GCD of 60, 550, 754, 972 Calculator

Given Input numbers are 60, 550, 754, 972

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 60, 550, 754, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 550, 754, 972 is 2.

Therefore, GCD of numbers 60, 550, 754, 972 is 2

Given Input Data is 60, 550, 754, 972

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(60, 550) = 3300

GCD(60, 550) = ( 60 x 550 ) / 3300

GCD(60, 550) = 33000 / 3300

GCD(60, 550) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 754

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

LCM(10, 754) = 3770

GCD(10, 754) = ( 10 x 754 ) / 3770

GCD(10, 754) = 7540 / 3770

GCD(10, 754) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 972

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

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

GCD(2, 972) = 1944 / 972

GCD(2, 972) = 2

GCD of 60, 550, 754, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 354, 971, 986
• GCD of 59, 565, 744, 186
• GCD of 58, 612, 798, 480
• GCD of 32, 478, 128, 165
• GCD of 48, 263, 693, 111

1. What is the GCD of 60, 550, 754, 972?

GCD of 60, 550, 754, 972 is 2

2. Where do I get the detailed procedure to find GCD of 60, 550, 754, 972?

You can find a detailed procedure to find GCD of 60, 550, 754, 972 on our page.

3. How to find GCD of 60, 550, 754, 972 on a calculator?

You can find the GCD of 60, 550, 754, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.