Greatest Common Factor of 9484/35, 1072/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9484/35, 1072/334

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 9484/35,1072/334

Given fractions are 9484/35,1072/334

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 9484,1072

Greatest Common Factor of Numerators i.e. GCF of 9484,1072 is 4 .

LCM of Denominators means LCM of 35,334 as per the given fractions.

LCM of 35,334 is 11690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9484,1072

GCF of Fractions 9484/35,1072/334 is 4/11690

2 9484, 1072
2 4742, 536
2371, 268

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9484,1072 By Matching Biggest Common Factor Method

Greatest Common Factor of 9484,1072 By Matching Biggest Common Factor Method

Factors of 9484

List of positive integer factors of 9484 that divides 9484 without a remainder.

1,2,4,2371,4742,9484

Factors of 1072

List of positive integer factors of 1072 that divides 1072 without a remainder.

1,2,4,8,16,67,134,268,536,1072

Greatest Common Factor

We found the factors 9484,1072 . The biggest common factor number is the GCF number.
So the greatest common factor 9484,1072 is 4.

Lets's calculate LCM of 35,334

Given numbers has no common factors except 1. So, there LCM is their product i.e 11690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11690

Therefore, the GCF of Fractions 9484/35,1072/334 is 4/11690

Least Common Multiple of 35,334 with GCF Formula

Least Common Multiple of 35,334 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 35,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,334) = 1

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

GCF(35,334) x common factors =1 x 1 = 1

LCM(35,334) = ( 35 × 334 ) / 1

LCM(35,334) = 11690 / 1

LCM(35,334) = 11690


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 9484/35, 1072/334

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 9484/35, 1072/334?

Answer: GCF of Numerators as per given numbers 9484/35, 1072/334 is

GCF of Numerators i.e. for 9484,1072 is 4

LCM of denominators i.e. for 35,334 is 11690.

Thus, GCF of Fractions is 4/11690.Finally, GCF of Fractions for 9484/35, 1072/334 is 4/11690.