Greatest Common Factor of 3517/305, 5570/8330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3517/305, 5570/8330

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 3517/305,5570/8330

Given fractions are 3517/305,5570/8330

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 3517,5570

Greatest Common Factor of Numerators i.e. GCF of 3517,5570 is 1 .

LCM of Denominators means LCM of 305,8330 as per the given fractions.

LCM of 305,8330 is 508130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3517,5570

GCF of Fractions 3517/305,5570/8330 is 1/508130

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

Greatest Common Factor of 3517,5570 By Matching Biggest Common Factor Method

Greatest Common Factor of 3517,5570 By Matching Biggest Common Factor Method

Factors of 3517

List of positive integer factors of 3517 that divides 3517 without a remainder.

1,3517

Factors of 5570

List of positive integer factors of 5570 that divides 5570 without a remainder.

1,2,5,10,557,1114,2785,5570

Greatest Common Factor

We found the factors 3517,5570 . The biggest common factor number is the GCF number.
So the greatest common factor 3517,5570 is 1.

Lets's calculate LCM of 305,8330

5 305, 8330
61, 1666

∴ So the LCM of the given numbers is 5 x 61 x 1666 = 508130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/508130

Therefore, the GCF of Fractions 3517/305,5570/8330 is 1/508130

Least Common Multiple of 305,8330 with GCF Formula

Least Common Multiple of 305,8330 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 305,8330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,8330) = 5

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

GCF(305,8330) x common factors =5 x 1 = 5

LCM(305,8330) = ( 305 × 8330 ) / 5

LCM(305,8330) = 2540650 / 5

LCM(305,8330) = 508130


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 3517/305, 5570/8330

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 3517/305, 5570/8330?

Answer: GCF of Numerators as per given numbers 3517/305, 5570/8330 is

GCF of Numerators i.e. for 3517,5570 is 1

LCM of denominators i.e. for 305,8330 is 508130.

Thus, GCF of Fractions is 1/508130.Finally, GCF of Fractions for 3517/305, 5570/8330 is 1/508130.