Greatest Common Factor of 7440/34, 8833/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7440/34, 8833/161

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 7440/34,8833/161

Given fractions are 7440/34,8833/161

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 7440,8833

Greatest Common Factor of Numerators i.e. GCF of 7440,8833 is 1 .

LCM of Denominators means LCM of 34,161 as per the given fractions.

LCM of 34,161 is 5474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7440,8833

GCF of Fractions 7440/34,8833/161 is 1/5474

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

Greatest Common Factor of 7440,8833 By Matching Biggest Common Factor Method

Greatest Common Factor of 7440,8833 By Matching Biggest Common Factor Method

Factors of 7440

List of positive integer factors of 7440 that divides 7440 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440

Factors of 8833

List of positive integer factors of 8833 that divides 8833 without a remainder.

1,11,73,121,803,8833

Greatest Common Factor

We found the factors 7440,8833 . The biggest common factor number is the GCF number.
So the greatest common factor 7440,8833 is 1.

Lets's calculate LCM of 34,161

Given numbers has no common factors except 1. So, there LCM is their product i.e 5474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5474

Therefore, the GCF of Fractions 7440/34,8833/161 is 1/5474

Least Common Multiple of 34,161 with GCF Formula

Least Common Multiple of 34,161 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 34,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,161) = 1

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

GCF(34,161) x common factors =1 x 1 = 1

LCM(34,161) = ( 34 × 161 ) / 1

LCM(34,161) = 5474 / 1

LCM(34,161) = 5474


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 7440/34, 8833/161

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 7440/34, 8833/161?

Answer: GCF of Numerators as per given numbers 7440/34, 8833/161 is

GCF of Numerators i.e. for 7440,8833 is 1

LCM of denominators i.e. for 34,161 is 5474.

Thus, GCF of Fractions is 1/5474.Finally, GCF of Fractions for 7440/34, 8833/161 is 1/5474.