Greatest Common Factor of 4034/831, 8464/6955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4034/831, 8464/6955

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4034/831,8464/6955

Given fractions are 4034/831,8464/6955

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4034,8464

Greatest Common Factor of Numerators i.e. GCF of 4034,8464 is 2 .

LCM of Denominators means LCM of 831,6955 as per the given fractions.

LCM of 831,6955 is 5779605 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4034,8464

GCF of Fractions 4034/831,8464/6955 is 2/5779605

2 4034, 8464
2017, 4232

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

Greatest Common Factor of 4034,8464 By Matching Biggest Common Factor Method

Greatest Common Factor of 4034,8464 By Matching Biggest Common Factor Method

Factors of 4034

List of positive integer factors of 4034 that divides 4034 without a remainder.

1,2,2017,4034

Factors of 8464

List of positive integer factors of 8464 that divides 8464 without a remainder.

1,2,4,8,16,23,46,92,184,368,529,1058,2116,4232,8464

Greatest Common Factor

We found the factors 4034,8464 . The biggest common factor number is the GCF number.
So the greatest common factor 4034,8464 is 2.

Lets's calculate LCM of 831,6955

Given numbers has no common factors except 1. So, there LCM is their product i.e 5779605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5779605

Therefore, the GCF of Fractions 4034/831,8464/6955 is 2/5779605

Least Common Multiple of 831,6955 with GCF Formula

Least Common Multiple of 831,6955 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 831,6955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,6955) = 1

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

GCF(831,6955) x common factors =1 x 1 = 1

LCM(831,6955) = ( 831 × 6955 ) / 1

LCM(831,6955) = 5779605 / 1

LCM(831,6955) = 5779605


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4034/831, 8464/6955

1. 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.

2. What is the GCF of Fractions for 4034/831, 8464/6955?

Answer: GCF of Numerators as per given numbers 4034/831, 8464/6955 is

GCF of Numerators i.e. for 4034,8464 is 2

LCM of denominators i.e. for 831,6955 is 5779605.

Thus, GCF of Fractions is 2/5779605.Finally, GCF of Fractions for 4034/831, 8464/6955 is 2/5779605.