numbers are

Prime factors of 291 are 3 x 97

Prime factors of 413 are 7 x 59

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

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Given numbers are 291, 413, 972, 700

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

Apply this formula for all numbers.

Step1:

LCM(291, 413) = 120183

GCD(291, 413) = ( 291 x 413 ) / 120183

= 291 / 413

= 291

Step2:

LCM(1, 972) = 972

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

= 1 / 972

= 1

Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 291, 413, 972, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 411, 921, 445
• GCD of 483, 597, 809, 516
• GCD of 923, 388, 477, 834
• GCD of 261, 324, 725, 190
• GCD of 426, 408, 986, 975

Given numbers are 291, 413, 972, 700
The greatest common divisor of numbers 291, 413, 972, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 291, 413, 972, 700 is 1.

1. What is the GCD of 291, 413, 972, 700?

GCD of given numbers 291, 413, 972, 700 is 1

2. How to calculate the greatest common divisor of 291, 413, 972, 700?

We can find the highest common divisor of 291, 413, 972, 700 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 291, 413, 972, 700 i.e 1.

3. How can I use the GCD of 291, 413, 972, 700Calculator?

Out the numbers 291, 413, 972, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.