How to Find GCF of 9113/604, 5505/8756?

GCF of 9113/604, 5505/8756

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 9113/604, 5505/8756 i.e 1/1322156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9113/604, 5505/8756.

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 9113/604,5505/8756?

Given fractions are 9113/604,5505/8756

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 9113/604,5505/8756, numerators are 9113,5505

Denominators are 604,8756

The GCF of 9113,5505 is 1 .

LCM of 604,8756 is 1322156.

The greatest common factor of 9113/604,5505/8756 = [GCF of 9113,5505]/[LCM of 604,8756]= 1/1322156

Therefore, the GCF of 9113/604,5505/8756 is 1/1322156.

Greatest Common Factor of 9113,5505

To find the highest common factor of 9113,5505, we have to find the factors of both numbers and list the highest common factor.

The factors of 9113 are 1, 13, 701, 9113

The factors of 5505 are 1, 3, 5, 15, 367, 1101, 1835, 5505

The HCF of 9113,5505 is 1.

Lets's calculate GCF of 9113,5505

Greatest Common Factor (GCF) of 9113,5505 By Common Division

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

Greatest Common Factor of 9113,5505 By Matching Biggest Common Factor Method

Now, list down the factors of 9113

1,13,701,9113

Now, list down the factors of 5505

1,3,5,15,367,1101,1835,5505

Greatest Common Factor

We found the factors 9113,5505 . The biggest common factor number is the GCF number.
So the greatest common factor 9113,5505 is 1.

Lets's calculate LCM of 604,8756

Lowest Common Multiple of 604,8756 using Common Division

2	604, 8756
2	302, 4378
	151, 2189

∴ So the LCM of the given numbers is 2 x 2 x 151 x 2189 = 1322156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1322156

Therefore, the GCF of Fractions 9113/604,5505/8756 is 1/1322156

Least Common Multiple of 604,8756 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 604,8756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,8756) = 4

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

GCF(604,8756) x common factors =4 x 1 = 4

LCM(604,8756) = ( 604 × 8756 ) / 4

LCM(604,8756) = 5288624 / 4

LCM(604,8756) = 1322156

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9113/604, 5505/8756

1. What is the HCF of 9113,5505?

The HCF of 9113,5505 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 9113/604, 5505/8756?

Answer: GCF of Numerators as per given numbers 9113/604, 5505/8756 is

GCF of Numerators i.e. for 9113,5505 is 1

LCM of denominators i.e. for 604,8756 is 1322156.

Thus, GCF of Fractions is 1/1322156.Finally, GCF of Fractions for 9113/604, 5505/8756 is 1/1322156.