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GCD of 275, 314, 70 Calculator

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


Online GCD Calculator is useful to find the GCD of 275, 314, 70 quickly. Get the easiest ways to solve the greatest common divisor of 275, 314, 70 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 275, 314, 70 with Factoring?

Given Input numbers are 275, 314, 70

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

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70


GCD of numbers is the greatest common divisor

So, the GCD (275, 314, 70) = 1.

Find GCD of 275, 314, 70 using Prime Factorization

Given numbers are 275, 314, 70

The list of prime factors of all numbers are

Prime factors of 275 are 5 x 5 x 11

Prime factors of 314 are 2 x 157

Prime factors of 70 are 2 x 5 x 7

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

Steps to Calculate GCD of 275, 314, 70 using LCM Formula

Given numbers are 275, 314, 70

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

Apply this formula for all numbers.

Step1:

LCM(275, 314) = 86350

GCD(275, 314) = ( 275 x 314 ) / 86350

= 275 / 314

= 275


Step2:

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

= 1 / 70

= 1


So, Greatest Common Divisor of 275, 314, 70 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 275, 314, 70

Given numbers are 275, 314, 70
The greatest common divisor of numbers 275, 314, 70 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 275, 314, 70 is 1.

FAQs on GCD of 275, 314, 70 Calculator

1. What is the GCD of 275, 314, 70?

GCD of given numbers 275, 314, 70 is 1


2. How to calculate the greatest common divisor of 275, 314, 70?

We can find the highest common divisor of 275, 314, 70 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 275, 314, 70 i.e 1.


3. How can I use the GCD of 275, 314, 70Calculator?

Out the numbers 275, 314, 70 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.