Greatest Common Factor of 25/53, 44/996, 169/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 25/53, 44/996, 169/322

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 25/53,44/996,169/322

Given fractions are 25/53,44/996,169/322

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 25,44,169

Greatest Common Factor of Numerators i.e. GCF of 25,44,169 is 1 .

LCM of Denominators means LCM of 53,996,322 as per the given fractions.

LCM of 53,996,322 is 8498868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,44,169

GCF of Fractions 25/53,44/996,169/322 is 1/8498868

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

Greatest Common Factor of 25,44,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,44,169 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 25,44,169 . The biggest common factor number is the GCF number.
So the greatest common factor 25,44,169 is 1.


Lets's calculate LCM of 53,996,322

2 53, 996, 322
53, 498, 161

∴ So the LCM of the given numbers is 2 x 53 x 498 x 161 = 8498868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8498868

Therefore, the GCF of Fractions 25/53,44/996,169/322 is 1/8498868

Least Common Multiple of 53,996,322 with GCF Formula

Least Common Multiple of 53,996,322 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 53,996,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,996,322) = 1

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

GCF(53,996,322) x common factors =1 x 2 = 2

LCM(53,996,322) = ( 53 × 996 × 322 ) / 2

LCM(53,996,322) = 16997736 / 2

LCM(53,996,322) = 8498868


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 25/53, 44/996, 169/322

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 25/53, 44/996, 169/322?

Answer: GCF of Numerators as per given numbers 25/53, 44/996, 169/322 is

GCF of Numerators i.e. for 25,44,169 is 1

LCM of denominators i.e. for 53,996,322 is 8498868.

Thus, GCF of Fractions is 1/8498868.Finally, GCF of Fractions for 25/53, 44/996, 169/322 is 1/8498868.