Greatest Common Factor of 72/263, 70/248, 696/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/263, 70/248, 696/751

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 72/263,70/248,696/751

Given fractions are 72/263,70/248,696/751

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 72,70,696

Greatest Common Factor of Numerators i.e. GCF of 72,70,696 is 2 .

LCM of Denominators means LCM of 263,248,751 as per the given fractions.

LCM of 263,248,751 is 48983224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,70,696

GCF of Fractions 72/263,70/248,696/751 is 2/48983224

2 72, 70, 696
36, 35, 348

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 72,70,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,70,696 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 72,70,696 . The biggest common factor number is the GCF number.
So the greatest common factor 72,70,696 is 2.

Lets's calculate LCM of 263,248,751

Given numbers has no common factors except 1. So, there LCM is their product i.e 48983224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48983224

Therefore, the GCF of Fractions 72/263,70/248,696/751 is 2/48983224

Least Common Multiple of 263,248,751 with GCF Formula

Least Common Multiple of 263,248,751 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 263,248,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,248,751) = 1

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

GCF(263,248,751) x common factors =1 x 1 = 1

LCM(263,248,751) = ( 263 × 248 × 751 ) / 1

LCM(263,248,751) = 48983224 / 1

LCM(263,248,751) = 48983224


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 72/263, 70/248, 696/751

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 72/263, 70/248, 696/751?

Answer: GCF of Numerators as per given numbers 72/263, 70/248, 696/751 is

GCF of Numerators i.e. for 72,70,696 is 2

LCM of denominators i.e. for 263,248,751 is 48983224.

Thus, GCF of Fractions is 2/48983224.Finally, GCF of Fractions for 72/263, 70/248, 696/751 is 2/48983224.