How to Find GCF of 7183/482, 9872/5089?

GCF of 7183/482, 9872/5089

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 7183/482, 9872/5089 i.e 1/2452898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7183/482, 9872/5089.

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 7183/482,9872/5089?

Given fractions are 7183/482,9872/5089

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 7183/482,9872/5089, numerators are 7183,9872

Denominators are 482,5089

The GCF of 7183,9872 is 1 .

LCM of 482,5089 is 2452898.

The greatest common factor of 7183/482,9872/5089 = [GCF of 7183,9872]/[LCM of 482,5089]= 1/2452898

Therefore, the GCF of 7183/482,9872/5089 is 1/2452898.

Greatest Common Factor of 7183,9872

To find the highest common factor of 7183,9872, we have to find the factors of both numbers and list the highest common factor.

The factors of 7183 are 1, 11, 653, 7183

The factors of 9872 are 1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872

The HCF of 7183,9872 is 1.

Lets's calculate GCF of 7183,9872

Greatest Common Factor (GCF) of 7183,9872 By Common Division

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

Greatest Common Factor of 7183,9872 By Matching Biggest Common Factor Method

Now, list down the factors of 7183

1,11,653,7183

Now, list down the factors of 9872

1,2,4,8,16,617,1234,2468,4936,9872

Greatest Common Factor

We found the factors 7183,9872 . The biggest common factor number is the GCF number.
So the greatest common factor 7183,9872 is 1.

Lets's calculate LCM of 482,5089

Lowest Common Multiple of 482,5089 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2452898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2452898

Therefore, the GCF of Fractions 7183/482,9872/5089 is 1/2452898

Least Common Multiple of 482,5089 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 482,5089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,5089) = 1

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

GCF(482,5089) x common factors =1 x 1 = 1

LCM(482,5089) = ( 482 × 5089 ) / 1

LCM(482,5089) = 2452898 / 1

LCM(482,5089) = 2452898

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FAQs on GCF of Fractions of 7183/482, 9872/5089

1. What is the HCF of 7183,9872?

The HCF of 7183,9872 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 7183/482, 9872/5089?

Answer: GCF of Numerators as per given numbers 7183/482, 9872/5089 is

GCF of Numerators i.e. for 7183,9872 is 1

LCM of denominators i.e. for 482,5089 is 2452898.

Thus, GCF of Fractions is 1/2452898.Finally, GCF of Fractions for 7183/482, 9872/5089 is 1/2452898.