How to Find GCF of 4366/469, 4582/8865?

GCF of 4366/469, 4582/8865

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 4366/469, 4582/8865 i.e 2/4157685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4366/469, 4582/8865.

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 4366/469,4582/8865?

Given fractions are 4366/469,4582/8865

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 4366/469,4582/8865, numerators are 4366,4582

Denominators are 469,8865

The GCF of 4366,4582 is 2 .

LCM of 469,8865 is 4157685.

The greatest common factor of 4366/469,4582/8865 = [GCF of 4366,4582]/[LCM of 469,8865]= 2/4157685

Therefore, the GCF of 4366/469,4582/8865 is 2/4157685.

Greatest Common Factor of 4366,4582

To find the highest common factor of 4366,4582, we have to find the factors of both numbers and list the highest common factor.

The factors of 4366 are 1, 2, 37, 59, 74, 118, 2183, 4366

The factors of 4582 are 1, 2, 29, 58, 79, 158, 2291, 4582

The HCF of 4366,4582 is 2.

Lets's calculate GCF of 4366,4582

Greatest Common Factor (GCF) of 4366,4582 By Common Division

2	4366, 4582
	2183, 2291

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

Greatest Common Factor of 4366,4582 By Matching Biggest Common Factor Method

Now, list down the factors of 4366

1,2,37,59,74,118,2183,4366

Now, list down the factors of 4582

1,2,29,58,79,158,2291,4582

Greatest Common Factor

We found the factors 4366,4582 . The biggest common factor number is the GCF number.
So the greatest common factor 4366,4582 is 2.

Lets's calculate LCM of 469,8865

Lowest Common Multiple of 469,8865 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4157685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4157685

Therefore, the GCF of Fractions 4366/469,4582/8865 is 2/4157685

Least Common Multiple of 469,8865 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 469,8865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,8865) = 1

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

GCF(469,8865) x common factors =1 x 1 = 1

LCM(469,8865) = ( 469 × 8865 ) / 1

LCM(469,8865) = 4157685 / 1

LCM(469,8865) = 4157685

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FAQs on GCF of Fractions of 4366/469, 4582/8865

1. What is the HCF of 4366,4582?

The HCF of 4366,4582 is 2

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 4366/469, 4582/8865?

Answer: GCF of Numerators as per given numbers 4366/469, 4582/8865 is

GCF of Numerators i.e. for 4366,4582 is 2

LCM of denominators i.e. for 469,8865 is 4157685.

Thus, GCF of Fractions is 2/4157685.Finally, GCF of Fractions for 4366/469, 4582/8865 is 2/4157685.