Greatest Common Factor of 920/698, 6532/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 920/698, 6532/326

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 920/698,6532/326

Given fractions are 920/698,6532/326

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 920,6532

Greatest Common Factor of Numerators i.e. GCF of 920,6532 is 92 .

LCM of Denominators means LCM of 698,326 as per the given fractions.

LCM of 698,326 is 113774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 920,6532

GCF of Fractions 920/698,6532/326 is 92/113774

2 920, 6532
2 460, 3266
23 230, 1633
10, 71

∴ So the GCF of the given numbers is 2 x 2 x 23 = 92

Greatest Common Factor of 920,6532 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,6532 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 6532

List of positive integer factors of 6532 that divides 6532 without a remainder.

1,2,4,23,46,71,92,142,284,1633,3266,6532

Greatest Common Factor

We found the factors 920,6532 . The biggest common factor number is the GCF number.
So the greatest common factor 920,6532 is 92.


Lets's calculate LCM of 698,326

2 698, 326
349, 163

∴ So the LCM of the given numbers is 2 x 349 x 163 = 113774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 92/113774

Therefore, the GCF of Fractions 920/698,6532/326 is 92/113774

Least Common Multiple of 698,326 with GCF Formula

Least Common Multiple of 698,326 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 698,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,326) = 2

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

GCF(698,326) x common factors =2 x 1 = 2

LCM(698,326) = ( 698 × 326 ) / 2

LCM(698,326) = 227548 / 2

LCM(698,326) = 113774


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 920/698, 6532/326

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 920/698, 6532/326?

Answer: GCF of Numerators as per given numbers 920/698, 6532/326 is

GCF of Numerators i.e. for 920,6532 is 92

LCM of denominators i.e. for 698,326 is 113774.

Thus, GCF of Fractions is 92/113774.Finally, GCF of Fractions for 920/698, 6532/326 is 92/113774.