Greatest Common Factor of 9043/85, 3484/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9043/85, 3484/364

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 9043/85,3484/364

Given fractions are 9043/85,3484/364

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 9043,3484

Greatest Common Factor of Numerators i.e. GCF of 9043,3484 is 1 .

LCM of Denominators means LCM of 85,364 as per the given fractions.

LCM of 85,364 is 30940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9043,3484

GCF of Fractions 9043/85,3484/364 is 1/30940

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

Greatest Common Factor of 9043,3484 By Matching Biggest Common Factor Method

Greatest Common Factor of 9043,3484 By Matching Biggest Common Factor Method

Factors of 9043

List of positive integer factors of 9043 that divides 9043 without a remainder.

1,9043

Factors of 3484

List of positive integer factors of 3484 that divides 3484 without a remainder.

1,2,4,13,26,52,67,134,268,871,1742,3484

Greatest Common Factor

We found the factors 9043,3484 . The biggest common factor number is the GCF number.
So the greatest common factor 9043,3484 is 1.

Lets's calculate LCM of 85,364

Given numbers has no common factors except 1. So, there LCM is their product i.e 30940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30940

Therefore, the GCF of Fractions 9043/85,3484/364 is 1/30940

Least Common Multiple of 85,364 with GCF Formula

Least Common Multiple of 85,364 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 85,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,364) = 1

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

GCF(85,364) x common factors =1 x 1 = 1

LCM(85,364) = ( 85 × 364 ) / 1

LCM(85,364) = 30940 / 1

LCM(85,364) = 30940


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 9043/85, 3484/364

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 9043/85, 3484/364?

Answer: GCF of Numerators as per given numbers 9043/85, 3484/364 is

GCF of Numerators i.e. for 9043,3484 is 1

LCM of denominators i.e. for 85,364 is 30940.

Thus, GCF of Fractions is 1/30940.Finally, GCF of Fractions for 9043/85, 3484/364 is 1/30940.