GCD of 616, 974, 92, 378 Calculator

Given Input numbers are 616, 974, 92, 378

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 616, 974, 92, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 974, 92, 378 is 2.

Therefore, GCD of numbers 616, 974, 92, 378 is 2

Given Input Data is 616, 974, 92, 378

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 974 is 2 x 487

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(616, 974) = 299992

GCD(616, 974) = ( 616 x 974 ) / 299992

GCD(616, 974) = 599984 / 299992

GCD(616, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 378

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

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

GCD(2, 378) = 756 / 378

GCD(2, 378) = 2

GCD of 616, 974, 92, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 145, 72, 753
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• GCD of 737, 463, 93, 944
• GCD of 123, 763, 36, 875
• GCD of 744, 811, 57, 110

1. What is the GCD of 616, 974, 92, 378?

GCD of 616, 974, 92, 378 is 2

2. Where do I get the detailed procedure to find GCD of 616, 974, 92, 378?

You can find a detailed procedure to find GCD of 616, 974, 92, 378 on our page.

3. How to find GCD of 616, 974, 92, 378 on a calculator?

You can find the GCD of 616, 974, 92, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.