Greatest Common Factor of 773/917, 1481/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 773/917, 1481/509

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 773/917,1481/509

Given fractions are 773/917,1481/509

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 773,1481

Greatest Common Factor of Numerators i.e. GCF of 773,1481 is 1 .

LCM of Denominators means LCM of 917,509 as per the given fractions.

LCM of 917,509 is 466753 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 773,1481

GCF of Fractions 773/917,1481/509 is 1/466753

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

Greatest Common Factor of 773,1481 By Matching Biggest Common Factor Method

Greatest Common Factor of 773,1481 By Matching Biggest Common Factor Method

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 1481

List of positive integer factors of 1481 that divides 1481 without a remainder.

1,1481

Greatest Common Factor

We found the factors 773,1481 . The biggest common factor number is the GCF number.
So the greatest common factor 773,1481 is 1.

Lets's calculate LCM of 917,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 466753

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/466753

Therefore, the GCF of Fractions 773/917,1481/509 is 1/466753

Least Common Multiple of 917,509 with GCF Formula

Least Common Multiple of 917,509 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 917,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(917,509) = 1

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

GCF(917,509) x common factors =1 x 1 = 1

LCM(917,509) = ( 917 × 509 ) / 1

LCM(917,509) = 466753 / 1

LCM(917,509) = 466753


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 773/917, 1481/509

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 773/917, 1481/509?

Answer: GCF of Numerators as per given numbers 773/917, 1481/509 is

GCF of Numerators i.e. for 773,1481 is 1

LCM of denominators i.e. for 917,509 is 466753.

Thus, GCF of Fractions is 1/466753.Finally, GCF of Fractions for 773/917, 1481/509 is 1/466753.