How to Find GCF of 5295/300, 3331/9316?

GCF of 5295/300, 3331/9316

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 5295/300, 3331/9316 i.e 1/698700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5295/300, 3331/9316.

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 5295/300,3331/9316?

Given fractions are 5295/300,3331/9316

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 5295/300,3331/9316, numerators are 5295,3331

Denominators are 300,9316

The GCF of 5295,3331 is 1 .

LCM of 300,9316 is 698700.

The greatest common factor of 5295/300,3331/9316 = [GCF of 5295,3331]/[LCM of 300,9316]= 1/698700

Therefore, the GCF of 5295/300,3331/9316 is 1/698700.

Greatest Common Factor of 5295,3331

To find the highest common factor of 5295,3331, we have to find the factors of both numbers and list the highest common factor.

The factors of 5295 are 1, 3, 5, 15, 353, 1059, 1765, 5295

The factors of 3331 are 1, 3331

The HCF of 5295,3331 is 1.

Lets's calculate GCF of 5295,3331

Greatest Common Factor (GCF) of 5295,3331 By Common Division

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

Greatest Common Factor of 5295,3331 By Matching Biggest Common Factor Method

Now, list down the factors of 5295

1,3,5,15,353,1059,1765,5295

Now, list down the factors of 3331

1,3331

Greatest Common Factor

We found the factors 5295,3331 . The biggest common factor number is the GCF number.
So the greatest common factor 5295,3331 is 1.

Lets's calculate LCM of 300,9316

Lowest Common Multiple of 300,9316 using Common Division

2	300, 9316
2	150, 4658
	75, 2329

∴ So the LCM of the given numbers is 2 x 2 x 75 x 2329 = 698700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/698700

Therefore, the GCF of Fractions 5295/300,3331/9316 is 1/698700

Least Common Multiple of 300,9316 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 300,9316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,9316) = 4

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

GCF(300,9316) x common factors =4 x 1 = 4

LCM(300,9316) = ( 300 × 9316 ) / 4

LCM(300,9316) = 2794800 / 4

LCM(300,9316) = 698700

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FAQs on GCF of Fractions of 5295/300, 3331/9316

1. What is the HCF of 5295,3331?

The HCF of 5295,3331 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 5295/300, 3331/9316?

Answer: GCF of Numerators as per given numbers 5295/300, 3331/9316 is

GCF of Numerators i.e. for 5295,3331 is 1

LCM of denominators i.e. for 300,9316 is 698700.

Thus, GCF of Fractions is 1/698700.Finally, GCF of Fractions for 5295/300, 3331/9316 is 1/698700.