Greatest Common Factor of 35/538, 88/497, 498/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/538, 88/497, 498/547

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 35/538,88/497,498/547

Given fractions are 35/538,88/497,498/547

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 35,88,498

Greatest Common Factor of Numerators i.e. GCF of 35,88,498 is 1 .

LCM of Denominators means LCM of 538,497,547 as per the given fractions.

LCM of 538,497,547 is 146260142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,88,498

GCF of Fractions 35/538,88/497,498/547 is 1/146260142

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

Greatest Common Factor of 35,88,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,88,498 By Matching Biggest Common Factor Method

Factors of 35

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

1,5,7,35

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 35,88,498 . The biggest common factor number is the GCF number.
So the greatest common factor 35,88,498 is 1.

Lets's calculate LCM of 538,497,547

Given numbers has no common factors except 1. So, there LCM is their product i.e 146260142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146260142

Therefore, the GCF of Fractions 35/538,88/497,498/547 is 1/146260142

Least Common Multiple of 538,497,547 with GCF Formula

Least Common Multiple of 538,497,547 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 538,497,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,497,547) = 1

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

GCF(538,497,547) x common factors =1 x 1 = 1

LCM(538,497,547) = ( 538 × 497 × 547 ) / 1

LCM(538,497,547) = 146260142 / 1

LCM(538,497,547) = 146260142


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 35/538, 88/497, 498/547

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 35/538, 88/497, 498/547?

Answer: GCF of Numerators as per given numbers 35/538, 88/497, 498/547 is

GCF of Numerators i.e. for 35,88,498 is 1

LCM of denominators i.e. for 538,497,547 is 146260142.

Thus, GCF of Fractions is 1/146260142.Finally, GCF of Fractions for 35/538, 88/497, 498/547 is 1/146260142.