GCD of 137, 972, 387, 458 Calculator

Given Input numbers are 137, 972, 387, 458

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

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

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 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

GCD of numbers is the greatest common divisor

So, the GCD (137, 972, 387, 458) = 1.

Given numbers are 137, 972, 387, 458

The list of prime factors of all numbers are

Prime factors of 137 are 137

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

Prime factors of 387 are 3 x 3 x 43

Prime factors of 458 are 2 x 229

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

Given numbers are 137, 972, 387, 458

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

Apply this formula for all numbers.

Step1:

LCM(137, 972) = 133164

GCD(137, 972) = ( 137 x 972 ) / 133164

= 137 / 972

= 137

Step2:

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

= 1 / 387

= 1

Step3:

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

= 1 / 458

= 1

So, Greatest Common Divisor of 137, 972, 387, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 545, 801, 131
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Given numbers are 137, 972, 387, 458
The greatest common divisor of numbers 137, 972, 387, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 972, 387, 458 is 1.

1. What is the GCD of 137, 972, 387, 458?

GCD of given numbers 137, 972, 387, 458 is 1

2. How to calculate the greatest common divisor of 137, 972, 387, 458?

We can find the highest common divisor of 137, 972, 387, 458 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 137, 972, 387, 458 i.e 1.

3. How can I use the GCD of 137, 972, 387, 458Calculator?

Out the numbers 137, 972, 387, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.