Greatest Common Factor of 9983/392, 5362/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9983/392, 5362/782

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 9983/392,5362/782

Given fractions are 9983/392,5362/782

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 9983,5362

Greatest Common Factor of Numerators i.e. GCF of 9983,5362 is 1 .

LCM of Denominators means LCM of 392,782 as per the given fractions.

LCM of 392,782 is 153272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9983,5362

GCF of Fractions 9983/392,5362/782 is 1/153272

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9983,5362 By Matching Biggest Common Factor Method

Greatest Common Factor of 9983,5362 By Matching Biggest Common Factor Method

Factors of 9983

List of positive integer factors of 9983 that divides 9983 without a remainder.

1,67,149,9983

Factors of 5362

List of positive integer factors of 5362 that divides 5362 without a remainder.

1,2,7,14,383,766,2681,5362

Greatest Common Factor

We found the factors 9983,5362 . The biggest common factor number is the GCF number.
So the greatest common factor 9983,5362 is 1.

Lets's calculate LCM of 392,782

2 392, 782
196, 391

∴ So the LCM of the given numbers is 2 x 196 x 391 = 153272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153272

Therefore, the GCF of Fractions 9983/392,5362/782 is 1/153272

Least Common Multiple of 392,782 with GCF Formula

Least Common Multiple of 392,782 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 392,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,782) = 2

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

GCF(392,782) x common factors =2 x 1 = 2

LCM(392,782) = ( 392 × 782 ) / 2

LCM(392,782) = 306544 / 2

LCM(392,782) = 153272


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 9983/392, 5362/782

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 9983/392, 5362/782?

Answer: GCF of Numerators as per given numbers 9983/392, 5362/782 is

GCF of Numerators i.e. for 9983,5362 is 1

LCM of denominators i.e. for 392,782 is 153272.

Thus, GCF of Fractions is 1/153272.Finally, GCF of Fractions for 9983/392, 5362/782 is 1/153272.