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GCF of 8629/565, 2679/4530

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 8629/565, 2679/4530 i.e 1/511890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8629/565, 2679/4530.

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 8629/565,2679/4530?

Given fractions are 8629/565,2679/4530

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 8629/565,2679/4530, numerators are 8629,2679

Denominators are 565,4530

The GCF of 8629,2679 is 1 .

LCM of 565,4530 is 511890.

The greatest common factor of 8629/565,2679/4530 = [GCF of 8629,2679]/[LCM of 565,4530]= 1/511890

Therefore, the GCF of 8629/565,2679/4530 is 1/511890.

Greatest Common Factor of 8629,2679

To find the highest common factor of 8629,2679, we have to find the factors of both numbers and list the highest common factor.

The factors of 8629 are 1, 8629

The factors of 2679 are 1, 3, 19, 47, 57, 141, 893, 2679

The HCF of 8629,2679 is 1.

Lets's calculate GCF of 8629,2679

Greatest Common Factor (GCF) of 8629,2679 By Common Division

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

Greatest Common Factor of 8629,2679 By Matching Biggest Common Factor Method

Greatest Common Factor of 8629,2679 By Matching Biggest Common Factor Method

Now, list down the factors of 8629

:

1,8629

Now, list down the factors of 2679

:

1,3,19,47,57,141,893,2679

Greatest Common Factor

We found the factors 8629,2679 . The biggest common factor number is the GCF number.
So the greatest common factor 8629,2679 is 1.

Lets's calculate LCM of 565,4530

Lowest Common Multiple of 565,4530 using Common Division

5 565, 4530
113, 906

∴ So the LCM of the given numbers is 5 x 113 x 906 = 511890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/511890

Therefore, the GCF of Fractions 8629/565,2679/4530 is 1/511890

Least Common Multiple of 565,4530 with GCF Formula

Least Common Multiple of 565,4530 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 565,4530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,4530) = 5

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

GCF(565,4530) x common factors =5 x 1 = 5

LCM(565,4530) = ( 565 × 4530 ) / 5

LCM(565,4530) = 2559450 / 5

LCM(565,4530) = 511890


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8629/565, 2679/4530

1. What is the HCF of 8629,2679?

The HCF of 8629,2679 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 8629/565, 2679/4530?

Answer: GCF of Numerators as per given numbers 8629/565, 2679/4530 is

GCF of Numerators i.e. for 8629,2679 is 1

LCM of denominators i.e. for 565,4530 is 511890.

Thus, GCF of Fractions is 1/511890.Finally, GCF of Fractions for 8629/565, 2679/4530 is 1/511890.