Greatest Common Factor of 4955/40, 3260/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4955/40, 3260/917

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 4955/40,3260/917

Given fractions are 4955/40,3260/917

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 4955,3260

Greatest Common Factor of Numerators i.e. GCF of 4955,3260 is 5 .

LCM of Denominators means LCM of 40,917 as per the given fractions.

LCM of 40,917 is 36680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4955,3260

GCF of Fractions 4955/40,3260/917 is 5/36680

5 4955, 3260
991, 652

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4955,3260 By Matching Biggest Common Factor Method

Greatest Common Factor of 4955,3260 By Matching Biggest Common Factor Method

Factors of 4955

List of positive integer factors of 4955 that divides 4955 without a remainder.

1,5,991,4955

Factors of 3260

List of positive integer factors of 3260 that divides 3260 without a remainder.

1,2,4,5,10,20,163,326,652,815,1630,3260

Greatest Common Factor

We found the factors 4955,3260 . The biggest common factor number is the GCF number.
So the greatest common factor 4955,3260 is 5.

Lets's calculate LCM of 40,917

Given numbers has no common factors except 1. So, there LCM is their product i.e 36680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/36680

Therefore, the GCF of Fractions 4955/40,3260/917 is 5/36680

Least Common Multiple of 40,917 with GCF Formula

Least Common Multiple of 40,917 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 40,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,917) = 1

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

GCF(40,917) x common factors =1 x 1 = 1

LCM(40,917) = ( 40 × 917 ) / 1

LCM(40,917) = 36680 / 1

LCM(40,917) = 36680


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 4955/40, 3260/917

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 4955/40, 3260/917?

Answer: GCF of Numerators as per given numbers 4955/40, 3260/917 is

GCF of Numerators i.e. for 4955,3260 is 5

LCM of denominators i.e. for 40,917 is 36680.

Thus, GCF of Fractions is 5/36680.Finally, GCF of Fractions for 4955/40, 3260/917 is 5/36680.