Greatest Common Factor of 2354/80, 5066/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2354/80, 5066/828

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 2354/80,5066/828

Given fractions are 2354/80,5066/828

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 2354,5066

Greatest Common Factor of Numerators i.e. GCF of 2354,5066 is 2 .

LCM of Denominators means LCM of 80,828 as per the given fractions.

LCM of 80,828 is 16560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2354,5066

GCF of Fractions 2354/80,5066/828 is 2/16560

2 2354, 5066
1177, 2533

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

Greatest Common Factor of 2354,5066 By Matching Biggest Common Factor Method

Greatest Common Factor of 2354,5066 By Matching Biggest Common Factor Method

Factors of 2354

List of positive integer factors of 2354 that divides 2354 without a remainder.

1,2,11,22,107,214,1177,2354

Factors of 5066

List of positive integer factors of 5066 that divides 5066 without a remainder.

1,2,17,34,149,298,2533,5066

Greatest Common Factor

We found the factors 2354,5066 . The biggest common factor number is the GCF number.
So the greatest common factor 2354,5066 is 2.

Lets's calculate LCM of 80,828

2 80, 828
2 40, 414
20, 207

∴ So the LCM of the given numbers is 2 x 2 x 20 x 207 = 16560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16560

Therefore, the GCF of Fractions 2354/80,5066/828 is 2/16560

Least Common Multiple of 80,828 with GCF Formula

Least Common Multiple of 80,828 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 80,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,828) = 4

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

GCF(80,828) x common factors =4 x 1 = 4

LCM(80,828) = ( 80 × 828 ) / 4

LCM(80,828) = 66240 / 4

LCM(80,828) = 16560


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 2354/80, 5066/828

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 2354/80, 5066/828?

Answer: GCF of Numerators as per given numbers 2354/80, 5066/828 is

GCF of Numerators i.e. for 2354,5066 is 2

LCM of denominators i.e. for 80,828 is 16560.

Thus, GCF of Fractions is 2/16560.Finally, GCF of Fractions for 2354/80, 5066/828 is 2/16560.