Greatest Common Factor of 166/5276, 980/4986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 166/5276, 980/4986

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 166/5276,980/4986

Given fractions are 166/5276,980/4986

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 166,980

Greatest Common Factor of Numerators i.e. GCF of 166,980 is 2 .

LCM of Denominators means LCM of 5276,4986 as per the given fractions.

LCM of 5276,4986 is 13153068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 166,980

GCF of Fractions 166/5276,980/4986 is 2/13153068

2 166, 980
83, 490

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

Greatest Common Factor of 166,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,980 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 166,980 . The biggest common factor number is the GCF number.
So the greatest common factor 166,980 is 2.

Lets's calculate LCM of 5276,4986

2 5276, 4986
2638, 2493

∴ So the LCM of the given numbers is 2 x 2638 x 2493 = 13153068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13153068

Therefore, the GCF of Fractions 166/5276,980/4986 is 2/13153068

Least Common Multiple of 5276,4986 with GCF Formula

Least Common Multiple of 5276,4986 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 5276,4986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5276,4986) = 2

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

GCF(5276,4986) x common factors =2 x 1 = 2

LCM(5276,4986) = ( 5276 × 4986 ) / 2

LCM(5276,4986) = 26306136 / 2

LCM(5276,4986) = 13153068


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 166/5276, 980/4986

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 166/5276, 980/4986?

Answer: GCF of Numerators as per given numbers 166/5276, 980/4986 is

GCF of Numerators i.e. for 166,980 is 2

LCM of denominators i.e. for 5276,4986 is 13153068.

Thus, GCF of Fractions is 2/13153068.Finally, GCF of Fractions for 166/5276, 980/4986 is 2/13153068.