How to Find GCF of 2712/182, 3760/4323?

GCF of 2712/182, 3760/4323

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 2712/182, 3760/4323 i.e 8/786786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2712/182, 3760/4323.

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 2712/182,3760/4323?

Given fractions are 2712/182,3760/4323

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 2712/182,3760/4323, numerators are 2712,3760

Denominators are 182,4323

The GCF of 2712,3760 is 8 .

LCM of 182,4323 is 786786.

The greatest common factor of 2712/182,3760/4323 = [GCF of 2712,3760]/[LCM of 182,4323]= 8/786786

Therefore, the GCF of 2712/182,3760/4323 is 8/786786.

Greatest Common Factor of 2712,3760

To find the highest common factor of 2712,3760, we have to find the factors of both numbers and list the highest common factor.

The factors of 2712 are 1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712

The factors of 3760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880, 3760

The HCF of 2712,3760 is 8.

Lets's calculate GCF of 2712,3760

Greatest Common Factor (GCF) of 2712,3760 By Common Division

2	2712, 3760
2	1356, 1880
2	678, 940
	339, 470

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2712,3760 By Matching Biggest Common Factor Method

Now, list down the factors of 2712

1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712

Now, list down the factors of 3760

1,2,4,5,8,10,16,20,40,47,80,94,188,235,376,470,752,940,1880,3760

Greatest Common Factor

We found the factors 2712,3760 . The biggest common factor number is the GCF number.
So the greatest common factor 2712,3760 is 8.

Lets's calculate LCM of 182,4323

Lowest Common Multiple of 182,4323 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 786786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/786786

Therefore, the GCF of Fractions 2712/182,3760/4323 is 8/786786

Least Common Multiple of 182,4323 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 182,4323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,4323) = 1

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

GCF(182,4323) x common factors =1 x 1 = 1

LCM(182,4323) = ( 182 × 4323 ) / 1

LCM(182,4323) = 786786 / 1

LCM(182,4323) = 786786

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2712/182, 3760/4323

1. What is the HCF of 2712,3760?

The HCF of 2712,3760 is 8

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 2712/182, 3760/4323?

Answer: GCF of Numerators as per given numbers 2712/182, 3760/4323 is

GCF of Numerators i.e. for 2712,3760 is 8

LCM of denominators i.e. for 182,4323 is 786786.

Thus, GCF of Fractions is 8/786786.Finally, GCF of Fractions for 2712/182, 3760/4323 is 8/786786.