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GCF of 5563/278, 8999/5198

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 5563/278, 8999/5198 i.e 1/722522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5563/278, 8999/5198.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 5563/278,8999/5198?

Given fractions are 5563/278,8999/5198

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 5563/278,8999/5198, numerators are 5563,8999

Denominators are 278,5198

The GCF of 5563,8999 is 1 .

LCM of 278,5198 is 722522.

The greatest common factor of 5563/278,8999/5198 = [GCF of 5563,8999]/[LCM of 278,5198]= 1/722522

Therefore, the GCF of 5563/278,8999/5198 is 1/722522.

Greatest Common Factor of 5563,8999

To find the highest common factor of 5563,8999, we have to find the factors of both numbers and list the highest common factor.

The factors of 5563 are 1, 5563

The factors of 8999 are 1, 8999

The HCF of 5563,8999 is 1.

Lets's calculate GCF of 5563,8999

Greatest Common Factor (GCF) of 5563,8999 By Common Division

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

Greatest Common Factor of 5563,8999 By Matching Biggest Common Factor Method

Greatest Common Factor of 5563,8999 By Matching Biggest Common Factor Method

Now, list down the factors of 5563

:

1,5563

Now, list down the factors of 8999

:

1,8999

Greatest Common Factor

We found the factors 5563,8999 . The biggest common factor number is the GCF number.
So the greatest common factor 5563,8999 is 1.

Lets's calculate LCM of 278,5198

Lowest Common Multiple of 278,5198 using Common Division

2 278, 5198
139, 2599

∴ So the LCM of the given numbers is 2 x 139 x 2599 = 722522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/722522

Therefore, the GCF of Fractions 5563/278,8999/5198 is 1/722522

Least Common Multiple of 278,5198 with GCF Formula

Least Common Multiple of 278,5198 with GCF Formula

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

We need to calculate greatest common factor of 278,5198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,5198) = 2

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

GCF(278,5198) x common factors =2 x 1 = 2

LCM(278,5198) = ( 278 × 5198 ) / 2

LCM(278,5198) = 1445044 / 2

LCM(278,5198) = 722522


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FAQs on GCF of Fractions of 5563/278, 8999/5198

1. What is the HCF of 5563,8999?

The HCF of 5563,8999 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 5563/278, 8999/5198?

Answer: GCF of Numerators as per given numbers 5563/278, 8999/5198 is

GCF of Numerators i.e. for 5563,8999 is 1

LCM of denominators i.e. for 278,5198 is 722522.

Thus, GCF of Fractions is 1/722522.Finally, GCF of Fractions for 5563/278, 8999/5198 is 1/722522.