Greatest Common Factor of 65/70, 89/522, 451/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/70, 89/522, 451/664

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 65/70,89/522,451/664

Given fractions are 65/70,89/522,451/664

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 65,89,451

Greatest Common Factor of Numerators i.e. GCF of 65,89,451 is 1 .

LCM of Denominators means LCM of 70,522,664 as per the given fractions.

LCM of 70,522,664 is 6065640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,89,451

GCF of Fractions 65/70,89/522,451/664 is 1/6065640

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 65,89,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,89,451 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 65,89,451 . The biggest common factor number is the GCF number.
So the greatest common factor 65,89,451 is 1.

Lets's calculate LCM of 70,522,664

2 70, 522, 664
35, 261, 332

∴ So the LCM of the given numbers is 2 x 35 x 261 x 332 = 6065640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6065640

Therefore, the GCF of Fractions 65/70,89/522,451/664 is 1/6065640

Least Common Multiple of 70,522,664 with GCF Formula

Least Common Multiple of 70,522,664 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 70,522,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,522,664) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(70,522,664) x common factors =2 x 2 = 4

LCM(70,522,664) = ( 70 × 522 × 664 ) / 4

LCM(70,522,664) = 24262560 / 4

LCM(70,522,664) = 6065640


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 65/70, 89/522, 451/664

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 65/70, 89/522, 451/664?

Answer: GCF of Numerators as per given numbers 65/70, 89/522, 451/664 is

GCF of Numerators i.e. for 65,89,451 is 1

LCM of denominators i.e. for 70,522,664 is 6065640.

Thus, GCF of Fractions is 1/6065640.Finally, GCF of Fractions for 65/70, 89/522, 451/664 is 1/6065640.