GCD of 978, 420, 272, 350 Calculator

Given Input numbers are 978, 420, 272, 350

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (978, 420, 272, 350) = 2.

Given numbers are 978, 420, 272, 350

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 978, 420, 272, 350 is 2.

Given numbers are 978, 420, 272, 350

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

Apply this formula for all numbers.

Step1:

LCM(978, 420) = 68460

GCD(978, 420) = ( 978 x 420 ) / 68460

= 978 / 420

= 978

Step2:

LCM(6, 272) = 816

GCD(6, 272) = ( 6 x 272 ) / 816

= 6 / 272

= 6

Step3:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

So, Greatest Common Divisor of 978, 420, 272, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 858, 484, 578
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Given numbers are 978, 420, 272, 350
The greatest common divisor of numbers 978, 420, 272, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 420, 272, 350 is 2.

1. What is the GCD of 978, 420, 272, 350?

GCD of given numbers 978, 420, 272, 350 is 2

2. How to calculate the greatest common divisor of 978, 420, 272, 350?

We can find the highest common divisor of 978, 420, 272, 350 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, 420, 272, 350 i.e 2.

3. How can I use the GCD of 978, 420, 272, 350Calculator?

Out the numbers 978, 420, 272, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.