How to Find GCF of 4592/581, 8872/6868?

GCF of 4592/581, 8872/6868

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 4592/581, 8872/6868 i.e 8/3990308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4592/581, 8872/6868.

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 4592/581,8872/6868?

Given fractions are 4592/581,8872/6868

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 4592/581,8872/6868, numerators are 4592,8872

Denominators are 581,6868

The GCF of 4592,8872 is 8 .

LCM of 581,6868 is 3990308.

The greatest common factor of 4592/581,8872/6868 = [GCF of 4592,8872]/[LCM of 581,6868]= 8/3990308

Therefore, the GCF of 4592/581,8872/6868 is 8/3990308.

Greatest Common Factor of 4592,8872

To find the highest common factor of 4592,8872, we have to find the factors of both numbers and list the highest common factor.

The factors of 4592 are 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592

The factors of 8872 are 1, 2, 4, 8, 1109, 2218, 4436, 8872

The HCF of 4592,8872 is 8.

Lets's calculate GCF of 4592,8872

Greatest Common Factor (GCF) of 4592,8872 By Common Division

2	4592, 8872
2	2296, 4436
2	1148, 2218
	574, 1109

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

Greatest Common Factor of 4592,8872 By Matching Biggest Common Factor Method

Now, list down the factors of 4592

1,2,4,7,8,14,16,28,41,56,82,112,164,287,328,574,656,1148,2296,4592

Now, list down the factors of 8872

1,2,4,8,1109,2218,4436,8872

Greatest Common Factor

We found the factors 4592,8872 . The biggest common factor number is the GCF number.
So the greatest common factor 4592,8872 is 8.

Lets's calculate LCM of 581,6868

Lowest Common Multiple of 581,6868 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3990308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3990308

Therefore, the GCF of Fractions 4592/581,8872/6868 is 8/3990308

Least Common Multiple of 581,6868 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 581,6868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,6868) = 1

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

GCF(581,6868) x common factors =1 x 1 = 1

LCM(581,6868) = ( 581 × 6868 ) / 1

LCM(581,6868) = 3990308 / 1

LCM(581,6868) = 3990308

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FAQs on GCF of Fractions of 4592/581, 8872/6868

1. What is the HCF of 4592,8872?

The HCF of 4592,8872 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 4592/581, 8872/6868?

Answer: GCF of Numerators as per given numbers 4592/581, 8872/6868 is

GCF of Numerators i.e. for 4592,8872 is 8

LCM of denominators i.e. for 581,6868 is 3990308.

Thus, GCF of Fractions is 8/3990308.Finally, GCF of Fractions for 4592/581, 8872/6868 is 8/3990308.