How to Find GCF of 8441/767, 3634/3882?

GCF of 8441/767, 3634/3882

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 8441/767, 3634/3882 i.e 23/2977494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8441/767, 3634/3882.

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 8441/767,3634/3882?

Given fractions are 8441/767,3634/3882

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 8441/767,3634/3882, numerators are 8441,3634

Denominators are 767,3882

The GCF of 8441,3634 is 23 .

LCM of 767,3882 is 2977494.

The greatest common factor of 8441/767,3634/3882 = [GCF of 8441,3634]/[LCM of 767,3882]= 23/2977494

Therefore, the GCF of 8441/767,3634/3882 is 23/2977494.

Greatest Common Factor of 8441,3634

To find the highest common factor of 8441,3634, we have to find the factors of both numbers and list the highest common factor.

The factors of 8441 are 1, 23, 367, 8441

The factors of 3634 are 1, 2, 23, 46, 79, 158, 1817, 3634

The HCF of 8441,3634 is 23.

Lets's calculate GCF of 8441,3634

Greatest Common Factor (GCF) of 8441,3634 By Common Division

23	8441, 3634
	367, 158

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 8441,3634 By Matching Biggest Common Factor Method

Now, list down the factors of 8441

1,23,367,8441

Now, list down the factors of 3634

1,2,23,46,79,158,1817,3634

Greatest Common Factor

We found the factors 8441,3634 . The biggest common factor number is the GCF number.
So the greatest common factor 8441,3634 is 23.

Lets's calculate LCM of 767,3882

Lowest Common Multiple of 767,3882 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2977494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/2977494

Therefore, the GCF of Fractions 8441/767,3634/3882 is 23/2977494

Least Common Multiple of 767,3882 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 767,3882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,3882) = 1

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

GCF(767,3882) x common factors =1 x 1 = 1

LCM(767,3882) = ( 767 × 3882 ) / 1

LCM(767,3882) = 2977494 / 1

LCM(767,3882) = 2977494

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FAQs on GCF of Fractions of 8441/767, 3634/3882

1. What is the HCF of 8441,3634?

The HCF of 8441,3634 is 23

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 8441/767, 3634/3882?

Answer: GCF of Numerators as per given numbers 8441/767, 3634/3882 is

GCF of Numerators i.e. for 8441,3634 is 23

LCM of denominators i.e. for 767,3882 is 2977494.

Thus, GCF of Fractions is 23/2977494.Finally, GCF of Fractions for 8441/767, 3634/3882 is 23/2977494.