GCD of 970, 278, 53, 220 Calculator

Given Input numbers are 970, 278, 53, 220

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 970, 278, 53, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 278, 53, 220 is 1.

Therefore, GCD of numbers 970, 278, 53, 220 is 1

Given Input Data is 970, 278, 53, 220

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 278 is 2 x 139

Prime Factorization of 53 is 53

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(970, 278) = 134830

GCD(970, 278) = ( 970 x 278 ) / 134830

GCD(970, 278) = 269660 / 134830

GCD(970, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 970, 278, 53, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 529, 25, 524
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• GCD of 917, 374, 89, 713
• GCD of 770, 888, 58, 383
• GCD of 426, 135, 23, 613

1. What is the GCD of 970, 278, 53, 220?

GCD of 970, 278, 53, 220 is 1

2. Where do I get the detailed procedure to find GCD of 970, 278, 53, 220?

You can find a detailed procedure to find GCD of 970, 278, 53, 220 on our page.

3. How to find GCD of 970, 278, 53, 220 on a calculator?

You can find the GCD of 970, 278, 53, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.