Greatest Common Factor of 670/46, 7246/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 670/46, 7246/312

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 670/46,7246/312

Given fractions are 670/46,7246/312

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 670,7246

Greatest Common Factor of Numerators i.e. GCF of 670,7246 is 2 .

LCM of Denominators means LCM of 46,312 as per the given fractions.

LCM of 46,312 is 7176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 670,7246

GCF of Fractions 670/46,7246/312 is 2/7176

2 670, 7246
335, 3623

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 670,7246 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,7246 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 7246

List of positive integer factors of 7246 that divides 7246 without a remainder.

1,2,3623,7246

Greatest Common Factor

We found the factors 670,7246 . The biggest common factor number is the GCF number.
So the greatest common factor 670,7246 is 2.

Lets's calculate LCM of 46,312

2 46, 312
23, 156

∴ So the LCM of the given numbers is 2 x 23 x 156 = 7176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7176

Therefore, the GCF of Fractions 670/46,7246/312 is 2/7176

Least Common Multiple of 46,312 with GCF Formula

Least Common Multiple of 46,312 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 46,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,312) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(46,312) x common factors =2 x 1 = 2

LCM(46,312) = ( 46 × 312 ) / 2

LCM(46,312) = 14352 / 2

LCM(46,312) = 7176


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 670/46, 7246/312

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 670/46, 7246/312?

Answer: GCF of Numerators as per given numbers 670/46, 7246/312 is

GCF of Numerators i.e. for 670,7246 is 2

LCM of denominators i.e. for 46,312 is 7176.

Thus, GCF of Fractions is 2/7176.Finally, GCF of Fractions for 670/46, 7246/312 is 2/7176.