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GCF of 8564/528, 7159/4233

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 8564/528, 7159/4233 i.e 1/745008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8564/528, 7159/4233.

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 8564/528,7159/4233?

Given fractions are 8564/528,7159/4233

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 8564/528,7159/4233, numerators are 8564,7159

Denominators are 528,4233

The GCF of 8564,7159 is 1 .

LCM of 528,4233 is 745008.

The greatest common factor of 8564/528,7159/4233 = [GCF of 8564,7159]/[LCM of 528,4233]= 1/745008

Therefore, the GCF of 8564/528,7159/4233 is 1/745008.

Greatest Common Factor of 8564,7159

To find the highest common factor of 8564,7159, we have to find the factors of both numbers and list the highest common factor.

The factors of 8564 are 1, 2, 4, 2141, 4282, 8564

The factors of 7159 are 1, 7159

The HCF of 8564,7159 is 1.

Lets's calculate GCF of 8564,7159

Greatest Common Factor (GCF) of 8564,7159 By Common Division

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

Greatest Common Factor of 8564,7159 By Matching Biggest Common Factor Method

Greatest Common Factor of 8564,7159 By Matching Biggest Common Factor Method

Now, list down the factors of 8564

:

1,2,4,2141,4282,8564

Now, list down the factors of 7159

:

1,7159

Greatest Common Factor

We found the factors 8564,7159 . The biggest common factor number is the GCF number.
So the greatest common factor 8564,7159 is 1.

Lets's calculate LCM of 528,4233

Lowest Common Multiple of 528,4233 using Common Division

3 528, 4233
176, 1411

∴ So the LCM of the given numbers is 3 x 176 x 1411 = 745008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/745008

Therefore, the GCF of Fractions 8564/528,7159/4233 is 1/745008

Least Common Multiple of 528,4233 with GCF Formula

Least Common Multiple of 528,4233 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 528,4233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,4233) = 3

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

GCF(528,4233) x common factors =3 x 1 = 3

LCM(528,4233) = ( 528 × 4233 ) / 3

LCM(528,4233) = 2235024 / 3

LCM(528,4233) = 745008


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8564/528, 7159/4233

1. What is the HCF of 8564,7159?

The HCF of 8564,7159 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 8564/528, 7159/4233?

Answer: GCF of Numerators as per given numbers 8564/528, 7159/4233 is

GCF of Numerators i.e. for 8564,7159 is 1

LCM of denominators i.e. for 528,4233 is 745008.

Thus, GCF of Fractions is 1/745008.Finally, GCF of Fractions for 8564/528, 7159/4233 is 1/745008.