How to Find GCF of 5072/285, 1882/8143?

GCF of 5072/285, 1882/8143

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 5072/285, 1882/8143 i.e 2/2320755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5072/285, 1882/8143.

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 5072/285,1882/8143?

Given fractions are 5072/285,1882/8143

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 5072/285,1882/8143, numerators are 5072,1882

Denominators are 285,8143

The GCF of 5072,1882 is 2 .

LCM of 285,8143 is 2320755.

The greatest common factor of 5072/285,1882/8143 = [GCF of 5072,1882]/[LCM of 285,8143]= 2/2320755

Therefore, the GCF of 5072/285,1882/8143 is 2/2320755.

Greatest Common Factor of 5072,1882

To find the highest common factor of 5072,1882, we have to find the factors of both numbers and list the highest common factor.

The factors of 5072 are 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072

The factors of 1882 are 1, 2, 941, 1882

The HCF of 5072,1882 is 2.

Lets's calculate GCF of 5072,1882

Greatest Common Factor (GCF) of 5072,1882 By Common Division

2	5072, 1882
	2536, 941

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

Greatest Common Factor of 5072,1882 By Matching Biggest Common Factor Method

Now, list down the factors of 5072

1,2,4,8,16,317,634,1268,2536,5072

Now, list down the factors of 1882

1,2,941,1882

Greatest Common Factor

We found the factors 5072,1882 . The biggest common factor number is the GCF number.
So the greatest common factor 5072,1882 is 2.

Lets's calculate LCM of 285,8143

Lowest Common Multiple of 285,8143 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2320755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2320755

Therefore, the GCF of Fractions 5072/285,1882/8143 is 2/2320755

Least Common Multiple of 285,8143 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 285,8143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,8143) = 1

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

GCF(285,8143) x common factors =1 x 1 = 1

LCM(285,8143) = ( 285 × 8143 ) / 1

LCM(285,8143) = 2320755 / 1

LCM(285,8143) = 2320755

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5072/285, 1882/8143

1. What is the HCF of 5072,1882?

The HCF of 5072,1882 is 2

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 5072/285, 1882/8143?

Answer: GCF of Numerators as per given numbers 5072/285, 1882/8143 is

GCF of Numerators i.e. for 5072,1882 is 2

LCM of denominators i.e. for 285,8143 is 2320755.

Thus, GCF of Fractions is 2/2320755.Finally, GCF of Fractions for 5072/285, 1882/8143 is 2/2320755.