How to Find GCF of 5172/181, 4776/911?

GCF of 5172/181, 4776/911

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 5172/181, 4776/911 i.e 12/164891 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5172/181, 4776/911.

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 5172/181,4776/911?

Given fractions are 5172/181,4776/911

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 5172/181,4776/911, numerators are 5172,4776

Denominators are 181,911

The GCF of 5172,4776 is 12 .

LCM of 181,911 is 164891.

The greatest common factor of 5172/181,4776/911 = [GCF of 5172,4776]/[LCM of 181,911]= 12/164891

Therefore, the GCF of 5172/181,4776/911 is 12/164891.

Greatest Common Factor of 5172,4776

To find the highest common factor of 5172,4776, we have to find the factors of both numbers and list the highest common factor.

The factors of 5172 are 1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172

The factors of 4776 are 1, 2, 3, 4, 6, 8, 12, 24, 199, 398, 597, 796, 1194, 1592, 2388, 4776

The HCF of 5172,4776 is 12.

Lets's calculate GCF of 5172,4776

Greatest Common Factor (GCF) of 5172,4776 By Common Division

2	5172, 4776
2	2586, 2388
3	1293, 1194
	431, 398

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 5172,4776 By Matching Biggest Common Factor Method

Now, list down the factors of 5172

1,2,3,4,6,12,431,862,1293,1724,2586,5172

Now, list down the factors of 4776

1,2,3,4,6,8,12,24,199,398,597,796,1194,1592,2388,4776

Greatest Common Factor

We found the factors 5172,4776 . The biggest common factor number is the GCF number.
So the greatest common factor 5172,4776 is 12.

Lets's calculate LCM of 181,911

Lowest Common Multiple of 181,911 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 164891

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/164891

Therefore, the GCF of Fractions 5172/181,4776/911 is 12/164891

Least Common Multiple of 181,911 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 181,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,911) = 1

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

GCF(181,911) x common factors =1 x 1 = 1

LCM(181,911) = ( 181 × 911 ) / 1

LCM(181,911) = 164891 / 1

LCM(181,911) = 164891

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FAQs on GCF of Fractions of 5172/181, 4776/911

1. What is the HCF of 5172,4776?

The HCF of 5172,4776 is 12

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 5172/181, 4776/911?

Answer: GCF of Numerators as per given numbers 5172/181, 4776/911 is

GCF of Numerators i.e. for 5172,4776 is 12

LCM of denominators i.e. for 181,911 is 164891.

Thus, GCF of Fractions is 12/164891.Finally, GCF of Fractions for 5172/181, 4776/911 is 12/164891.