Greatest Common Factor of 9892/84, 3610/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9892/84, 3610/214

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 9892/84,3610/214

Given fractions are 9892/84,3610/214

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 9892,3610

Greatest Common Factor of Numerators i.e. GCF of 9892,3610 is 2 .

LCM of Denominators means LCM of 84,214 as per the given fractions.

LCM of 84,214 is 8988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9892,3610

GCF of Fractions 9892/84,3610/214 is 2/8988

2 9892, 3610
4946, 1805

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

Greatest Common Factor of 9892,3610 By Matching Biggest Common Factor Method

Greatest Common Factor of 9892,3610 By Matching Biggest Common Factor Method

Factors of 9892

List of positive integer factors of 9892 that divides 9892 without a remainder.

1,2,4,2473,4946,9892

Factors of 3610

List of positive integer factors of 3610 that divides 3610 without a remainder.

1,2,5,10,19,38,95,190,361,722,1805,3610

Greatest Common Factor

We found the factors 9892,3610 . The biggest common factor number is the GCF number.
So the greatest common factor 9892,3610 is 2.

Lets's calculate LCM of 84,214

2 84, 214
42, 107

∴ So the LCM of the given numbers is 2 x 42 x 107 = 8988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8988

Therefore, the GCF of Fractions 9892/84,3610/214 is 2/8988

Least Common Multiple of 84,214 with GCF Formula

Least Common Multiple of 84,214 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 84,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,214) = 2

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

GCF(84,214) x common factors =2 x 1 = 2

LCM(84,214) = ( 84 × 214 ) / 2

LCM(84,214) = 17976 / 2

LCM(84,214) = 8988


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 9892/84, 3610/214

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 9892/84, 3610/214?

Answer: GCF of Numerators as per given numbers 9892/84, 3610/214 is

GCF of Numerators i.e. for 9892,3610 is 2

LCM of denominators i.e. for 84,214 is 8988.

Thus, GCF of Fractions is 2/8988.Finally, GCF of Fractions for 9892/84, 3610/214 is 2/8988.