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GCF of 8827/228, 5823/586

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 8827/228, 5823/586 i.e 1/66804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8827/228, 5823/586.

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 8827/228,5823/586?

Given fractions are 8827/228,5823/586

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 8827/228,5823/586, numerators are 8827,5823

Denominators are 228,586

The GCF of 8827,5823 is 1 .

LCM of 228,586 is 66804.

The greatest common factor of 8827/228,5823/586 = [GCF of 8827,5823]/[LCM of 228,586]= 1/66804

Therefore, the GCF of 8827/228,5823/586 is 1/66804.

Greatest Common Factor of 8827,5823

To find the highest common factor of 8827,5823, we have to find the factors of both numbers and list the highest common factor.

The factors of 8827 are 1, 7, 13, 91, 97, 679, 1261, 8827

The factors of 5823 are 1, 3, 9, 647, 1941, 5823

The HCF of 8827,5823 is 1.

Lets's calculate GCF of 8827,5823

Greatest Common Factor (GCF) of 8827,5823 By Common Division

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

Greatest Common Factor of 8827,5823 By Matching Biggest Common Factor Method

Greatest Common Factor of 8827,5823 By Matching Biggest Common Factor Method

Now, list down the factors of 8827

:

1,7,13,91,97,679,1261,8827

Now, list down the factors of 5823

:

1,3,9,647,1941,5823

Greatest Common Factor

We found the factors 8827,5823 . The biggest common factor number is the GCF number.
So the greatest common factor 8827,5823 is 1.

Lets's calculate LCM of 228,586

Lowest Common Multiple of 228,586 using Common Division

2 228, 586
114, 293

∴ So the LCM of the given numbers is 2 x 114 x 293 = 66804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66804

Therefore, the GCF of Fractions 8827/228,5823/586 is 1/66804

Least Common Multiple of 228,586 with GCF Formula

Least Common Multiple of 228,586 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 228,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,586) = 2

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

GCF(228,586) x common factors =2 x 1 = 2

LCM(228,586) = ( 228 × 586 ) / 2

LCM(228,586) = 133608 / 2

LCM(228,586) = 66804


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FAQs on GCF of Fractions of 8827/228, 5823/586

1. What is the HCF of 8827,5823?

The HCF of 8827,5823 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 8827/228, 5823/586?

Answer: GCF of Numerators as per given numbers 8827/228, 5823/586 is

GCF of Numerators i.e. for 8827,5823 is 1

LCM of denominators i.e. for 228,586 is 66804.

Thus, GCF of Fractions is 1/66804.Finally, GCF of Fractions for 8827/228, 5823/586 is 1/66804.