GCD of 378, 892, 137, 480 Calculator

Given Input numbers are 378, 892, 137, 480

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 378, 892, 137, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 892, 137, 480 is 1.

Therefore, GCD of numbers 378, 892, 137, 480 is 1

Given Input Data is 378, 892, 137, 480

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 137 is 137

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(378, 892) = 168588

GCD(378, 892) = ( 378 x 892 ) / 168588

GCD(378, 892) = 337176 / 168588

GCD(378, 892) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 137

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

LCM(2, 137) = 274

GCD(2, 137) = ( 2 x 137 ) / 274

GCD(2, 137) = 274 / 274

GCD(2, 137) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 378, 892, 137, 480 is 1

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• GCD of 189, 533, 727, 368
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1. What is the GCD of 378, 892, 137, 480?

GCD of 378, 892, 137, 480 is 1

2. Where do I get the detailed procedure to find GCD of 378, 892, 137, 480?

You can find a detailed procedure to find GCD of 378, 892, 137, 480 on our page.

3. How to find GCD of 378, 892, 137, 480 on a calculator?

You can find the GCD of 378, 892, 137, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.