Greatest Common Factor of 6232/677, 9834/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6232/677, 9834/269

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 6232/677,9834/269

Given fractions are 6232/677,9834/269

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 6232,9834

Greatest Common Factor of Numerators i.e. GCF of 6232,9834 is 2 .

LCM of Denominators means LCM of 677,269 as per the given fractions.

LCM of 677,269 is 182113 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6232,9834

GCF of Fractions 6232/677,9834/269 is 2/182113

2 6232, 9834
3116, 4917

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

Greatest Common Factor of 6232,9834 By Matching Biggest Common Factor Method

Greatest Common Factor of 6232,9834 By Matching Biggest Common Factor Method

Factors of 6232

List of positive integer factors of 6232 that divides 6232 without a remainder.

1,2,4,8,19,38,41,76,82,152,164,328,779,1558,3116,6232

Factors of 9834

List of positive integer factors of 9834 that divides 9834 without a remainder.

1,2,3,6,11,22,33,66,149,298,447,894,1639,3278,4917,9834

Greatest Common Factor

We found the factors 6232,9834 . The biggest common factor number is the GCF number.
So the greatest common factor 6232,9834 is 2.


Lets's calculate LCM of 677,269

Given numbers has no common factors except 1. So, there LCM is their product i.e 182113

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/182113

Therefore, the GCF of Fractions 6232/677,9834/269 is 2/182113

Least Common Multiple of 677,269 with GCF Formula

Least Common Multiple of 677,269 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 677,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,269) = 1

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

GCF(677,269) x common factors =1 x 1 = 1

LCM(677,269) = ( 677 × 269 ) / 1

LCM(677,269) = 182113 / 1

LCM(677,269) = 182113


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6232/677, 9834/269

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 6232/677, 9834/269?

Answer: GCF of Numerators as per given numbers 6232/677, 9834/269 is

GCF of Numerators i.e. for 6232,9834 is 2

LCM of denominators i.e. for 677,269 is 182113.

Thus, GCF of Fractions is 2/182113.Finally, GCF of Fractions for 6232/677, 9834/269 is 2/182113.