Greatest Common Factor of 1109/61, 1601/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1109/61, 1601/920

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 1109/61,1601/920

Given fractions are 1109/61,1601/920

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 1109,1601

Greatest Common Factor of Numerators i.e. GCF of 1109,1601 is 1 .

LCM of Denominators means LCM of 61,920 as per the given fractions.

LCM of 61,920 is 56120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1109,1601

GCF of Fractions 1109/61,1601/920 is 1/56120

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

Greatest Common Factor of 1109,1601 By Matching Biggest Common Factor Method

Greatest Common Factor of 1109,1601 By Matching Biggest Common Factor Method

Factors of 1109

List of positive integer factors of 1109 that divides 1109 without a remainder.

1,1109

Factors of 1601

List of positive integer factors of 1601 that divides 1601 without a remainder.

1,1601

Greatest Common Factor

We found the factors 1109,1601 . The biggest common factor number is the GCF number.
So the greatest common factor 1109,1601 is 1.

Lets's calculate LCM of 61,920

Given numbers has no common factors except 1. So, there LCM is their product i.e 56120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56120

Therefore, the GCF of Fractions 1109/61,1601/920 is 1/56120

Least Common Multiple of 61,920 with GCF Formula

Least Common Multiple of 61,920 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 61,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,920) = 1

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

GCF(61,920) x common factors =1 x 1 = 1

LCM(61,920) = ( 61 × 920 ) / 1

LCM(61,920) = 56120 / 1

LCM(61,920) = 56120


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 1109/61, 1601/920

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 1109/61, 1601/920?

Answer: GCF of Numerators as per given numbers 1109/61, 1601/920 is

GCF of Numerators i.e. for 1109,1601 is 1

LCM of denominators i.e. for 61,920 is 56120.

Thus, GCF of Fractions is 1/56120.Finally, GCF of Fractions for 1109/61, 1601/920 is 1/56120.