Greatest Common Factor of 3255/755, 2708/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3255/755, 2708/797

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 3255/755,2708/797

Given fractions are 3255/755,2708/797

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 3255,2708

Greatest Common Factor of Numerators i.e. GCF of 3255,2708 is 1 .

LCM of Denominators means LCM of 755,797 as per the given fractions.

LCM of 755,797 is 601735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3255,2708

GCF of Fractions 3255/755,2708/797 is 1/601735

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

Greatest Common Factor of 3255,2708 By Matching Biggest Common Factor Method

Greatest Common Factor of 3255,2708 By Matching Biggest Common Factor Method

Factors of 3255

List of positive integer factors of 3255 that divides 3255 without a remainder.

1,3,5,7,15,21,31,35,93,105,155,217,465,651,1085,3255

Factors of 2708

List of positive integer factors of 2708 that divides 2708 without a remainder.

1,2,4,677,1354,2708

Greatest Common Factor

We found the factors 3255,2708 . The biggest common factor number is the GCF number.
So the greatest common factor 3255,2708 is 1.

Lets's calculate LCM of 755,797

Given numbers has no common factors except 1. So, there LCM is their product i.e 601735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/601735

Therefore, the GCF of Fractions 3255/755,2708/797 is 1/601735

Least Common Multiple of 755,797 with GCF Formula

Least Common Multiple of 755,797 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 755,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,797) = 1

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

GCF(755,797) x common factors =1 x 1 = 1

LCM(755,797) = ( 755 × 797 ) / 1

LCM(755,797) = 601735 / 1

LCM(755,797) = 601735


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 3255/755, 2708/797

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 3255/755, 2708/797?

Answer: GCF of Numerators as per given numbers 3255/755, 2708/797 is

GCF of Numerators i.e. for 3255,2708 is 1

LCM of denominators i.e. for 755,797 is 601735.

Thus, GCF of Fractions is 1/601735.Finally, GCF of Fractions for 3255/755, 2708/797 is 1/601735.