How to Find GCF of 9309/276, 9475/1058?

GCF of 9309/276, 9475/1058

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 9309/276, 9475/1058 i.e 1/6348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9309/276, 9475/1058.

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 9309/276,9475/1058?

Given fractions are 9309/276,9475/1058

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 9309/276,9475/1058, numerators are 9309,9475

Denominators are 276,1058

The GCF of 9309,9475 is 1 .

LCM of 276,1058 is 6348.

The greatest common factor of 9309/276,9475/1058 = [GCF of 9309,9475]/[LCM of 276,1058]= 1/6348

Therefore, the GCF of 9309/276,9475/1058 is 1/6348.

Greatest Common Factor of 9309,9475

To find the highest common factor of 9309,9475, we have to find the factors of both numbers and list the highest common factor.

The factors of 9309 are 1, 3, 29, 87, 107, 321, 3103, 9309

The factors of 9475 are 1, 5, 25, 379, 1895, 9475

The HCF of 9309,9475 is 1.

Lets's calculate GCF of 9309,9475

Greatest Common Factor (GCF) of 9309,9475 By Common Division

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

Greatest Common Factor of 9309,9475 By Matching Biggest Common Factor Method

Now, list down the factors of 9309

1,3,29,87,107,321,3103,9309

Now, list down the factors of 9475

1,5,25,379,1895,9475

Greatest Common Factor

We found the factors 9309,9475 . The biggest common factor number is the GCF number.
So the greatest common factor 9309,9475 is 1.

Lets's calculate LCM of 276,1058

Lowest Common Multiple of 276,1058 using Common Division

2	276, 1058
23	138, 529
	6, 23

∴ So the LCM of the given numbers is 2 x 23 x 6 x 23 = 6348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6348

Therefore, the GCF of Fractions 9309/276,9475/1058 is 1/6348

Least Common Multiple of 276,1058 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 276,1058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,1058) = 46

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

GCF(276,1058) x common factors =46 x 1 = 46

LCM(276,1058) = ( 276 × 1058 ) / 46

LCM(276,1058) = 292008 / 46

LCM(276,1058) = 6348

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FAQs on GCF of Fractions of 9309/276, 9475/1058

1. What is the HCF of 9309,9475?

The HCF of 9309,9475 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 9309/276, 9475/1058?

Answer: GCF of Numerators as per given numbers 9309/276, 9475/1058 is

GCF of Numerators i.e. for 9309,9475 is 1

LCM of denominators i.e. for 276,1058 is 6348.

Thus, GCF of Fractions is 1/6348.Finally, GCF of Fractions for 9309/276, 9475/1058 is 1/6348.