Greatest Common Factor of 707/32, 112/11, 679/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 707/32, 112/11, 679/629

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 707/32,112/11,679/629

Given fractions are 707/32,112/11,679/629

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 707,112,679

Greatest Common Factor of Numerators i.e. GCF of 707,112,679 is 7 .

LCM of Denominators means LCM of 32,11,629 as per the given fractions.

LCM of 32,11,629 is 221408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 707,112,679

GCF of Fractions 707/32,112/11,679/629 is 7/221408

7 707, 112, 679
101, 16, 97

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 707,112,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,112,679 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 707,112,679 . The biggest common factor number is the GCF number.
So the greatest common factor 707,112,679 is 7.

Lets's calculate LCM of 32,11,629

Given numbers has no common factors except 1. So, there LCM is their product i.e 221408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/221408

Therefore, the GCF of Fractions 707/32,112/11,679/629 is 7/221408

Least Common Multiple of 32,11,629 with GCF Formula

Least Common Multiple of 32,11,629 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 32,11,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,11,629) = 1

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

GCF(32,11,629) x common factors =1 x 1 = 1

LCM(32,11,629) = ( 32 × 11 × 629 ) / 1

LCM(32,11,629) = 221408 / 1

LCM(32,11,629) = 221408


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 707/32, 112/11, 679/629

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 707/32, 112/11, 679/629?

Answer: GCF of Numerators as per given numbers 707/32, 112/11, 679/629 is

GCF of Numerators i.e. for 707,112,679 is 7

LCM of denominators i.e. for 32,11,629 is 221408.

Thus, GCF of Fractions is 7/221408.Finally, GCF of Fractions for 707/32, 112/11, 679/629 is 7/221408.