How to Find GCF of 4856/795, 2288/4784?

GCF of 4856/795, 2288/4784

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 4856/795, 2288/4784 i.e 8/3803280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4856/795, 2288/4784.

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 4856/795,2288/4784?

Given fractions are 4856/795,2288/4784

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 4856/795,2288/4784, numerators are 4856,2288

Denominators are 795,4784

The GCF of 4856,2288 is 8 .

LCM of 795,4784 is 3803280.

The greatest common factor of 4856/795,2288/4784 = [GCF of 4856,2288]/[LCM of 795,4784]= 8/3803280

Therefore, the GCF of 4856/795,2288/4784 is 8/3803280.

Greatest Common Factor of 4856,2288

To find the highest common factor of 4856,2288, we have to find the factors of both numbers and list the highest common factor.

The factors of 4856 are 1, 2, 4, 8, 607, 1214, 2428, 4856

The factors of 2288 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208, 286, 572, 1144, 2288

The HCF of 4856,2288 is 8.

Lets's calculate GCF of 4856,2288

Greatest Common Factor (GCF) of 4856,2288 By Common Division

2	4856, 2288
2	2428, 1144
2	1214, 572
	607, 286

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

Greatest Common Factor of 4856,2288 By Matching Biggest Common Factor Method

Now, list down the factors of 4856

1,2,4,8,607,1214,2428,4856

Now, list down the factors of 2288

1,2,4,8,11,13,16,22,26,44,52,88,104,143,176,208,286,572,1144,2288

Greatest Common Factor

We found the factors 4856,2288 . The biggest common factor number is the GCF number.
So the greatest common factor 4856,2288 is 8.

Lets's calculate LCM of 795,4784

Lowest Common Multiple of 795,4784 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3803280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3803280

Therefore, the GCF of Fractions 4856/795,2288/4784 is 8/3803280

Least Common Multiple of 795,4784 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 795,4784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,4784) = 1

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

GCF(795,4784) x common factors =1 x 1 = 1

LCM(795,4784) = ( 795 × 4784 ) / 1

LCM(795,4784) = 3803280 / 1

LCM(795,4784) = 3803280

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FAQs on GCF of Fractions of 4856/795, 2288/4784

1. What is the HCF of 4856,2288?

The HCF of 4856,2288 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 4856/795, 2288/4784?

Answer: GCF of Numerators as per given numbers 4856/795, 2288/4784 is

GCF of Numerators i.e. for 4856,2288 is 8

LCM of denominators i.e. for 795,4784 is 3803280.

Thus, GCF of Fractions is 8/3803280.Finally, GCF of Fractions for 4856/795, 2288/4784 is 8/3803280.