Greatest Common Factor of 57/25, 911/98, 825/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 57/25, 911/98, 825/366

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 57/25,911/98,825/366

Given fractions are 57/25,911/98,825/366

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 57,911,825

Greatest Common Factor of Numerators i.e. GCF of 57,911,825 is 1 .

LCM of Denominators means LCM of 25,98,366 as per the given fractions.

LCM of 25,98,366 is 448350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 57,911,825

GCF of Fractions 57/25,911/98,825/366 is 1/448350

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

Greatest Common Factor of 57,911,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,911,825 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 57,911,825 . The biggest common factor number is the GCF number.
So the greatest common factor 57,911,825 is 1.

Lets's calculate LCM of 25,98,366

2 25, 98, 366
25, 49, 183

∴ So the LCM of the given numbers is 2 x 25 x 49 x 183 = 448350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/448350

Therefore, the GCF of Fractions 57/25,911/98,825/366 is 1/448350

Least Common Multiple of 25,98,366 with GCF Formula

Least Common Multiple of 25,98,366 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 25,98,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,98,366) = 1

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

GCF(25,98,366) x common factors =1 x 2 = 2

LCM(25,98,366) = ( 25 × 98 × 366 ) / 2

LCM(25,98,366) = 896700 / 2

LCM(25,98,366) = 448350


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 57/25, 911/98, 825/366

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 57/25, 911/98, 825/366?

Answer: GCF of Numerators as per given numbers 57/25, 911/98, 825/366 is

GCF of Numerators i.e. for 57,911,825 is 1

LCM of denominators i.e. for 25,98,366 is 448350.

Thus, GCF of Fractions is 1/448350.Finally, GCF of Fractions for 57/25, 911/98, 825/366 is 1/448350.