GCD of 760, 320, 660, 177 Calculator

Given Input numbers are 760, 320, 660, 177

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 760, 320, 660, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 320, 660, 177 is 1.

Therefore, GCD of numbers 760, 320, 660, 177 is 1

Given Input Data is 760, 320, 660, 177

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 177 is 3 x 59

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(760, 320) = 6080

GCD(760, 320) = ( 760 x 320 ) / 6080

GCD(760, 320) = 243200 / 6080

GCD(760, 320) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 660

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

LCM(40, 660) = 1320

GCD(40, 660) = ( 40 x 660 ) / 1320

GCD(40, 660) = 26400 / 1320

GCD(40, 660) = 20

Step3:

Here we consider the GCD from the above i.e. 20 as first number and the next as 177

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

LCM(20, 177) = 3540

GCD(20, 177) = ( 20 x 177 ) / 3540

GCD(20, 177) = 3540 / 3540

GCD(20, 177) = 1

GCD of 760, 320, 660, 177 is 1

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1. What is the GCD of 760, 320, 660, 177?

GCD of 760, 320, 660, 177 is 1

2. Where do I get the detailed procedure to find GCD of 760, 320, 660, 177?

You can find a detailed procedure to find GCD of 760, 320, 660, 177 on our page.

3. How to find GCD of 760, 320, 660, 177 on a calculator?

You can find the GCD of 760, 320, 660, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.