Greatest Common Factor of 7432/632, 2830/6236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7432/632, 2830/6236

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 7432/632,2830/6236

Given fractions are 7432/632,2830/6236

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 7432,2830

Greatest Common Factor of Numerators i.e. GCF of 7432,2830 is 2 .

LCM of Denominators means LCM of 632,6236 as per the given fractions.

LCM of 632,6236 is 985288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7432,2830

GCF of Fractions 7432/632,2830/6236 is 2/985288

2 7432, 2830
3716, 1415

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

Greatest Common Factor of 7432,2830 By Matching Biggest Common Factor Method

Greatest Common Factor of 7432,2830 By Matching Biggest Common Factor Method

Factors of 7432

List of positive integer factors of 7432 that divides 7432 without a remainder.

1,2,4,8,929,1858,3716,7432

Factors of 2830

List of positive integer factors of 2830 that divides 2830 without a remainder.

1,2,5,10,283,566,1415,2830

Greatest Common Factor

We found the factors 7432,2830 . The biggest common factor number is the GCF number.
So the greatest common factor 7432,2830 is 2.

Lets's calculate LCM of 632,6236

2 632, 6236
2 316, 3118
158, 1559

∴ So the LCM of the given numbers is 2 x 2 x 158 x 1559 = 985288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/985288

Therefore, the GCF of Fractions 7432/632,2830/6236 is 2/985288

Least Common Multiple of 632,6236 with GCF Formula

Least Common Multiple of 632,6236 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 632,6236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,6236) = 4

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

GCF(632,6236) x common factors =4 x 1 = 4

LCM(632,6236) = ( 632 × 6236 ) / 4

LCM(632,6236) = 3941152 / 4

LCM(632,6236) = 985288


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 7432/632, 2830/6236

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 7432/632, 2830/6236?

Answer: GCF of Numerators as per given numbers 7432/632, 2830/6236 is

GCF of Numerators i.e. for 7432,2830 is 2

LCM of denominators i.e. for 632,6236 is 985288.

Thus, GCF of Fractions is 2/985288.Finally, GCF of Fractions for 7432/632, 2830/6236 is 2/985288.