Greatest Common Factor of 98/735, 5145/6619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/735, 5145/6619

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 98/735,5145/6619

Given fractions are 98/735,5145/6619

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 98,5145

Greatest Common Factor of Numerators i.e. GCF of 98,5145 is 49 .

LCM of Denominators means LCM of 735,6619 as per the given fractions.

LCM of 735,6619 is 4864965 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,5145

GCF of Fractions 98/735,5145/6619 is 49/4864965

7 98, 5145
7 14, 735
2, 105

∴ So the GCF of the given numbers is 7 x 7 = 49

Greatest Common Factor of 98,5145 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,5145 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 5145

List of positive integer factors of 5145 that divides 5145 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,343,735,1029,1715,5145

Greatest Common Factor

We found the factors 98,5145 . The biggest common factor number is the GCF number.
So the greatest common factor 98,5145 is 49.

Lets's calculate LCM of 735,6619

Given numbers has no common factors except 1. So, there LCM is their product i.e 4864965

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/4864965

Therefore, the GCF of Fractions 98/735,5145/6619 is 49/4864965

Least Common Multiple of 735,6619 with GCF Formula

Least Common Multiple of 735,6619 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 735,6619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,6619) = 1

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

GCF(735,6619) x common factors =1 x 1 = 1

LCM(735,6619) = ( 735 × 6619 ) / 1

LCM(735,6619) = 4864965 / 1

LCM(735,6619) = 4864965


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 98/735, 5145/6619

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 98/735, 5145/6619?

Answer: GCF of Numerators as per given numbers 98/735, 5145/6619 is

GCF of Numerators i.e. for 98,5145 is 49

LCM of denominators i.e. for 735,6619 is 4864965.

Thus, GCF of Fractions is 49/4864965.Finally, GCF of Fractions for 98/735, 5145/6619 is 49/4864965.