Greatest Common Factor of 9898/356, 7868/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9898/356, 7868/414

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 9898/356,7868/414

Given fractions are 9898/356,7868/414

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 9898,7868

Greatest Common Factor of Numerators i.e. GCF of 9898,7868 is 14 .

LCM of Denominators means LCM of 356,414 as per the given fractions.

LCM of 356,414 is 73692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9898,7868

GCF of Fractions 9898/356,7868/414 is 14/73692

2 9898, 7868
7 4949, 3934
707, 562

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 9898,7868 By Matching Biggest Common Factor Method

Greatest Common Factor of 9898,7868 By Matching Biggest Common Factor Method

Factors of 9898

List of positive integer factors of 9898 that divides 9898 without a remainder.

1,2,7,14,49,98,101,202,707,1414,4949,9898

Factors of 7868

List of positive integer factors of 7868 that divides 7868 without a remainder.

1,2,4,7,14,28,281,562,1124,1967,3934,7868

Greatest Common Factor

We found the factors 9898,7868 . The biggest common factor number is the GCF number.
So the greatest common factor 9898,7868 is 14.

Lets's calculate LCM of 356,414

2 356, 414
178, 207

∴ So the LCM of the given numbers is 2 x 178 x 207 = 73692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/73692

Therefore, the GCF of Fractions 9898/356,7868/414 is 14/73692

Least Common Multiple of 356,414 with GCF Formula

Least Common Multiple of 356,414 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 356,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,414) = 2

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

GCF(356,414) x common factors =2 x 1 = 2

LCM(356,414) = ( 356 × 414 ) / 2

LCM(356,414) = 147384 / 2

LCM(356,414) = 73692


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 9898/356, 7868/414

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 9898/356, 7868/414?

Answer: GCF of Numerators as per given numbers 9898/356, 7868/414 is

GCF of Numerators i.e. for 9898,7868 is 14

LCM of denominators i.e. for 356,414 is 73692.

Thus, GCF of Fractions is 14/73692.Finally, GCF of Fractions for 9898/356, 7868/414 is 14/73692.