Greatest Common Factor of 115/698, 1457/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 115/698, 1457/480

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 115/698,1457/480

Given fractions are 115/698,1457/480

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 115,1457

Greatest Common Factor of Numerators i.e. GCF of 115,1457 is 1 .

LCM of Denominators means LCM of 698,480 as per the given fractions.

LCM of 698,480 is 167520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 115,1457

GCF of Fractions 115/698,1457/480 is 1/167520

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

Greatest Common Factor of 115,1457 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,1457 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 1457

List of positive integer factors of 1457 that divides 1457 without a remainder.

1,31,47,1457

Greatest Common Factor

We found the factors 115,1457 . The biggest common factor number is the GCF number.
So the greatest common factor 115,1457 is 1.

Lets's calculate LCM of 698,480

2 698, 480
349, 240

∴ So the LCM of the given numbers is 2 x 349 x 240 = 167520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167520

Therefore, the GCF of Fractions 115/698,1457/480 is 1/167520

Least Common Multiple of 698,480 with GCF Formula

Least Common Multiple of 698,480 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 698,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,480) = 2

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

GCF(698,480) x common factors =2 x 1 = 2

LCM(698,480) = ( 698 × 480 ) / 2

LCM(698,480) = 335040 / 2

LCM(698,480) = 167520


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 115/698, 1457/480

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 115/698, 1457/480?

Answer: GCF of Numerators as per given numbers 115/698, 1457/480 is

GCF of Numerators i.e. for 115,1457 is 1

LCM of denominators i.e. for 698,480 is 167520.

Thus, GCF of Fractions is 1/167520.Finally, GCF of Fractions for 115/698, 1457/480 is 1/167520.