Greatest Common Factor of 761/18, 4752/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 761/18, 4752/428

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 761/18,4752/428

Given fractions are 761/18,4752/428

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 761,4752

Greatest Common Factor of Numerators i.e. GCF of 761,4752 is 1 .

LCM of Denominators means LCM of 18,428 as per the given fractions.

LCM of 18,428 is 3852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 761,4752

GCF of Fractions 761/18,4752/428 is 1/3852

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

Greatest Common Factor of 761,4752 By Matching Biggest Common Factor Method

Greatest Common Factor of 761,4752 By Matching Biggest Common Factor Method

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 4752

List of positive integer factors of 4752 that divides 4752 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752

Greatest Common Factor

We found the factors 761,4752 . The biggest common factor number is the GCF number.
So the greatest common factor 761,4752 is 1.

Lets's calculate LCM of 18,428

2 18, 428
9, 214

∴ So the LCM of the given numbers is 2 x 9 x 214 = 3852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3852

Therefore, the GCF of Fractions 761/18,4752/428 is 1/3852

Least Common Multiple of 18,428 with GCF Formula

Least Common Multiple of 18,428 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 18,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,428) = 2

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

GCF(18,428) x common factors =2 x 1 = 2

LCM(18,428) = ( 18 × 428 ) / 2

LCM(18,428) = 7704 / 2

LCM(18,428) = 3852


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 761/18, 4752/428

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 761/18, 4752/428?

Answer: GCF of Numerators as per given numbers 761/18, 4752/428 is

GCF of Numerators i.e. for 761,4752 is 1

LCM of denominators i.e. for 18,428 is 3852.

Thus, GCF of Fractions is 1/3852.Finally, GCF of Fractions for 761/18, 4752/428 is 1/3852.