Greatest Common Factor of 84/734, 9249/2861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/734, 9249/2861

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 84/734,9249/2861

Given fractions are 84/734,9249/2861

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 84,9249

Greatest Common Factor of Numerators i.e. GCF of 84,9249 is 3 .

LCM of Denominators means LCM of 734,2861 as per the given fractions.

LCM of 734,2861 is 2099974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,9249

GCF of Fractions 84/734,9249/2861 is 3/2099974

3 84, 9249
28, 3083

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 84,9249 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,9249 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 9249

List of positive integer factors of 9249 that divides 9249 without a remainder.

1,3,3083,9249

Greatest Common Factor

We found the factors 84,9249 . The biggest common factor number is the GCF number.
So the greatest common factor 84,9249 is 3.

Lets's calculate LCM of 734,2861

Given numbers has no common factors except 1. So, there LCM is their product i.e 2099974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2099974

Therefore, the GCF of Fractions 84/734,9249/2861 is 3/2099974

Least Common Multiple of 734,2861 with GCF Formula

Least Common Multiple of 734,2861 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 734,2861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,2861) = 1

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

GCF(734,2861) x common factors =1 x 1 = 1

LCM(734,2861) = ( 734 × 2861 ) / 1

LCM(734,2861) = 2099974 / 1

LCM(734,2861) = 2099974


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 84/734, 9249/2861

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 84/734, 9249/2861?

Answer: GCF of Numerators as per given numbers 84/734, 9249/2861 is

GCF of Numerators i.e. for 84,9249 is 3

LCM of denominators i.e. for 734,2861 is 2099974.

Thus, GCF of Fractions is 3/2099974.Finally, GCF of Fractions for 84/734, 9249/2861 is 3/2099974.