Greatest Common Factor of 5517/701, 2575/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5517/701, 2575/166

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 5517/701,2575/166

Given fractions are 5517/701,2575/166

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 5517,2575

Greatest Common Factor of Numerators i.e. GCF of 5517,2575 is 1 .

LCM of Denominators means LCM of 701,166 as per the given fractions.

LCM of 701,166 is 116366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5517,2575

GCF of Fractions 5517/701,2575/166 is 1/116366

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

Greatest Common Factor of 5517,2575 By Matching Biggest Common Factor Method

Greatest Common Factor of 5517,2575 By Matching Biggest Common Factor Method

Factors of 5517

List of positive integer factors of 5517 that divides 5517 without a remainder.

1,3,9,613,1839,5517

Factors of 2575

List of positive integer factors of 2575 that divides 2575 without a remainder.

1,5,25,103,515,2575

Greatest Common Factor

We found the factors 5517,2575 . The biggest common factor number is the GCF number.
So the greatest common factor 5517,2575 is 1.

Lets's calculate LCM of 701,166

Given numbers has no common factors except 1. So, there LCM is their product i.e 116366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116366

Therefore, the GCF of Fractions 5517/701,2575/166 is 1/116366

Least Common Multiple of 701,166 with GCF Formula

Least Common Multiple of 701,166 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 701,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,166) = 1

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

GCF(701,166) x common factors =1 x 1 = 1

LCM(701,166) = ( 701 × 166 ) / 1

LCM(701,166) = 116366 / 1

LCM(701,166) = 116366


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 5517/701, 2575/166

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 5517/701, 2575/166?

Answer: GCF of Numerators as per given numbers 5517/701, 2575/166 is

GCF of Numerators i.e. for 5517,2575 is 1

LCM of denominators i.e. for 701,166 is 116366.

Thus, GCF of Fractions is 1/116366.Finally, GCF of Fractions for 5517/701, 2575/166 is 1/116366.