Greatest Common Factor of 7314/918, 4849/3583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7314/918, 4849/3583

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 7314/918,4849/3583

Given fractions are 7314/918,4849/3583

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 7314,4849

Greatest Common Factor of Numerators i.e. GCF of 7314,4849 is 1 .

LCM of Denominators means LCM of 918,3583 as per the given fractions.

LCM of 918,3583 is 3289194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7314,4849

GCF of Fractions 7314/918,4849/3583 is 1/3289194

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

Greatest Common Factor of 7314,4849 By Matching Biggest Common Factor Method

Greatest Common Factor of 7314,4849 By Matching Biggest Common Factor Method

Factors of 7314

List of positive integer factors of 7314 that divides 7314 without a remainder.

1,2,3,6,23,46,53,69,106,138,159,318,1219,2438,3657,7314

Factors of 4849

List of positive integer factors of 4849 that divides 4849 without a remainder.

1,13,373,4849

Greatest Common Factor

We found the factors 7314,4849 . The biggest common factor number is the GCF number.
So the greatest common factor 7314,4849 is 1.

Lets's calculate LCM of 918,3583

Given numbers has no common factors except 1. So, there LCM is their product i.e 3289194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3289194

Therefore, the GCF of Fractions 7314/918,4849/3583 is 1/3289194

Least Common Multiple of 918,3583 with GCF Formula

Least Common Multiple of 918,3583 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 918,3583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,3583) = 1

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

GCF(918,3583) x common factors =1 x 1 = 1

LCM(918,3583) = ( 918 × 3583 ) / 1

LCM(918,3583) = 3289194 / 1

LCM(918,3583) = 3289194


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 7314/918, 4849/3583

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 7314/918, 4849/3583?

Answer: GCF of Numerators as per given numbers 7314/918, 4849/3583 is

GCF of Numerators i.e. for 7314,4849 is 1

LCM of denominators i.e. for 918,3583 is 3289194.

Thus, GCF of Fractions is 1/3289194.Finally, GCF of Fractions for 7314/918, 4849/3583 is 1/3289194.