How to Find GCF of 831/864, 4186/4640?

GCF of 831/864, 4186/4640

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 831/864, 4186/4640 i.e 1/125280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 831/864, 4186/4640.

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 831/864,4186/4640?

Given fractions are 831/864,4186/4640

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 831/864,4186/4640, numerators are 831,4186

Denominators are 864,4640

The GCF of 831,4186 is 1 .

LCM of 864,4640 is 125280.

The greatest common factor of 831/864,4186/4640 = [GCF of 831,4186]/[LCM of 864,4640]= 1/125280

Therefore, the GCF of 831/864,4186/4640 is 1/125280.

Greatest Common Factor of 831,4186

To find the highest common factor of 831,4186, we have to find the factors of both numbers and list the highest common factor.

The factors of 831 are 1, 3, 277, 831

The factors of 4186 are 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093, 4186

The HCF of 831,4186 is 1.

Lets's calculate GCF of 831,4186

Greatest Common Factor (GCF) of 831,4186 By Common Division

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

Greatest Common Factor of 831,4186 By Matching Biggest Common Factor Method

Now, list down the factors of 831

1,3,277,831

Now, list down the factors of 4186

1,2,7,13,14,23,26,46,91,161,182,299,322,598,2093,4186

Greatest Common Factor

We found the factors 831,4186 . The biggest common factor number is the GCF number.
So the greatest common factor 831,4186 is 1.

Lets's calculate LCM of 864,4640

Lowest Common Multiple of 864,4640 using Common Division

2	864, 4640
2	432, 2320
2	216, 1160
2	108, 580
2	54, 290
	27, 145

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 27 x 145 = 125280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125280

Therefore, the GCF of Fractions 831/864,4186/4640 is 1/125280

Least Common Multiple of 864,4640 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 864,4640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,4640) = 32

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

GCF(864,4640) x common factors =32 x 1 = 32

LCM(864,4640) = ( 864 × 4640 ) / 32

LCM(864,4640) = 4008960 / 32

LCM(864,4640) = 125280

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FAQs on GCF of Fractions of 831/864, 4186/4640

1. What is the HCF of 831,4186?

The HCF of 831,4186 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 831/864, 4186/4640?

Answer: GCF of Numerators as per given numbers 831/864, 4186/4640 is

GCF of Numerators i.e. for 831,4186 is 1

LCM of denominators i.e. for 864,4640 is 125280.

Thus, GCF of Fractions is 1/125280.Finally, GCF of Fractions for 831/864, 4186/4640 is 1/125280.