GCD of 974, 960, 77, 265 Calculator

Given Input numbers are 974, 960, 77, 265

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

Divisors of 974

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

1, 2, 487, 974

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 974, 960, 77, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 960, 77, 265 is 1.

Therefore, GCD of numbers 974, 960, 77, 265 is 1

Given Input Data is 974, 960, 77, 265

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 77 is 7 x 11

Prime Factorization of 265 is 5 x 53

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

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(974, 960) = 467520

GCD(974, 960) = ( 974 x 960 ) / 467520

GCD(974, 960) = 935040 / 467520

GCD(974, 960) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 974, 960, 77, 265 is 1

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1. What is the GCD of 974, 960, 77, 265?

GCD of 974, 960, 77, 265 is 1

2. Where do I get the detailed procedure to find GCD of 974, 960, 77, 265?

You can find a detailed procedure to find GCD of 974, 960, 77, 265 on our page.

3. How to find GCD of 974, 960, 77, 265 on a calculator?

You can find the GCD of 974, 960, 77, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.