How to Find GCF of 7276/171, 4876/9909?

GCF of 7276/171, 4876/9909

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 7276/171, 4876/9909 i.e 4/188271 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7276/171, 4876/9909.

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 7276/171,4876/9909?

Given fractions are 7276/171,4876/9909

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 7276/171,4876/9909, numerators are 7276,4876

Denominators are 171,9909

The GCF of 7276,4876 is 4 .

LCM of 171,9909 is 188271.

The greatest common factor of 7276/171,4876/9909 = [GCF of 7276,4876]/[LCM of 171,9909]= 4/188271

Therefore, the GCF of 7276/171,4876/9909 is 4/188271.

Greatest Common Factor of 7276,4876

To find the highest common factor of 7276,4876, we have to find the factors of both numbers and list the highest common factor.

The factors of 7276 are 1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276

The factors of 4876 are 1, 2, 4, 23, 46, 53, 92, 106, 212, 1219, 2438, 4876

The HCF of 7276,4876 is 4.

Lets's calculate GCF of 7276,4876

Greatest Common Factor (GCF) of 7276,4876 By Common Division

2	7276, 4876
2	3638, 2438
	1819, 1219

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7276,4876 By Matching Biggest Common Factor Method

Now, list down the factors of 7276

1,2,4,17,34,68,107,214,428,1819,3638,7276

Now, list down the factors of 4876

1,2,4,23,46,53,92,106,212,1219,2438,4876

Greatest Common Factor

We found the factors 7276,4876 . The biggest common factor number is the GCF number.
So the greatest common factor 7276,4876 is 4.

Lets's calculate LCM of 171,9909

Lowest Common Multiple of 171,9909 using Common Division

3	171, 9909
3	57, 3303
	19, 1101

∴ So the LCM of the given numbers is 3 x 3 x 19 x 1101 = 188271

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/188271

Therefore, the GCF of Fractions 7276/171,4876/9909 is 4/188271

Least Common Multiple of 171,9909 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 171,9909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,9909) = 9

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

GCF(171,9909) x common factors =9 x 1 = 9

LCM(171,9909) = ( 171 × 9909 ) / 9

LCM(171,9909) = 1694439 / 9

LCM(171,9909) = 188271

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FAQs on GCF of Fractions of 7276/171, 4876/9909

1. What is the HCF of 7276,4876?

The HCF of 7276,4876 is 4

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 7276/171, 4876/9909?

Answer: GCF of Numerators as per given numbers 7276/171, 4876/9909 is

GCF of Numerators i.e. for 7276,4876 is 4

LCM of denominators i.e. for 171,9909 is 188271.

Thus, GCF of Fractions is 4/188271.Finally, GCF of Fractions for 7276/171, 4876/9909 is 4/188271.