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GCF of 9611/360, 7109/2220

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9611/360, 7109/2220 i.e 1/13320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9611/360, 7109/2220.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9611/360,7109/2220?

Given fractions are 9611/360,7109/2220

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9611/360,7109/2220, numerators are 9611,7109

Denominators are 360,2220

The GCF of 9611,7109 is 1 .

LCM of 360,2220 is 13320.

The greatest common factor of 9611/360,7109/2220 = [GCF of 9611,7109]/[LCM of 360,2220]= 1/13320

Therefore, the GCF of 9611/360,7109/2220 is 1/13320.

Greatest Common Factor of 9611,7109

To find the highest common factor of 9611,7109, we have to find the factors of both numbers and list the highest common factor.

The factors of 9611 are 1, 7, 1373, 9611

The factors of 7109 are 1, 7109

The HCF of 9611,7109 is 1.

Lets's calculate GCF of 9611,7109

Greatest Common Factor (GCF) of 9611,7109 By Common Division

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

Greatest Common Factor of 9611,7109 By Matching Biggest Common Factor Method

Greatest Common Factor of 9611,7109 By Matching Biggest Common Factor Method

Now, list down the factors of 9611

:

1,7,1373,9611

Now, list down the factors of 7109

:

1,7109

Greatest Common Factor

We found the factors 9611,7109 . The biggest common factor number is the GCF number.
So the greatest common factor 9611,7109 is 1.

Lets's calculate LCM of 360,2220

Lowest Common Multiple of 360,2220 using Common Division

2 360, 2220
2 180, 1110
3 90, 555
5 30, 185
6, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 6 x 37 = 13320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13320

Therefore, the GCF of Fractions 9611/360,7109/2220 is 1/13320

Least Common Multiple of 360,2220 with GCF Formula

Least Common Multiple of 360,2220 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 360,2220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,2220) = 60

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

GCF(360,2220) x common factors =60 x 1 = 60

LCM(360,2220) = ( 360 × 2220 ) / 60

LCM(360,2220) = 799200 / 60

LCM(360,2220) = 13320


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9611/360, 7109/2220

1. What is the HCF of 9611,7109?

The HCF of 9611,7109 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 9611/360, 7109/2220?

Answer: GCF of Numerators as per given numbers 9611/360, 7109/2220 is

GCF of Numerators i.e. for 9611,7109 is 1

LCM of denominators i.e. for 360,2220 is 13320.

Thus, GCF of Fractions is 1/13320.Finally, GCF of Fractions for 9611/360, 7109/2220 is 1/13320.