Greatest Common Factor of 9962/393, 5688/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9962/393, 5688/428

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 9962/393,5688/428

Given fractions are 9962/393,5688/428

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 9962,5688

Greatest Common Factor of Numerators i.e. GCF of 9962,5688 is 2 .

LCM of Denominators means LCM of 393,428 as per the given fractions.

LCM of 393,428 is 168204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9962,5688

GCF of Fractions 9962/393,5688/428 is 2/168204

2 9962, 5688
4981, 2844

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

Greatest Common Factor of 9962,5688 By Matching Biggest Common Factor Method

Greatest Common Factor of 9962,5688 By Matching Biggest Common Factor Method

Factors of 9962

List of positive integer factors of 9962 that divides 9962 without a remainder.

1,2,17,34,293,586,4981,9962

Factors of 5688

List of positive integer factors of 5688 that divides 5688 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688

Greatest Common Factor

We found the factors 9962,5688 . The biggest common factor number is the GCF number.
So the greatest common factor 9962,5688 is 2.

Lets's calculate LCM of 393,428

Given numbers has no common factors except 1. So, there LCM is their product i.e 168204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/168204

Therefore, the GCF of Fractions 9962/393,5688/428 is 2/168204

Least Common Multiple of 393,428 with GCF Formula

Least Common Multiple of 393,428 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 393,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,428) = 1

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

GCF(393,428) x common factors =1 x 1 = 1

LCM(393,428) = ( 393 × 428 ) / 1

LCM(393,428) = 168204 / 1

LCM(393,428) = 168204


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 9962/393, 5688/428

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 9962/393, 5688/428?

Answer: GCF of Numerators as per given numbers 9962/393, 5688/428 is

GCF of Numerators i.e. for 9962,5688 is 2

LCM of denominators i.e. for 393,428 is 168204.

Thus, GCF of Fractions is 2/168204.Finally, GCF of Fractions for 9962/393, 5688/428 is 2/168204.