Greatest Common Factor of 353/113, 713/361, 410/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 353/113, 713/361, 410/118

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 353/113,713/361,410/118

Given fractions are 353/113,713/361,410/118

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 353,713,410

Greatest Common Factor of Numerators i.e. GCF of 353,713,410 is 1 .

LCM of Denominators means LCM of 113,361,118 as per the given fractions.

LCM of 113,361,118 is 4813574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 353,713,410

GCF of Fractions 353/113,713/361,410/118 is 1/4813574

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

Greatest Common Factor of 353,713,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,713,410 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 353,713,410 . The biggest common factor number is the GCF number.
So the greatest common factor 353,713,410 is 1.

Lets's calculate LCM of 113,361,118

Given numbers has no common factors except 1. So, there LCM is their product i.e 4813574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4813574

Therefore, the GCF of Fractions 353/113,713/361,410/118 is 1/4813574

Least Common Multiple of 113,361,118 with GCF Formula

Least Common Multiple of 113,361,118 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 113,361,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,361,118) = 1

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

GCF(113,361,118) x common factors =1 x 1 = 1

LCM(113,361,118) = ( 113 × 361 × 118 ) / 1

LCM(113,361,118) = 4813574 / 1

LCM(113,361,118) = 4813574


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 353/113, 713/361, 410/118

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 353/113, 713/361, 410/118?

Answer: GCF of Numerators as per given numbers 353/113, 713/361, 410/118 is

GCF of Numerators i.e. for 353,713,410 is 1

LCM of denominators i.e. for 113,361,118 is 4813574.

Thus, GCF of Fractions is 1/4813574.Finally, GCF of Fractions for 353/113, 713/361, 410/118 is 1/4813574.