Greatest Common Factor of 9884/490, 2692/6836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9884/490, 2692/6836

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 9884/490,2692/6836

Given fractions are 9884/490,2692/6836

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 9884,2692

Greatest Common Factor of Numerators i.e. GCF of 9884,2692 is 4 .

LCM of Denominators means LCM of 490,6836 as per the given fractions.

LCM of 490,6836 is 1674820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9884,2692

GCF of Fractions 9884/490,2692/6836 is 4/1674820

2 9884, 2692
2 4942, 1346
2471, 673

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9884,2692 By Matching Biggest Common Factor Method

Greatest Common Factor of 9884,2692 By Matching Biggest Common Factor Method

Factors of 9884

List of positive integer factors of 9884 that divides 9884 without a remainder.

1,2,4,7,14,28,353,706,1412,2471,4942,9884

Factors of 2692

List of positive integer factors of 2692 that divides 2692 without a remainder.

1,2,4,673,1346,2692

Greatest Common Factor

We found the factors 9884,2692 . The biggest common factor number is the GCF number.
So the greatest common factor 9884,2692 is 4.

Lets's calculate LCM of 490,6836

2 490, 6836
245, 3418

∴ So the LCM of the given numbers is 2 x 245 x 3418 = 1674820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1674820

Therefore, the GCF of Fractions 9884/490,2692/6836 is 4/1674820

Least Common Multiple of 490,6836 with GCF Formula

Least Common Multiple of 490,6836 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 490,6836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,6836) = 2

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

GCF(490,6836) x common factors =2 x 1 = 2

LCM(490,6836) = ( 490 × 6836 ) / 2

LCM(490,6836) = 3349640 / 2

LCM(490,6836) = 1674820


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 9884/490, 2692/6836

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 9884/490, 2692/6836?

Answer: GCF of Numerators as per given numbers 9884/490, 2692/6836 is

GCF of Numerators i.e. for 9884,2692 is 4

LCM of denominators i.e. for 490,6836 is 1674820.

Thus, GCF of Fractions is 4/1674820.Finally, GCF of Fractions for 9884/490, 2692/6836 is 4/1674820.