Greatest Common Factor of 9782/78, 3308/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9782/78, 3308/833

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 9782/78,3308/833

Given fractions are 9782/78,3308/833

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 9782,3308

Greatest Common Factor of Numerators i.e. GCF of 9782,3308 is 2 .

LCM of Denominators means LCM of 78,833 as per the given fractions.

LCM of 78,833 is 64974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9782,3308

GCF of Fractions 9782/78,3308/833 is 2/64974

2 9782, 3308
4891, 1654

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

Greatest Common Factor of 9782,3308 By Matching Biggest Common Factor Method

Greatest Common Factor of 9782,3308 By Matching Biggest Common Factor Method

Factors of 9782

List of positive integer factors of 9782 that divides 9782 without a remainder.

1,2,67,73,134,146,4891,9782

Factors of 3308

List of positive integer factors of 3308 that divides 3308 without a remainder.

1,2,4,827,1654,3308

Greatest Common Factor

We found the factors 9782,3308 . The biggest common factor number is the GCF number.
So the greatest common factor 9782,3308 is 2.

Lets's calculate LCM of 78,833

Given numbers has no common factors except 1. So, there LCM is their product i.e 64974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64974

Therefore, the GCF of Fractions 9782/78,3308/833 is 2/64974

Least Common Multiple of 78,833 with GCF Formula

Least Common Multiple of 78,833 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 78,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,833) = 1

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

GCF(78,833) x common factors =1 x 1 = 1

LCM(78,833) = ( 78 × 833 ) / 1

LCM(78,833) = 64974 / 1

LCM(78,833) = 64974


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 9782/78, 3308/833

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 9782/78, 3308/833?

Answer: GCF of Numerators as per given numbers 9782/78, 3308/833 is

GCF of Numerators i.e. for 9782,3308 is 2

LCM of denominators i.e. for 78,833 is 64974.

Thus, GCF of Fractions is 2/64974.Finally, GCF of Fractions for 9782/78, 3308/833 is 2/64974.