Greatest Common Factor of 3910/255, 1707/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3910/255, 1707/735

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 3910/255,1707/735

Given fractions are 3910/255,1707/735

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 3910,1707

Greatest Common Factor of Numerators i.e. GCF of 3910,1707 is 1 .

LCM of Denominators means LCM of 255,735 as per the given fractions.

LCM of 255,735 is 12495 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3910,1707

GCF of Fractions 3910/255,1707/735 is 1/12495

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

Greatest Common Factor of 3910,1707 By Matching Biggest Common Factor Method

Greatest Common Factor of 3910,1707 By Matching Biggest Common Factor Method

Factors of 3910

List of positive integer factors of 3910 that divides 3910 without a remainder.

1,2,5,10,17,23,34,46,85,115,170,230,391,782,1955,3910

Factors of 1707

List of positive integer factors of 1707 that divides 1707 without a remainder.

1,3,569,1707

Greatest Common Factor

We found the factors 3910,1707 . The biggest common factor number is the GCF number.
So the greatest common factor 3910,1707 is 1.

Lets's calculate LCM of 255,735

3 255, 735
5 85, 245
17, 49

∴ So the LCM of the given numbers is 3 x 5 x 17 x 49 = 12495

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12495

Therefore, the GCF of Fractions 3910/255,1707/735 is 1/12495

Least Common Multiple of 255,735 with GCF Formula

Least Common Multiple of 255,735 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 255,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,735) = 15

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

GCF(255,735) x common factors =15 x 1 = 15

LCM(255,735) = ( 255 × 735 ) / 15

LCM(255,735) = 187425 / 15

LCM(255,735) = 12495


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 3910/255, 1707/735

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 3910/255, 1707/735?

Answer: GCF of Numerators as per given numbers 3910/255, 1707/735 is

GCF of Numerators i.e. for 3910,1707 is 1

LCM of denominators i.e. for 255,735 is 12495.

Thus, GCF of Fractions is 1/12495.Finally, GCF of Fractions for 3910/255, 1707/735 is 1/12495.