Greatest Common Factor of 5345/111, 3792/8920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5345/111, 3792/8920

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 5345/111,3792/8920

Given fractions are 5345/111,3792/8920

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 5345,3792

Greatest Common Factor of Numerators i.e. GCF of 5345,3792 is 1 .

LCM of Denominators means LCM of 111,8920 as per the given fractions.

LCM of 111,8920 is 990120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5345,3792

GCF of Fractions 5345/111,3792/8920 is 1/990120

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

Greatest Common Factor of 5345,3792 By Matching Biggest Common Factor Method

Greatest Common Factor of 5345,3792 By Matching Biggest Common Factor Method

Factors of 5345

List of positive integer factors of 5345 that divides 5345 without a remainder.

1,5,1069,5345

Factors of 3792

List of positive integer factors of 3792 that divides 3792 without a remainder.

1,2,3,4,6,8,12,16,24,48,79,158,237,316,474,632,948,1264,1896,3792

Greatest Common Factor

We found the factors 5345,3792 . The biggest common factor number is the GCF number.
So the greatest common factor 5345,3792 is 1.

Lets's calculate LCM of 111,8920

Given numbers has no common factors except 1. So, there LCM is their product i.e 990120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/990120

Therefore, the GCF of Fractions 5345/111,3792/8920 is 1/990120

Least Common Multiple of 111,8920 with GCF Formula

Least Common Multiple of 111,8920 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 111,8920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,8920) = 1

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

GCF(111,8920) x common factors =1 x 1 = 1

LCM(111,8920) = ( 111 × 8920 ) / 1

LCM(111,8920) = 990120 / 1

LCM(111,8920) = 990120


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 5345/111, 3792/8920

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 5345/111, 3792/8920?

Answer: GCF of Numerators as per given numbers 5345/111, 3792/8920 is

GCF of Numerators i.e. for 5345,3792 is 1

LCM of denominators i.e. for 111,8920 is 990120.

Thus, GCF of Fractions is 1/990120.Finally, GCF of Fractions for 5345/111, 3792/8920 is 1/990120.