How to Find GCF of 5032/988, 8542/7220?

GCF of 5032/988, 8542/7220

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 5032/988, 8542/7220 i.e 2/93860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5032/988, 8542/7220.

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 5032/988,8542/7220?

Given fractions are 5032/988,8542/7220

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 5032/988,8542/7220, numerators are 5032,8542

Denominators are 988,7220

The GCF of 5032,8542 is 2 .

LCM of 988,7220 is 93860.

The greatest common factor of 5032/988,8542/7220 = [GCF of 5032,8542]/[LCM of 988,7220]= 2/93860

Therefore, the GCF of 5032/988,8542/7220 is 2/93860.

Greatest Common Factor of 5032,8542

To find the highest common factor of 5032,8542, we have to find the factors of both numbers and list the highest common factor.

The factors of 5032 are 1, 2, 4, 8, 17, 34, 37, 68, 74, 136, 148, 296, 629, 1258, 2516, 5032

The factors of 8542 are 1, 2, 4271, 8542

The HCF of 5032,8542 is 2.

Lets's calculate GCF of 5032,8542

Greatest Common Factor (GCF) of 5032,8542 By Common Division

2	5032, 8542
	2516, 4271

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

Greatest Common Factor of 5032,8542 By Matching Biggest Common Factor Method

Now, list down the factors of 5032

1,2,4,8,17,34,37,68,74,136,148,296,629,1258,2516,5032

Now, list down the factors of 8542

1,2,4271,8542

Greatest Common Factor

We found the factors 5032,8542 . The biggest common factor number is the GCF number.
So the greatest common factor 5032,8542 is 2.

Lets's calculate LCM of 988,7220

Lowest Common Multiple of 988,7220 using Common Division

2	988, 7220
2	494, 3610
19	247, 1805
	13, 95

∴ So the LCM of the given numbers is 2 x 2 x 19 x 13 x 95 = 93860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93860

Therefore, the GCF of Fractions 5032/988,8542/7220 is 2/93860

Least Common Multiple of 988,7220 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 988,7220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,7220) = 76

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

GCF(988,7220) x common factors =76 x 1 = 76

LCM(988,7220) = ( 988 × 7220 ) / 76

LCM(988,7220) = 7133360 / 76

LCM(988,7220) = 93860

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5032/988, 8542/7220

1. What is the HCF of 5032,8542?

The HCF of 5032,8542 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 5032/988, 8542/7220?

Answer: GCF of Numerators as per given numbers 5032/988, 8542/7220 is

GCF of Numerators i.e. for 5032,8542 is 2

LCM of denominators i.e. for 988,7220 is 93860.

Thus, GCF of Fractions is 2/93860.Finally, GCF of Fractions for 5032/988, 8542/7220 is 2/93860.