Greatest Common Factor of 752/67, 229/41, 378/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 752/67, 229/41, 378/897

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 752/67,229/41,378/897

Given fractions are 752/67,229/41,378/897

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 752,229,378

Greatest Common Factor of Numerators i.e. GCF of 752,229,378 is 1 .

LCM of Denominators means LCM of 67,41,897 as per the given fractions.

LCM of 67,41,897 is 2464059 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 752,229,378

GCF of Fractions 752/67,229/41,378/897 is 1/2464059

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

Greatest Common Factor of 752,229,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,229,378 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 752,229,378 . The biggest common factor number is the GCF number.
So the greatest common factor 752,229,378 is 1.

Lets's calculate LCM of 67,41,897

Given numbers has no common factors except 1. So, there LCM is their product i.e 2464059

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2464059

Therefore, the GCF of Fractions 752/67,229/41,378/897 is 1/2464059

Least Common Multiple of 67,41,897 with GCF Formula

Least Common Multiple of 67,41,897 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 67,41,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,41,897) = 1

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

GCF(67,41,897) x common factors =1 x 1 = 1

LCM(67,41,897) = ( 67 × 41 × 897 ) / 1

LCM(67,41,897) = 2464059 / 1

LCM(67,41,897) = 2464059


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 752/67, 229/41, 378/897

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 752/67, 229/41, 378/897?

Answer: GCF of Numerators as per given numbers 752/67, 229/41, 378/897 is

GCF of Numerators i.e. for 752,229,378 is 1

LCM of denominators i.e. for 67,41,897 is 2464059.

Thus, GCF of Fractions is 1/2464059.Finally, GCF of Fractions for 752/67, 229/41, 378/897 is 1/2464059.