Greatest Common Factor of 2093/376, 7410/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2093/376, 7410/380

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 2093/376,7410/380

Given fractions are 2093/376,7410/380

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 2093,7410

Greatest Common Factor of Numerators i.e. GCF of 2093,7410 is 13 .

LCM of Denominators means LCM of 376,380 as per the given fractions.

LCM of 376,380 is 35720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2093,7410

GCF of Fractions 2093/376,7410/380 is 13/35720

13 2093, 7410
161, 570

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 2093,7410 By Matching Biggest Common Factor Method

Greatest Common Factor of 2093,7410 By Matching Biggest Common Factor Method

Factors of 2093

List of positive integer factors of 2093 that divides 2093 without a remainder.

1,7,13,23,91,161,299,2093

Factors of 7410

List of positive integer factors of 7410 that divides 7410 without a remainder.

1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410

Greatest Common Factor

We found the factors 2093,7410 . The biggest common factor number is the GCF number.
So the greatest common factor 2093,7410 is 13.

Lets's calculate LCM of 376,380

2 376, 380
2 188, 190
94, 95

∴ So the LCM of the given numbers is 2 x 2 x 94 x 95 = 35720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/35720

Therefore, the GCF of Fractions 2093/376,7410/380 is 13/35720

Least Common Multiple of 376,380 with GCF Formula

Least Common Multiple of 376,380 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 376,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,380) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(376,380) x common factors =4 x 1 = 4

LCM(376,380) = ( 376 × 380 ) / 4

LCM(376,380) = 142880 / 4

LCM(376,380) = 35720


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 2093/376, 7410/380

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 2093/376, 7410/380?

Answer: GCF of Numerators as per given numbers 2093/376, 7410/380 is

GCF of Numerators i.e. for 2093,7410 is 13

LCM of denominators i.e. for 376,380 is 35720.

Thus, GCF of Fractions is 13/35720.Finally, GCF of Fractions for 2093/376, 7410/380 is 13/35720.