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GCF of 8817/950, 6087/764

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 8817/950, 6087/764 i.e 3/362900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8817/950, 6087/764.

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 8817/950,6087/764?

Given fractions are 8817/950,6087/764

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 8817/950,6087/764, numerators are 8817,6087

Denominators are 950,764

The GCF of 8817,6087 is 3 .

LCM of 950,764 is 362900.

The greatest common factor of 8817/950,6087/764 = [GCF of 8817,6087]/[LCM of 950,764]= 3/362900

Therefore, the GCF of 8817/950,6087/764 is 3/362900.

Greatest Common Factor of 8817,6087

To find the highest common factor of 8817,6087, we have to find the factors of both numbers and list the highest common factor.

The factors of 8817 are 1, 3, 2939, 8817

The factors of 6087 are 1, 3, 2029, 6087

The HCF of 8817,6087 is 3.

Lets's calculate GCF of 8817,6087

Greatest Common Factor (GCF) of 8817,6087 By Common Division

3 8817, 6087
2939, 2029

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8817,6087 By Matching Biggest Common Factor Method

Greatest Common Factor of 8817,6087 By Matching Biggest Common Factor Method

Now, list down the factors of 8817

:

1,3,2939,8817

Now, list down the factors of 6087

:

1,3,2029,6087

Greatest Common Factor

We found the factors 8817,6087 . The biggest common factor number is the GCF number.
So the greatest common factor 8817,6087 is 3.

Lets's calculate LCM of 950,764

Lowest Common Multiple of 950,764 using Common Division

2 950, 764
475, 382

∴ So the LCM of the given numbers is 2 x 475 x 382 = 362900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/362900

Therefore, the GCF of Fractions 8817/950,6087/764 is 3/362900

Least Common Multiple of 950,764 with GCF Formula

Least Common Multiple of 950,764 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 950,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,764) = 2

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

GCF(950,764) x common factors =2 x 1 = 2

LCM(950,764) = ( 950 × 764 ) / 2

LCM(950,764) = 725800 / 2

LCM(950,764) = 362900


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FAQs on GCF of Fractions of 8817/950, 6087/764

1. What is the HCF of 8817,6087?

The HCF of 8817,6087 is 3

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 8817/950, 6087/764?

Answer: GCF of Numerators as per given numbers 8817/950, 6087/764 is

GCF of Numerators i.e. for 8817,6087 is 3

LCM of denominators i.e. for 950,764 is 362900.

Thus, GCF of Fractions is 3/362900.Finally, GCF of Fractions for 8817/950, 6087/764 is 3/362900.