Greatest Common Factor of 208/91, 252/19, 185/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/91, 252/19, 185/711

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 208/91,252/19,185/711

Given fractions are 208/91,252/19,185/711

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 208,252,185

Greatest Common Factor of Numerators i.e. GCF of 208,252,185 is 1 .

LCM of Denominators means LCM of 91,19,711 as per the given fractions.

LCM of 91,19,711 is 1229319 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,252,185

GCF of Fractions 208/91,252/19,185/711 is 1/1229319

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

Greatest Common Factor of 208,252,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,252,185 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 208,252,185 . The biggest common factor number is the GCF number.
So the greatest common factor 208,252,185 is 1.

Lets's calculate LCM of 91,19,711

Given numbers has no common factors except 1. So, there LCM is their product i.e 1229319

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1229319

Therefore, the GCF of Fractions 208/91,252/19,185/711 is 1/1229319

Least Common Multiple of 91,19,711 with GCF Formula

Least Common Multiple of 91,19,711 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 91,19,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,19,711) = 1

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

GCF(91,19,711) x common factors =1 x 1 = 1

LCM(91,19,711) = ( 91 × 19 × 711 ) / 1

LCM(91,19,711) = 1229319 / 1

LCM(91,19,711) = 1229319


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 208/91, 252/19, 185/711

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 208/91, 252/19, 185/711?

Answer: GCF of Numerators as per given numbers 208/91, 252/19, 185/711 is

GCF of Numerators i.e. for 208,252,185 is 1

LCM of denominators i.e. for 91,19,711 is 1229319.

Thus, GCF of Fractions is 1/1229319.Finally, GCF of Fractions for 208/91, 252/19, 185/711 is 1/1229319.