Greatest Common Factor of 9884/813, 5789/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9884/813, 5789/962

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 9884/813,5789/962

Given fractions are 9884/813,5789/962

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 9884,5789

Greatest Common Factor of Numerators i.e. GCF of 9884,5789 is 7 .

LCM of Denominators means LCM of 813,962 as per the given fractions.

LCM of 813,962 is 782106 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9884,5789

GCF of Fractions 9884/813,5789/962 is 7/782106

7 9884, 5789
1412, 827

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9884,5789 By Matching Biggest Common Factor Method

Greatest Common Factor of 9884,5789 By Matching Biggest Common Factor Method

Factors of 9884

List of positive integer factors of 9884 that divides 9884 without a remainder.

1,2,4,7,14,28,353,706,1412,2471,4942,9884

Factors of 5789

List of positive integer factors of 5789 that divides 5789 without a remainder.

1,7,827,5789

Greatest Common Factor

We found the factors 9884,5789 . The biggest common factor number is the GCF number.
So the greatest common factor 9884,5789 is 7.

Lets's calculate LCM of 813,962

Given numbers has no common factors except 1. So, there LCM is their product i.e 782106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/782106

Therefore, the GCF of Fractions 9884/813,5789/962 is 7/782106

Least Common Multiple of 813,962 with GCF Formula

Least Common Multiple of 813,962 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 813,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,962) = 1

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

GCF(813,962) x common factors =1 x 1 = 1

LCM(813,962) = ( 813 × 962 ) / 1

LCM(813,962) = 782106 / 1

LCM(813,962) = 782106


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 9884/813, 5789/962

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 9884/813, 5789/962?

Answer: GCF of Numerators as per given numbers 9884/813, 5789/962 is

GCF of Numerators i.e. for 9884,5789 is 7

LCM of denominators i.e. for 813,962 is 782106.

Thus, GCF of Fractions is 7/782106.Finally, GCF of Fractions for 9884/813, 5789/962 is 7/782106.