GCD of 980, 968, 448, 740 Calculator

Given Input numbers are 980, 968, 448, 740

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

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 980, 968, 448, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 968, 448, 740 is 4.

Therefore, GCD of numbers 980, 968, 448, 740 is 4

Given Input Data is 980, 968, 448, 740

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 740 is 2 x 2 x 5 x 37

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(980, 968) = 237160

GCD(980, 968) = ( 980 x 968 ) / 237160

GCD(980, 968) = 948640 / 237160

GCD(980, 968) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 448

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

LCM(4, 448) = 448

GCD(4, 448) = ( 4 x 448 ) / 448

GCD(4, 448) = 1792 / 448

GCD(4, 448) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 740

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

LCM(4, 740) = 740

GCD(4, 740) = ( 4 x 740 ) / 740

GCD(4, 740) = 2960 / 740

GCD(4, 740) = 4

GCD of 980, 968, 448, 740 is 4

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1. What is the GCD of 980, 968, 448, 740?

GCD of 980, 968, 448, 740 is 4

2. Where do I get the detailed procedure to find GCD of 980, 968, 448, 740?

You can find a detailed procedure to find GCD of 980, 968, 448, 740 on our page.

3. How to find GCD of 980, 968, 448, 740 on a calculator?

You can find the GCD of 980, 968, 448, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.