GCD of 974, 492, 167, 728 Calculator

Given Input numbers are 974, 492, 167, 728

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 167 :

The positive integer divisors of 167 that completely divides 167 are.

1, 167

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (974, 492, 167, 728) = 1.

Given numbers are 974, 492, 167, 728

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 167 are 167

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 974, 492, 167, 728

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

Apply this formula for all numbers.

Step1:

LCM(974, 492) = 239604

GCD(974, 492) = ( 974 x 492 ) / 239604

= 974 / 492

= 974

Step2:

LCM(2, 167) = 334

GCD(2, 167) = ( 2 x 167 ) / 334

= 2 / 167

= 2

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 974, 492, 167, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 243, 812, 532
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Given numbers are 974, 492, 167, 728
The greatest common divisor of numbers 974, 492, 167, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 492, 167, 728 is 1.

1. What is the GCD of 974, 492, 167, 728?

GCD of given numbers 974, 492, 167, 728 is 1

2. How to calculate the greatest common divisor of 974, 492, 167, 728?

We can find the highest common divisor of 974, 492, 167, 728 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 974, 492, 167, 728 i.e 1.

3. How can I use the GCD of 974, 492, 167, 728Calculator?

Out the numbers 974, 492, 167, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.