GCD of 978, 980, 68, 274 Calculator

Given Input numbers are 978, 980, 68, 274

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

Divisors of 978 :

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

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

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (978, 980, 68, 274) = 2.

Given numbers are 978, 980, 68, 274

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 68 are 2 x 2 x 17

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 978, 980, 68, 274 is 2.

Given numbers are 978, 980, 68, 274

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

Apply this formula for all numbers.

Step1:

LCM(978, 980) = 479220

GCD(978, 980) = ( 978 x 980 ) / 479220

= 978 / 980

= 978

Step2:

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

= 2 / 68

= 2

Step3:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

So, Greatest Common Divisor of 978, 980, 68, 274 is 2

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• GCD of 476, 565, 46, 686
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Given numbers are 978, 980, 68, 274
The greatest common divisor of numbers 978, 980, 68, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 980, 68, 274 is 2.

1. What is the GCD of 978, 980, 68, 274?

GCD of given numbers 978, 980, 68, 274 is 2

2. How to calculate the greatest common divisor of 978, 980, 68, 274?

We can find the highest common divisor of 978, 980, 68, 274 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 978, 980, 68, 274 i.e 2.

3. How can I use the GCD of 978, 980, 68, 274Calculator?

Out the numbers 978, 980, 68, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.