How to Find GCF of 20/233, 8876/5477?

GCF of 20/233, 8876/5477

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 20/233, 8876/5477 i.e 4/1276141 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/233, 8876/5477.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 20/233,8876/5477?

Given fractions are 20/233,8876/5477

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 20/233,8876/5477, numerators are 20,8876

Denominators are 233,5477

The GCF of 20,8876 is 4 .

LCM of 233,5477 is 1276141.

The greatest common factor of 20/233,8876/5477 = [GCF of 20,8876]/[LCM of 233,5477]= 4/1276141

Therefore, the GCF of 20/233,8876/5477 is 4/1276141.

Greatest Common Factor of 20,8876

To find the highest common factor of 20,8876, we have to find the factors of both numbers and list the highest common factor.

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 8876 are 1, 2, 4, 7, 14, 28, 317, 634, 1268, 2219, 4438, 8876

The HCF of 20,8876 is 4.

Lets's calculate GCF of 20,8876

Greatest Common Factor (GCF) of 20,8876 By Common Division

2	20, 8876
2	10, 4438
	5, 2219

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 20,8876 By Matching Biggest Common Factor Method

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 8876

1,2,4,7,14,28,317,634,1268,2219,4438,8876

Greatest Common Factor

We found the factors 20,8876 . The biggest common factor number is the GCF number.
So the greatest common factor 20,8876 is 4.

Lets's calculate LCM of 233,5477

Lowest Common Multiple of 233,5477 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1276141

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1276141

Therefore, the GCF of Fractions 20/233,8876/5477 is 4/1276141

Least Common Multiple of 233,5477 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 233,5477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,5477) = 1

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

GCF(233,5477) x common factors =1 x 1 = 1

LCM(233,5477) = ( 233 × 5477 ) / 1

LCM(233,5477) = 1276141 / 1

LCM(233,5477) = 1276141

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 20/233, 8876/5477

1. What is the HCF of 20,8876?

The HCF of 20,8876 is 4

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 20/233, 8876/5477?

Answer: GCF of Numerators as per given numbers 20/233, 8876/5477 is

GCF of Numerators i.e. for 20,8876 is 4

LCM of denominators i.e. for 233,5477 is 1276141.

Thus, GCF of Fractions is 4/1276141.Finally, GCF of Fractions for 20/233, 8876/5477 is 4/1276141.