How to Find GCF of 5533/91, 8084/624?

GCF of 5533/91, 8084/624

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 5533/91, 8084/624 i.e 1/4368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5533/91, 8084/624.

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 5533/91,8084/624?

Given fractions are 5533/91,8084/624

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 5533/91,8084/624, numerators are 5533,8084

Denominators are 91,624

The GCF of 5533,8084 is 1 .

LCM of 91,624 is 4368.

The greatest common factor of 5533/91,8084/624 = [GCF of 5533,8084]/[LCM of 91,624]= 1/4368

Therefore, the GCF of 5533/91,8084/624 is 1/4368.

Greatest Common Factor of 5533,8084

To find the highest common factor of 5533,8084, we have to find the factors of both numbers and list the highest common factor.

The factors of 5533 are 1, 11, 503, 5533

The factors of 8084 are 1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084

The HCF of 5533,8084 is 1.

Lets's calculate GCF of 5533,8084

Greatest Common Factor (GCF) of 5533,8084 By Common Division

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

Greatest Common Factor of 5533,8084 By Matching Biggest Common Factor Method

Now, list down the factors of 5533

1,11,503,5533

Now, list down the factors of 8084

1,2,4,43,47,86,94,172,188,2021,4042,8084

Greatest Common Factor

We found the factors 5533,8084 . The biggest common factor number is the GCF number.
So the greatest common factor 5533,8084 is 1.

Lets's calculate LCM of 91,624

Lowest Common Multiple of 91,624 using Common Division

13	91, 624
	7, 48

∴ So the LCM of the given numbers is 13 x 7 x 48 = 4368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4368

Therefore, the GCF of Fractions 5533/91,8084/624 is 1/4368

Least Common Multiple of 91,624 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 91,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,624) = 13

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

GCF(91,624) x common factors =13 x 1 = 13

LCM(91,624) = ( 91 × 624 ) / 13

LCM(91,624) = 56784 / 13

LCM(91,624) = 4368

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FAQs on GCF of Fractions of 5533/91, 8084/624

1. What is the HCF of 5533,8084?

The HCF of 5533,8084 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 5533/91, 8084/624?

Answer: GCF of Numerators as per given numbers 5533/91, 8084/624 is

GCF of Numerators i.e. for 5533,8084 is 1

LCM of denominators i.e. for 91,624 is 4368.

Thus, GCF of Fractions is 1/4368.Finally, GCF of Fractions for 5533/91, 8084/624 is 1/4368.