Greatest Common Factor of 1/98, 35/51, 63/368, 613/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/98, 35/51, 63/368, 613/553

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 1/98,35/51,63/368,613/553

Given fractions are 1/98,35/51,63/368,613/553

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 1,35,63,613

Greatest Common Factor of Numerators i.e. GCF of 1,35,63,613 is 1 .

LCM of Denominators means LCM of 98,51,368,553 as per the given fractions.

LCM of 98,51,368,553 is 72650928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,35,63,613

GCF of Fractions 1/98,35/51,63/368,613/553 is 1/72650928

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1,35,63,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,35,63,613 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 1,35,63,613 . The biggest common factor number is the GCF number.
So the greatest common factor 1,35,63,613 is 1.

Lets's calculate LCM of 98,51,368,553

2 98, 51, 368, 553
7 49, 51, 184, 553
7, 51, 184, 79

∴ So the LCM of the given numbers is 2 x 7 x 7 x 51 x 184 x 79 = 72650928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72650928

Therefore, the GCF of Fractions 1/98,35/51,63/368,613/553 is 1/72650928

Least Common Multiple of 98,51,368,553 with GCF Formula

Least Common Multiple of 98,51,368,553 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 98,51,368,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,51,368,553) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(98,51,368,553) x common factors =1 x 14 = 14

LCM(98,51,368,553) = ( 98 × 51 × 368 × 553 ) / 14

LCM(98,51,368,553) = 1017112992 / 14

LCM(98,51,368,553) = 72650928


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 1/98, 35/51, 63/368, 613/553

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 1/98, 35/51, 63/368, 613/553?

Answer: GCF of Numerators as per given numbers 1/98, 35/51, 63/368, 613/553 is

GCF of Numerators i.e. for 1,35,63,613 is 1

LCM of denominators i.e. for 98,51,368,553 is 72650928.

Thus, GCF of Fractions is 1/72650928.Finally, GCF of Fractions for 1/98, 35/51, 63/368, 613/553 is 1/72650928.