Greatest Common Factor of 7752/407, 9212/5335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7752/407, 9212/5335

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 7752/407,9212/5335

Given fractions are 7752/407,9212/5335

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 7752,9212

Greatest Common Factor of Numerators i.e. GCF of 7752,9212 is 4 .

LCM of Denominators means LCM of 407,5335 as per the given fractions.

LCM of 407,5335 is 197395 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7752,9212

GCF of Fractions 7752/407,9212/5335 is 4/197395

2 7752, 9212
2 3876, 4606
1938, 2303

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7752,9212 By Matching Biggest Common Factor Method

Greatest Common Factor of 7752,9212 By Matching Biggest Common Factor Method

Factors of 7752

List of positive integer factors of 7752 that divides 7752 without a remainder.

1,2,3,4,6,8,12,17,19,24,34,38,51,57,68,76,102,114,136,152,204,228,323,408,456,646,969,1292,1938,2584,3876,7752

Factors of 9212

List of positive integer factors of 9212 that divides 9212 without a remainder.

1,2,4,7,14,28,47,49,94,98,188,196,329,658,1316,2303,4606,9212

Greatest Common Factor

We found the factors 7752,9212 . The biggest common factor number is the GCF number.
So the greatest common factor 7752,9212 is 4.

Lets's calculate LCM of 407,5335

11 407, 5335
37, 485

∴ So the LCM of the given numbers is 11 x 37 x 485 = 197395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/197395

Therefore, the GCF of Fractions 7752/407,9212/5335 is 4/197395

Least Common Multiple of 407,5335 with GCF Formula

Least Common Multiple of 407,5335 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 407,5335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,5335) = 11

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

GCF(407,5335) x common factors =11 x 1 = 11

LCM(407,5335) = ( 407 × 5335 ) / 11

LCM(407,5335) = 2171345 / 11

LCM(407,5335) = 197395


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 7752/407, 9212/5335

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 7752/407, 9212/5335?

Answer: GCF of Numerators as per given numbers 7752/407, 9212/5335 is

GCF of Numerators i.e. for 7752,9212 is 4

LCM of denominators i.e. for 407,5335 is 197395.

Thus, GCF of Fractions is 4/197395.Finally, GCF of Fractions for 7752/407, 9212/5335 is 4/197395.