Greatest Common Factor of 53/612, 33/336, 625/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 53/612, 33/336, 625/761

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 53/612,33/336,625/761

Given fractions are 53/612,33/336,625/761

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 53,33,625

Greatest Common Factor of Numerators i.e. GCF of 53,33,625 is 1 .

LCM of Denominators means LCM of 612,336,761 as per the given fractions.

LCM of 612,336,761 is 13040496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,33,625

GCF of Fractions 53/612,33/336,625/761 is 1/13040496

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

Greatest Common Factor of 53,33,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,33,625 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 53,33,625 . The biggest common factor number is the GCF number.
So the greatest common factor 53,33,625 is 1.


Lets's calculate LCM of 612,336,761

2 612, 336, 761
2 306, 168, 761
3 153, 84, 761
51, 28, 761

∴ So the LCM of the given numbers is 2 x 2 x 3 x 51 x 28 x 761 = 13040496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13040496

Therefore, the GCF of Fractions 53/612,33/336,625/761 is 1/13040496

Least Common Multiple of 612,336,761 with GCF Formula

Least Common Multiple of 612,336,761 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 612,336,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,336,761) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(612,336,761) x common factors =1 x 12 = 12

LCM(612,336,761) = ( 612 × 336 × 761 ) / 12

LCM(612,336,761) = 156485952 / 12

LCM(612,336,761) = 13040496


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 53/612, 33/336, 625/761

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 53/612, 33/336, 625/761?

Answer: GCF of Numerators as per given numbers 53/612, 33/336, 625/761 is

GCF of Numerators i.e. for 53,33,625 is 1

LCM of denominators i.e. for 612,336,761 is 13040496.

Thus, GCF of Fractions is 1/13040496.Finally, GCF of Fractions for 53/612, 33/336, 625/761 is 1/13040496.