Greatest Common Factor of 7/27, 18/78, 40/490, 380/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/27, 18/78, 40/490, 380/377

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 7/27,18/78,40/490,380/377

Given fractions are 7/27,18/78,40/490,380/377

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 7,18,40,380

Greatest Common Factor of Numerators i.e. GCF of 7,18,40,380 is 1 .

LCM of Denominators means LCM of 27,78,490,377 as per the given fractions.

LCM of 27,78,490,377 is 4987710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,18,40,380

GCF of Fractions 7/27,18/78,40/490,380/377 is 1/4987710

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

Greatest Common Factor of 7,18,40,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,18,40,380 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 7,18,40,380 . The biggest common factor number is the GCF number.
So the greatest common factor 7,18,40,380 is 1.

Lets's calculate LCM of 27,78,490,377

2 27, 78, 490, 377
3 27, 39, 245, 377
13 9, 13, 245, 377
9, 1, 245, 29

∴ So the LCM of the given numbers is 2 x 3 x 13 x 9 x 1 x 245 x 29 = 4987710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4987710

Therefore, the GCF of Fractions 7/27,18/78,40/490,380/377 is 1/4987710

Least Common Multiple of 27,78,490,377 with GCF Formula

Least Common Multiple of 27,78,490,377 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 27,78,490,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,78,490,377) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(27,78,490,377) x common factors =1 x 78 = 78

LCM(27,78,490,377) = ( 27 × 78 × 490 × 377 ) / 78

LCM(27,78,490,377) = 389041380 / 78

LCM(27,78,490,377) = 4987710


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 7/27, 18/78, 40/490, 380/377

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 7/27, 18/78, 40/490, 380/377?

Answer: GCF of Numerators as per given numbers 7/27, 18/78, 40/490, 380/377 is

GCF of Numerators i.e. for 7,18,40,380 is 1

LCM of denominators i.e. for 27,78,490,377 is 4987710.

Thus, GCF of Fractions is 1/4987710.Finally, GCF of Fractions for 7/27, 18/78, 40/490, 380/377 is 1/4987710.