Greatest Common Factor of 703/75, 760/33, 628/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 703/75, 760/33, 628/842

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 703/75,760/33,628/842

Given fractions are 703/75,760/33,628/842

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 703,760,628

Greatest Common Factor of Numerators i.e. GCF of 703,760,628 is 1 .

LCM of Denominators means LCM of 75,33,842 as per the given fractions.

LCM of 75,33,842 is 694650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 703,760,628

GCF of Fractions 703/75,760/33,628/842 is 1/694650

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

Greatest Common Factor of 703,760,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,760,628 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 703,760,628 . The biggest common factor number is the GCF number.
So the greatest common factor 703,760,628 is 1.

Lets's calculate LCM of 75,33,842

3 75, 33, 842
25, 11, 842

∴ So the LCM of the given numbers is 3 x 25 x 11 x 842 = 694650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/694650

Therefore, the GCF of Fractions 703/75,760/33,628/842 is 1/694650

Least Common Multiple of 75,33,842 with GCF Formula

Least Common Multiple of 75,33,842 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 75,33,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,33,842) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,33,842) x common factors =1 x 3 = 3

LCM(75,33,842) = ( 75 × 33 × 842 ) / 3

LCM(75,33,842) = 2083950 / 3

LCM(75,33,842) = 694650


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 703/75, 760/33, 628/842

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 703/75, 760/33, 628/842?

Answer: GCF of Numerators as per given numbers 703/75, 760/33, 628/842 is

GCF of Numerators i.e. for 703,760,628 is 1

LCM of denominators i.e. for 75,33,842 is 694650.

Thus, GCF of Fractions is 1/694650.Finally, GCF of Fractions for 703/75, 760/33, 628/842 is 1/694650.