Greatest Common Factor of 3417/55, 7917/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3417/55, 7917/639

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 3417/55,7917/639

Given fractions are 3417/55,7917/639

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 3417,7917

Greatest Common Factor of Numerators i.e. GCF of 3417,7917 is 3 .

LCM of Denominators means LCM of 55,639 as per the given fractions.

LCM of 55,639 is 35145 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3417,7917

GCF of Fractions 3417/55,7917/639 is 3/35145

3 3417, 7917
1139, 2639

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3417,7917 By Matching Biggest Common Factor Method

Greatest Common Factor of 3417,7917 By Matching Biggest Common Factor Method

Factors of 3417

List of positive integer factors of 3417 that divides 3417 without a remainder.

1,3,17,51,67,201,1139,3417

Factors of 7917

List of positive integer factors of 7917 that divides 7917 without a remainder.

1,3,7,13,21,29,39,87,91,203,273,377,609,1131,2639,7917

Greatest Common Factor

We found the factors 3417,7917 . The biggest common factor number is the GCF number.
So the greatest common factor 3417,7917 is 3.

Lets's calculate LCM of 55,639

Given numbers has no common factors except 1. So, there LCM is their product i.e 35145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/35145

Therefore, the GCF of Fractions 3417/55,7917/639 is 3/35145

Least Common Multiple of 55,639 with GCF Formula

Least Common Multiple of 55,639 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 55,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,639) = 1

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

GCF(55,639) x common factors =1 x 1 = 1

LCM(55,639) = ( 55 × 639 ) / 1

LCM(55,639) = 35145 / 1

LCM(55,639) = 35145


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 3417/55, 7917/639

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 3417/55, 7917/639?

Answer: GCF of Numerators as per given numbers 3417/55, 7917/639 is

GCF of Numerators i.e. for 3417,7917 is 3

LCM of denominators i.e. for 55,639 is 35145.

Thus, GCF of Fractions is 3/35145.Finally, GCF of Fractions for 3417/55, 7917/639 is 3/35145.