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GCF of 28/228, 5527/3711

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 28/228, 5527/3711 i.e 1/282036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/228, 5527/3711.

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 28/228,5527/3711?

Given fractions are 28/228,5527/3711

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 28/228,5527/3711, numerators are 28,5527

Denominators are 228,3711

The GCF of 28,5527 is 1 .

LCM of 228,3711 is 282036.

The greatest common factor of 28/228,5527/3711 = [GCF of 28,5527]/[LCM of 228,3711]= 1/282036

Therefore, the GCF of 28/228,5527/3711 is 1/282036.

Greatest Common Factor of 28,5527

To find the highest common factor of 28,5527, we have to find the factors of both numbers and list the highest common factor.

The factors of 28 are 1, 2, 4, 7, 14, 28

The factors of 5527 are 1, 5527

The HCF of 28,5527 is 1.

Lets's calculate GCF of 28,5527

Greatest Common Factor (GCF) of 28,5527 By Common Division

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

Greatest Common Factor of 28,5527 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,5527 By Matching Biggest Common Factor Method

Now, list down the factors of 28

:

1,2,4,7,14,28

Now, list down the factors of 5527

:

1,5527

Greatest Common Factor

We found the factors 28,5527 . The biggest common factor number is the GCF number.
So the greatest common factor 28,5527 is 1.

Lets's calculate LCM of 228,3711

Lowest Common Multiple of 228,3711 using Common Division

3 228, 3711
76, 1237

∴ So the LCM of the given numbers is 3 x 76 x 1237 = 282036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282036

Therefore, the GCF of Fractions 28/228,5527/3711 is 1/282036

Least Common Multiple of 228,3711 with GCF Formula

Least Common Multiple of 228,3711 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 228,3711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,3711) = 3

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

GCF(228,3711) x common factors =3 x 1 = 3

LCM(228,3711) = ( 228 × 3711 ) / 3

LCM(228,3711) = 846108 / 3

LCM(228,3711) = 282036


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FAQs on GCF of Fractions of 28/228, 5527/3711

1. What is the HCF of 28,5527?

The HCF of 28,5527 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 28/228, 5527/3711?

Answer: GCF of Numerators as per given numbers 28/228, 5527/3711 is

GCF of Numerators i.e. for 28,5527 is 1

LCM of denominators i.e. for 228,3711 is 282036.

Thus, GCF of Fractions is 1/282036.Finally, GCF of Fractions for 28/228, 5527/3711 is 1/282036.