Greatest Common Factor of 4844/34, 6495/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4844/34, 6495/982

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 4844/34,6495/982

Given fractions are 4844/34,6495/982

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 4844,6495

Greatest Common Factor of Numerators i.e. GCF of 4844,6495 is 1 .

LCM of Denominators means LCM of 34,982 as per the given fractions.

LCM of 34,982 is 16694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4844,6495

GCF of Fractions 4844/34,6495/982 is 1/16694

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

Greatest Common Factor of 4844,6495 By Matching Biggest Common Factor Method

Greatest Common Factor of 4844,6495 By Matching Biggest Common Factor Method

Factors of 4844

List of positive integer factors of 4844 that divides 4844 without a remainder.

1,2,4,7,14,28,173,346,692,1211,2422,4844

Factors of 6495

List of positive integer factors of 6495 that divides 6495 without a remainder.

1,3,5,15,433,1299,2165,6495

Greatest Common Factor

We found the factors 4844,6495 . The biggest common factor number is the GCF number.
So the greatest common factor 4844,6495 is 1.

Lets's calculate LCM of 34,982

2 34, 982
17, 491

∴ So the LCM of the given numbers is 2 x 17 x 491 = 16694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16694

Therefore, the GCF of Fractions 4844/34,6495/982 is 1/16694

Least Common Multiple of 34,982 with GCF Formula

Least Common Multiple of 34,982 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 34,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,982) = 2

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

GCF(34,982) x common factors =2 x 1 = 2

LCM(34,982) = ( 34 × 982 ) / 2

LCM(34,982) = 33388 / 2

LCM(34,982) = 16694


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 4844/34, 6495/982

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 4844/34, 6495/982?

Answer: GCF of Numerators as per given numbers 4844/34, 6495/982 is

GCF of Numerators i.e. for 4844,6495 is 1

LCM of denominators i.e. for 34,982 is 16694.

Thus, GCF of Fractions is 1/16694.Finally, GCF of Fractions for 4844/34, 6495/982 is 1/16694.