GCD of 734, 137, 824, 978 Calculator

Given Input numbers are 734, 137, 824, 978

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 137

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

1, 137

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 734, 137, 824, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 137, 824, 978 is 1.

Therefore, GCD of numbers 734, 137, 824, 978 is 1

Given Input Data is 734, 137, 824, 978

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 137 is 137

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 978 is 2 x 3 x 163

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(734, 137) = 100558

GCD(734, 137) = ( 734 x 137 ) / 100558

GCD(734, 137) = 100558 / 100558

GCD(734, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 734, 137, 824, 978 is 1

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1. What is the GCD of 734, 137, 824, 978?

GCD of 734, 137, 824, 978 is 1

2. Where do I get the detailed procedure to find GCD of 734, 137, 824, 978?

You can find a detailed procedure to find GCD of 734, 137, 824, 978 on our page.

3. How to find GCD of 734, 137, 824, 978 on a calculator?

You can find the GCD of 734, 137, 824, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.