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GCD of 948, 659, 685, 314 Calculator

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


Online GCD Calculator is useful to find the GCD of 948, 659, 685, 314 quickly. Get the easiest ways to solve the greatest common divisor of 948, 659, 685, 314 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 948, 659, 685, 314 with Factoring?

Given Input numbers are 948, 659, 685, 314

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314


GCD of numbers is the greatest common divisor

So, the GCD (948, 659, 685, 314) = 1.

Find GCD of 948, 659, 685, 314 using Prime Factorization

Given numbers are 948, 659, 685, 314

The list of prime factors of all numbers are

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 659 are 659

Prime factors of 685 are 5 x 137

Prime factors of 314 are 2 x 157

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

Steps to Calculate GCD of 948, 659, 685, 314 using LCM Formula

Given numbers are 948, 659, 685, 314

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

Apply this formula for all numbers.

Step1:

LCM(948, 659) = 624732

GCD(948, 659) = ( 948 x 659 ) / 624732

= 948 / 659

= 948


Step2:

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

= 1 / 685

= 1


Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1


So, Greatest Common Divisor of 948, 659, 685, 314 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 948, 659, 685, 314

Given numbers are 948, 659, 685, 314
The greatest common divisor of numbers 948, 659, 685, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 659, 685, 314 is 1.

FAQs on GCD of 948, 659, 685, 314 Calculator

1. What is the GCD of 948, 659, 685, 314?

GCD of given numbers 948, 659, 685, 314 is 1


2. How to calculate the greatest common divisor of 948, 659, 685, 314?

We can find the highest common divisor of 948, 659, 685, 314 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 948, 659, 685, 314 i.e 1.


3. How can I use the GCD of 948, 659, 685, 314Calculator?

Out the numbers 948, 659, 685, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.