GCD of 965, 768, 980, 148 Calculator

Given Input numbers are 965, 768, 980, 148

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

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 965, 768, 980, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 768, 980, 148 is 1.

Therefore, GCD of numbers 965, 768, 980, 148 is 1

Given Input Data is 965, 768, 980, 148

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 148 is 2 x 2 x 37

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(965, 768) = 741120

GCD(965, 768) = ( 965 x 768 ) / 741120

GCD(965, 768) = 741120 / 741120

GCD(965, 768) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 965, 768, 980, 148 is 1

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1. What is the GCD of 965, 768, 980, 148?

GCD of 965, 768, 980, 148 is 1

2. Where do I get the detailed procedure to find GCD of 965, 768, 980, 148?

You can find a detailed procedure to find GCD of 965, 768, 980, 148 on our page.

3. How to find GCD of 965, 768, 980, 148 on a calculator?

You can find the GCD of 965, 768, 980, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.