Greatest Common Factor of 353/980, 8254/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 353/980, 8254/688

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 353/980,8254/688

Given fractions are 353/980,8254/688

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 353,8254

Greatest Common Factor of Numerators i.e. GCF of 353,8254 is 1 .

LCM of Denominators means LCM of 980,688 as per the given fractions.

LCM of 980,688 is 168560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 353,8254

GCF of Fractions 353/980,8254/688 is 1/168560

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

Greatest Common Factor of 353,8254 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,8254 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 8254

List of positive integer factors of 8254 that divides 8254 without a remainder.

1,2,4127,8254

Greatest Common Factor

We found the factors 353,8254 . The biggest common factor number is the GCF number.
So the greatest common factor 353,8254 is 1.

Lets's calculate LCM of 980,688

2 980, 688
2 490, 344
245, 172

∴ So the LCM of the given numbers is 2 x 2 x 245 x 172 = 168560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168560

Therefore, the GCF of Fractions 353/980,8254/688 is 1/168560

Least Common Multiple of 980,688 with GCF Formula

Least Common Multiple of 980,688 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 980,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,688) = 4

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

GCF(980,688) x common factors =4 x 1 = 4

LCM(980,688) = ( 980 × 688 ) / 4

LCM(980,688) = 674240 / 4

LCM(980,688) = 168560


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 353/980, 8254/688

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 353/980, 8254/688?

Answer: GCF of Numerators as per given numbers 353/980, 8254/688 is

GCF of Numerators i.e. for 353,8254 is 1

LCM of denominators i.e. for 980,688 is 168560.

Thus, GCF of Fractions is 1/168560.Finally, GCF of Fractions for 353/980, 8254/688 is 1/168560.