How to Find GCF of 4481/712, 6086/8604?

GCF of 4481/712, 6086/8604

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 4481/712, 6086/8604 i.e 1/1531512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4481/712, 6086/8604.

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 4481/712,6086/8604?

Given fractions are 4481/712,6086/8604

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 4481/712,6086/8604, numerators are 4481,6086

Denominators are 712,8604

The GCF of 4481,6086 is 1 .

LCM of 712,8604 is 1531512.

The greatest common factor of 4481/712,6086/8604 = [GCF of 4481,6086]/[LCM of 712,8604]= 1/1531512

Therefore, the GCF of 4481/712,6086/8604 is 1/1531512.

Greatest Common Factor of 4481,6086

To find the highest common factor of 4481,6086, we have to find the factors of both numbers and list the highest common factor.

The factors of 4481 are 1, 4481

The factors of 6086 are 1, 2, 17, 34, 179, 358, 3043, 6086

The HCF of 4481,6086 is 1.

Lets's calculate GCF of 4481,6086

Greatest Common Factor (GCF) of 4481,6086 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4481,6086 By Matching Biggest Common Factor Method

Now, list down the factors of 4481

1,4481

Now, list down the factors of 6086

1,2,17,34,179,358,3043,6086

Greatest Common Factor

We found the factors 4481,6086 . The biggest common factor number is the GCF number.
So the greatest common factor 4481,6086 is 1.

Lets's calculate LCM of 712,8604

Lowest Common Multiple of 712,8604 using Common Division

2	712, 8604
2	356, 4302
	178, 2151

∴ So the LCM of the given numbers is 2 x 2 x 178 x 2151 = 1531512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1531512

Therefore, the GCF of Fractions 4481/712,6086/8604 is 1/1531512

Least Common Multiple of 712,8604 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 712,8604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,8604) = 4

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

GCF(712,8604) x common factors =4 x 1 = 4

LCM(712,8604) = ( 712 × 8604 ) / 4

LCM(712,8604) = 6126048 / 4

LCM(712,8604) = 1531512

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FAQs on GCF of Fractions of 4481/712, 6086/8604

1. What is the HCF of 4481,6086?

The HCF of 4481,6086 is 1

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 4481/712, 6086/8604?

Answer: GCF of Numerators as per given numbers 4481/712, 6086/8604 is

GCF of Numerators i.e. for 4481,6086 is 1

LCM of denominators i.e. for 712,8604 is 1531512.

Thus, GCF of Fractions is 1/1531512.Finally, GCF of Fractions for 4481/712, 6086/8604 is 1/1531512.