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GCD of 392, 469, 914, 137 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 392, 469, 914, 137 quickly. Get the easiest ways to solve the greatest common divisor of 392, 469, 914, 137 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 392, 469, 914, 137 with Factoring?

Given Input numbers are 392, 469, 914, 137

In the factoring method, we have to find the divisors of all numbers

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137


GCD of numbers is the greatest common divisor

So, the GCD (392, 469, 914, 137) = 1.

Find GCD of 392, 469, 914, 137 using Prime Factorization

Given numbers are 392, 469, 914, 137

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 469 are 7 x 67

Prime factors of 914 are 2 x 457

Prime factors of 137 are 137

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 392, 469, 914, 137 using LCM Formula

Given numbers are 392, 469, 914, 137

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(392, 469) = 26264

GCD(392, 469) = ( 392 x 469 ) / 26264

= 392 / 469

= 392


Step2:

LCM(7, 914) = 6398

GCD(7, 914) = ( 7 x 914 ) / 6398

= 7 / 914

= 7


Step3:

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

= 1 / 137

= 1


So, Greatest Common Divisor of 392, 469, 914, 137 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 392, 469, 914, 137

Given numbers are 392, 469, 914, 137
The greatest common divisor of numbers 392, 469, 914, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 469, 914, 137 is 1.

FAQs on GCD of 392, 469, 914, 137 Calculator

1. What is the GCD of 392, 469, 914, 137?

GCD of given numbers 392, 469, 914, 137 is 1


2. How to calculate the greatest common divisor of 392, 469, 914, 137?

We can find the highest common divisor of 392, 469, 914, 137 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 392, 469, 914, 137 i.e 1.


3. How can I use the GCD of 392, 469, 914, 137Calculator?

Out the numbers 392, 469, 914, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.