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GCF of 7869/220, 4109/530

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 7869/220, 4109/530 i.e 1/11660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7869/220, 4109/530.

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 7869/220,4109/530?

Given fractions are 7869/220,4109/530

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 7869/220,4109/530, numerators are 7869,4109

Denominators are 220,530

The GCF of 7869,4109 is 1 .

LCM of 220,530 is 11660.

The greatest common factor of 7869/220,4109/530 = [GCF of 7869,4109]/[LCM of 220,530]= 1/11660

Therefore, the GCF of 7869/220,4109/530 is 1/11660.

Greatest Common Factor of 7869,4109

To find the highest common factor of 7869,4109, we have to find the factors of both numbers and list the highest common factor.

The factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869

The factors of 4109 are 1, 7, 587, 4109

The HCF of 7869,4109 is 1.

Lets's calculate GCF of 7869,4109

Greatest Common Factor (GCF) of 7869,4109 By Common Division

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

Greatest Common Factor of 7869,4109 By Matching Biggest Common Factor Method

Greatest Common Factor of 7869,4109 By Matching Biggest Common Factor Method

Now, list down the factors of 7869

:

1,3,43,61,129,183,2623,7869

Now, list down the factors of 4109

:

1,7,587,4109

Greatest Common Factor

We found the factors 7869,4109 . The biggest common factor number is the GCF number.
So the greatest common factor 7869,4109 is 1.

Lets's calculate LCM of 220,530

Lowest Common Multiple of 220,530 using Common Division

2 220, 530
5 110, 265
22, 53

∴ So the LCM of the given numbers is 2 x 5 x 22 x 53 = 11660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11660

Therefore, the GCF of Fractions 7869/220,4109/530 is 1/11660

Least Common Multiple of 220,530 with GCF Formula

Least Common Multiple of 220,530 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 220,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,530) = 10

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

GCF(220,530) x common factors =10 x 1 = 10

LCM(220,530) = ( 220 × 530 ) / 10

LCM(220,530) = 116600 / 10

LCM(220,530) = 11660


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FAQs on GCF of Fractions of 7869/220, 4109/530

1. What is the HCF of 7869,4109?

The HCF of 7869,4109 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 7869/220, 4109/530?

Answer: GCF of Numerators as per given numbers 7869/220, 4109/530 is

GCF of Numerators i.e. for 7869,4109 is 1

LCM of denominators i.e. for 220,530 is 11660.

Thus, GCF of Fractions is 1/11660.Finally, GCF of Fractions for 7869/220, 4109/530 is 1/11660.