GCD of 760, 350, 756, 600 Calculator

Given Input numbers are 760, 350, 756, 600

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 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 760, 350, 756, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 350, 756, 600 is 2.

Therefore, GCD of numbers 760, 350, 756, 600 is 2

Given Input Data is 760, 350, 756, 600

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 350 is 2 x 5 x 5 x 7

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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(760, 350) = 26600

GCD(760, 350) = ( 760 x 350 ) / 26600

GCD(760, 350) = 266000 / 26600

GCD(760, 350) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 756

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

LCM(10, 756) = 3780

GCD(10, 756) = ( 10 x 756 ) / 3780

GCD(10, 756) = 7560 / 3780

GCD(10, 756) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

GCD of 760, 350, 756, 600 is 2

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1. What is the GCD of 760, 350, 756, 600?

GCD of 760, 350, 756, 600 is 2

2. Where do I get the detailed procedure to find GCD of 760, 350, 756, 600?

You can find a detailed procedure to find GCD of 760, 350, 756, 600 on our page.

3. How to find GCD of 760, 350, 756, 600 on a calculator?

You can find the GCD of 760, 350, 756, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.