Greatest Common Factor of 466/25, 697/59, 398/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 466/25, 697/59, 398/665

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 466/25,697/59,398/665

Given fractions are 466/25,697/59,398/665

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 466,697,398

Greatest Common Factor of Numerators i.e. GCF of 466,697,398 is 1 .

LCM of Denominators means LCM of 25,59,665 as per the given fractions.

LCM of 25,59,665 is 196175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 466,697,398

GCF of Fractions 466/25,697/59,398/665 is 1/196175

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

Greatest Common Factor of 466,697,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,697,398 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 466,697,398 . The biggest common factor number is the GCF number.
So the greatest common factor 466,697,398 is 1.

Lets's calculate LCM of 25,59,665

5 25, 59, 665
5, 59, 133

∴ So the LCM of the given numbers is 5 x 5 x 59 x 133 = 196175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196175

Therefore, the GCF of Fractions 466/25,697/59,398/665 is 1/196175

Least Common Multiple of 25,59,665 with GCF Formula

Least Common Multiple of 25,59,665 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 25,59,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,59,665) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,59,665) x common factors =1 x 5 = 5

LCM(25,59,665) = ( 25 × 59 × 665 ) / 5

LCM(25,59,665) = 980875 / 5

LCM(25,59,665) = 196175


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 466/25, 697/59, 398/665

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 466/25, 697/59, 398/665?

Answer: GCF of Numerators as per given numbers 466/25, 697/59, 398/665 is

GCF of Numerators i.e. for 466,697,398 is 1

LCM of denominators i.e. for 25,59,665 is 196175.

Thus, GCF of Fractions is 1/196175.Finally, GCF of Fractions for 466/25, 697/59, 398/665 is 1/196175.