Greatest Common Factor of 625/97, 875/65, 398/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 625/97, 875/65, 398/145

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 625/97,875/65,398/145

Given fractions are 625/97,875/65,398/145

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 625,875,398

Greatest Common Factor of Numerators i.e. GCF of 625,875,398 is 1 .

LCM of Denominators means LCM of 97,65,145 as per the given fractions.

LCM of 97,65,145 is 182845 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 625,875,398

GCF of Fractions 625/97,875/65,398/145 is 1/182845

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

Greatest Common Factor of 625,875,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,875,398 By Matching Biggest Common Factor Method

Factors of 625

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

1,5,25,125,625

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

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 625,875,398 . The biggest common factor number is the GCF number.
So the greatest common factor 625,875,398 is 1.

Lets's calculate LCM of 97,65,145

5 97, 65, 145
97, 13, 29

∴ So the LCM of the given numbers is 5 x 97 x 13 x 29 = 182845

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182845

Therefore, the GCF of Fractions 625/97,875/65,398/145 is 1/182845

Least Common Multiple of 97,65,145 with GCF Formula

Least Common Multiple of 97,65,145 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 97,65,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,65,145) = 1

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

GCF(97,65,145) x common factors =1 x 5 = 5

LCM(97,65,145) = ( 97 × 65 × 145 ) / 5

LCM(97,65,145) = 914225 / 5

LCM(97,65,145) = 182845


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 625/97, 875/65, 398/145

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 625/97, 875/65, 398/145?

Answer: GCF of Numerators as per given numbers 625/97, 875/65, 398/145 is

GCF of Numerators i.e. for 625,875,398 is 1

LCM of denominators i.e. for 97,65,145 is 182845.

Thus, GCF of Fractions is 1/182845.Finally, GCF of Fractions for 625/97, 875/65, 398/145 is 1/182845.