Greatest Common Factor of 3386/976, 5178/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3386/976, 5178/600

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 3386/976,5178/600

Given fractions are 3386/976,5178/600

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 3386,5178

Greatest Common Factor of Numerators i.e. GCF of 3386,5178 is 2 .

LCM of Denominators means LCM of 976,600 as per the given fractions.

LCM of 976,600 is 73200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3386,5178

GCF of Fractions 3386/976,5178/600 is 2/73200

2 3386, 5178
1693, 2589

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3386,5178 By Matching Biggest Common Factor Method

Greatest Common Factor of 3386,5178 By Matching Biggest Common Factor Method

Factors of 3386

List of positive integer factors of 3386 that divides 3386 without a remainder.

1,2,1693,3386

Factors of 5178

List of positive integer factors of 5178 that divides 5178 without a remainder.

1,2,3,6,863,1726,2589,5178

Greatest Common Factor

We found the factors 3386,5178 . The biggest common factor number is the GCF number.
So the greatest common factor 3386,5178 is 2.

Lets's calculate LCM of 976,600

2 976, 600
2 488, 300
2 244, 150
122, 75

∴ So the LCM of the given numbers is 2 x 2 x 2 x 122 x 75 = 73200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/73200

Therefore, the GCF of Fractions 3386/976,5178/600 is 2/73200

Least Common Multiple of 976,600 with GCF Formula

Least Common Multiple of 976,600 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 976,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,600) = 8

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

GCF(976,600) x common factors =8 x 1 = 8

LCM(976,600) = ( 976 × 600 ) / 8

LCM(976,600) = 585600 / 8

LCM(976,600) = 73200


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 3386/976, 5178/600

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 3386/976, 5178/600?

Answer: GCF of Numerators as per given numbers 3386/976, 5178/600 is

GCF of Numerators i.e. for 3386,5178 is 2

LCM of denominators i.e. for 976,600 is 73200.

Thus, GCF of Fractions is 2/73200.Finally, GCF of Fractions for 3386/976, 5178/600 is 2/73200.