GCD of 725, 158, 208, 972 Calculator

Given Input numbers are 725, 158, 208, 972

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

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

GCD of numbers is the greatest common divisor

So, the GCD (725, 158, 208, 972) = 1.

Given numbers are 725, 158, 208, 972

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 158 are 2 x 79

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

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

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

Given numbers are 725, 158, 208, 972

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

Apply this formula for all numbers.

Step1:

LCM(725, 158) = 114550

GCD(725, 158) = ( 725 x 158 ) / 114550

= 725 / 158

= 725

Step2:

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

= 1 / 208

= 1

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 725, 158, 208, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 545, 814, 113
• GCD of 460, 597, 631, 727
• GCD of 964, 463, 201, 972
• GCD of 436, 903, 487, 608
• GCD of 250, 760, 320, 129

Given numbers are 725, 158, 208, 972
The greatest common divisor of numbers 725, 158, 208, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 158, 208, 972 is 1.

1. What is the GCD of 725, 158, 208, 972?

GCD of given numbers 725, 158, 208, 972 is 1

2. How to calculate the greatest common divisor of 725, 158, 208, 972?

We can find the highest common divisor of 725, 158, 208, 972 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 725, 158, 208, 972 i.e 1.

3. How can I use the GCD of 725, 158, 208, 972Calculator?

Out the numbers 725, 158, 208, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.