GCD of 921, 334, 137, 978 Calculator

Given Input numbers are 921, 334, 137, 978

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 137 :

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

1, 137

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

GCD of numbers is the greatest common divisor

So, the GCD (921, 334, 137, 978) = 1.

Given numbers are 921, 334, 137, 978

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 334 are 2 x 167

Prime factors of 137 are 137

Prime factors of 978 are 2 x 3 x 163

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

Given numbers are 921, 334, 137, 978

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

Apply this formula for all numbers.

Step1:

LCM(921, 334) = 307614

GCD(921, 334) = ( 921 x 334 ) / 307614

= 921 / 334

= 921

Step2:

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

= 1 / 137

= 1

Step3:

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

= 1 / 978

= 1

So, Greatest Common Divisor of 921, 334, 137, 978 is 1

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Given numbers are 921, 334, 137, 978
The greatest common divisor of numbers 921, 334, 137, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 334, 137, 978 is 1.

1. What is the GCD of 921, 334, 137, 978?

GCD of given numbers 921, 334, 137, 978 is 1

2. How to calculate the greatest common divisor of 921, 334, 137, 978?

We can find the highest common divisor of 921, 334, 137, 978 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 921, 334, 137, 978 i.e 1.

3. How can I use the GCD of 921, 334, 137, 978Calculator?

Out the numbers 921, 334, 137, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.