Greatest Common Factor of 5695/79, 3553/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5695/79, 3553/238

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 5695/79,3553/238

Given fractions are 5695/79,3553/238

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 5695,3553

Greatest Common Factor of Numerators i.e. GCF of 5695,3553 is 17 .

LCM of Denominators means LCM of 79,238 as per the given fractions.

LCM of 79,238 is 18802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5695,3553

GCF of Fractions 5695/79,3553/238 is 17/18802

17 5695, 3553
335, 209

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 5695,3553 By Matching Biggest Common Factor Method

Greatest Common Factor of 5695,3553 By Matching Biggest Common Factor Method

Factors of 5695

List of positive integer factors of 5695 that divides 5695 without a remainder.

1,5,17,67,85,335,1139,5695

Factors of 3553

List of positive integer factors of 3553 that divides 3553 without a remainder.

1,11,17,19,187,209,323,3553

Greatest Common Factor

We found the factors 5695,3553 . The biggest common factor number is the GCF number.
So the greatest common factor 5695,3553 is 17.

Lets's calculate LCM of 79,238

Given numbers has no common factors except 1. So, there LCM is their product i.e 18802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/18802

Therefore, the GCF of Fractions 5695/79,3553/238 is 17/18802

Least Common Multiple of 79,238 with GCF Formula

Least Common Multiple of 79,238 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 79,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,238) = 1

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

GCF(79,238) x common factors =1 x 1 = 1

LCM(79,238) = ( 79 × 238 ) / 1

LCM(79,238) = 18802 / 1

LCM(79,238) = 18802


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 5695/79, 3553/238

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 5695/79, 3553/238?

Answer: GCF of Numerators as per given numbers 5695/79, 3553/238 is

GCF of Numerators i.e. for 5695,3553 is 17

LCM of denominators i.e. for 79,238 is 18802.

Thus, GCF of Fractions is 17/18802.Finally, GCF of Fractions for 5695/79, 3553/238 is 17/18802.