How to Find GCF of 5119/988, 7473/8752?

GCF of 5119/988, 7473/8752

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 5119/988, 7473/8752 i.e 1/2161744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5119/988, 7473/8752.

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 5119/988,7473/8752?

Given fractions are 5119/988,7473/8752

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 5119/988,7473/8752, numerators are 5119,7473

Denominators are 988,8752

The GCF of 5119,7473 is 1 .

LCM of 988,8752 is 2161744.

The greatest common factor of 5119/988,7473/8752 = [GCF of 5119,7473]/[LCM of 988,8752]= 1/2161744

Therefore, the GCF of 5119/988,7473/8752 is 1/2161744.

Greatest Common Factor of 5119,7473

To find the highest common factor of 5119,7473, we have to find the factors of both numbers and list the highest common factor.

The factors of 5119 are 1, 5119

The factors of 7473 are 1, 3, 47, 53, 141, 159, 2491, 7473

The HCF of 5119,7473 is 1.

Lets's calculate GCF of 5119,7473

Greatest Common Factor (GCF) of 5119,7473 By Common Division

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

Greatest Common Factor of 5119,7473 By Matching Biggest Common Factor Method

Now, list down the factors of 5119

1,5119

Now, list down the factors of 7473

1,3,47,53,141,159,2491,7473

Greatest Common Factor

We found the factors 5119,7473 . The biggest common factor number is the GCF number.
So the greatest common factor 5119,7473 is 1.

Lets's calculate LCM of 988,8752

Lowest Common Multiple of 988,8752 using Common Division

2	988, 8752
2	494, 4376
	247, 2188

∴ So the LCM of the given numbers is 2 x 2 x 247 x 2188 = 2161744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2161744

Therefore, the GCF of Fractions 5119/988,7473/8752 is 1/2161744

Least Common Multiple of 988,8752 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 988,8752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,8752) = 4

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

GCF(988,8752) x common factors =4 x 1 = 4

LCM(988,8752) = ( 988 × 8752 ) / 4

LCM(988,8752) = 8646976 / 4

LCM(988,8752) = 2161744

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5119/988, 7473/8752

1. What is the HCF of 5119,7473?

The HCF of 5119,7473 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 5119/988, 7473/8752?

Answer: GCF of Numerators as per given numbers 5119/988, 7473/8752 is

GCF of Numerators i.e. for 5119,7473 is 1

LCM of denominators i.e. for 988,8752 is 2161744.

Thus, GCF of Fractions is 1/2161744.Finally, GCF of Fractions for 5119/988, 7473/8752 is 1/2161744.