Greatest Common Factor of 9892/632, 3832/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9892/632, 3832/621

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 9892/632,3832/621

Given fractions are 9892/632,3832/621

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 9892,3832

Greatest Common Factor of Numerators i.e. GCF of 9892,3832 is 4 .

LCM of Denominators means LCM of 632,621 as per the given fractions.

LCM of 632,621 is 392472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9892,3832

GCF of Fractions 9892/632,3832/621 is 4/392472

2 9892, 3832
2 4946, 1916
2473, 958

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

Greatest Common Factor of 9892,3832 By Matching Biggest Common Factor Method

Greatest Common Factor of 9892,3832 By Matching Biggest Common Factor Method

Factors of 9892

List of positive integer factors of 9892 that divides 9892 without a remainder.

1,2,4,2473,4946,9892

Factors of 3832

List of positive integer factors of 3832 that divides 3832 without a remainder.

1,2,4,8,479,958,1916,3832

Greatest Common Factor

We found the factors 9892,3832 . The biggest common factor number is the GCF number.
So the greatest common factor 9892,3832 is 4.

Lets's calculate LCM of 632,621

Given numbers has no common factors except 1. So, there LCM is their product i.e 392472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/392472

Therefore, the GCF of Fractions 9892/632,3832/621 is 4/392472

Least Common Multiple of 632,621 with GCF Formula

Least Common Multiple of 632,621 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 632,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,621) = 1

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

GCF(632,621) x common factors =1 x 1 = 1

LCM(632,621) = ( 632 × 621 ) / 1

LCM(632,621) = 392472 / 1

LCM(632,621) = 392472


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 9892/632, 3832/621

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 9892/632, 3832/621?

Answer: GCF of Numerators as per given numbers 9892/632, 3832/621 is

GCF of Numerators i.e. for 9892,3832 is 4

LCM of denominators i.e. for 632,621 is 392472.

Thus, GCF of Fractions is 4/392472.Finally, GCF of Fractions for 9892/632, 3832/621 is 4/392472.