Greatest Common Factor of 10/83, 78/680, 375/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/83, 78/680, 375/645

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 10/83,78/680,375/645

Given fractions are 10/83,78/680,375/645

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 10,78,375

Greatest Common Factor of Numerators i.e. GCF of 10,78,375 is 1 .

LCM of Denominators means LCM of 83,680,645 as per the given fractions.

LCM of 83,680,645 is 7280760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,78,375

GCF of Fractions 10/83,78/680,375/645 is 1/7280760

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

Greatest Common Factor of 10,78,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,78,375 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 10,78,375 . The biggest common factor number is the GCF number.
So the greatest common factor 10,78,375 is 1.

Lets's calculate LCM of 83,680,645

5 83, 680, 645
83, 136, 129

∴ So the LCM of the given numbers is 5 x 83 x 136 x 129 = 7280760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7280760

Therefore, the GCF of Fractions 10/83,78/680,375/645 is 1/7280760

Least Common Multiple of 83,680,645 with GCF Formula

Least Common Multiple of 83,680,645 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 83,680,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,680,645) = 1

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

GCF(83,680,645) x common factors =1 x 5 = 5

LCM(83,680,645) = ( 83 × 680 × 645 ) / 5

LCM(83,680,645) = 36403800 / 5

LCM(83,680,645) = 7280760


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 10/83, 78/680, 375/645

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 10/83, 78/680, 375/645?

Answer: GCF of Numerators as per given numbers 10/83, 78/680, 375/645 is

GCF of Numerators i.e. for 10,78,375 is 1

LCM of denominators i.e. for 83,680,645 is 7280760.

Thus, GCF of Fractions is 1/7280760.Finally, GCF of Fractions for 10/83, 78/680, 375/645 is 1/7280760.