GCD of 972, 741, 740, 917 Calculator

Given Input numbers are 972, 741, 740, 917

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

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 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

GCD of numbers is the greatest common divisor

So, the GCD (972, 741, 740, 917) = 1.

Given numbers are 972, 741, 740, 917

The list of prime factors of all numbers are

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

Prime factors of 741 are 3 x 13 x 19

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 917 are 7 x 131

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

Given numbers are 972, 741, 740, 917

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

Apply this formula for all numbers.

Step1:

LCM(972, 741) = 240084

GCD(972, 741) = ( 972 x 741 ) / 240084

= 972 / 741

= 972

Step2:

LCM(3, 740) = 2220

GCD(3, 740) = ( 3 x 740 ) / 2220

= 3 / 740

= 3

Step3:

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

= 1 / 917

= 1

So, Greatest Common Divisor of 972, 741, 740, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 243, 157, 189
• GCD of 738, 367, 170, 960
• GCD of 509, 274, 169, 942
• GCD of 626, 591, 905, 367
• GCD of 965, 202, 832, 670

Given numbers are 972, 741, 740, 917
The greatest common divisor of numbers 972, 741, 740, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 741, 740, 917 is 1.

1. What is the GCD of 972, 741, 740, 917?

GCD of given numbers 972, 741, 740, 917 is 1

2. How to calculate the greatest common divisor of 972, 741, 740, 917?

We can find the highest common divisor of 972, 741, 740, 917 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 972, 741, 740, 917 i.e 1.

3. How can I use the GCD of 972, 741, 740, 917Calculator?

Out the numbers 972, 741, 740, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.