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GCF of 5869/477, 8529/8064

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 5869/477, 8529/8064 i.e 1/427392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5869/477, 8529/8064.

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 5869/477,8529/8064?

Given fractions are 5869/477,8529/8064

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 5869/477,8529/8064, numerators are 5869,8529

Denominators are 477,8064

The GCF of 5869,8529 is 1 .

LCM of 477,8064 is 427392.

The greatest common factor of 5869/477,8529/8064 = [GCF of 5869,8529]/[LCM of 477,8064]= 1/427392

Therefore, the GCF of 5869/477,8529/8064 is 1/427392.

Greatest Common Factor of 5869,8529

To find the highest common factor of 5869,8529, we have to find the factors of both numbers and list the highest common factor.

The factors of 5869 are 1, 5869

The factors of 8529 are 1, 3, 2843, 8529

The HCF of 5869,8529 is 1.

Lets's calculate GCF of 5869,8529

Greatest Common Factor (GCF) of 5869,8529 By Common Division

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

Greatest Common Factor of 5869,8529 By Matching Biggest Common Factor Method

Greatest Common Factor of 5869,8529 By Matching Biggest Common Factor Method

Now, list down the factors of 5869

:

1,5869

Now, list down the factors of 8529

:

1,3,2843,8529

Greatest Common Factor

We found the factors 5869,8529 . The biggest common factor number is the GCF number.
So the greatest common factor 5869,8529 is 1.

Lets's calculate LCM of 477,8064

Lowest Common Multiple of 477,8064 using Common Division

3 477, 8064
3 159, 2688
53, 896

∴ So the LCM of the given numbers is 3 x 3 x 53 x 896 = 427392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/427392

Therefore, the GCF of Fractions 5869/477,8529/8064 is 1/427392

Least Common Multiple of 477,8064 with GCF Formula

Least Common Multiple of 477,8064 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 477,8064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,8064) = 9

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

GCF(477,8064) x common factors =9 x 1 = 9

LCM(477,8064) = ( 477 × 8064 ) / 9

LCM(477,8064) = 3846528 / 9

LCM(477,8064) = 427392


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FAQs on GCF of Fractions of 5869/477, 8529/8064

1. What is the HCF of 5869,8529?

The HCF of 5869,8529 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 5869/477, 8529/8064?

Answer: GCF of Numerators as per given numbers 5869/477, 8529/8064 is

GCF of Numerators i.e. for 5869,8529 is 1

LCM of denominators i.e. for 477,8064 is 427392.

Thus, GCF of Fractions is 1/427392.Finally, GCF of Fractions for 5869/477, 8529/8064 is 1/427392.