Greatest Common Factor of 4696/511, 8144/8821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4696/511, 8144/8821

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 4696/511,8144/8821

Given fractions are 4696/511,8144/8821

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 4696,8144

Greatest Common Factor of Numerators i.e. GCF of 4696,8144 is 8 .

LCM of Denominators means LCM of 511,8821 as per the given fractions.

LCM of 511,8821 is 4507531 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4696,8144

GCF of Fractions 4696/511,8144/8821 is 8/4507531

2 4696, 8144
2 2348, 4072
2 1174, 2036
587, 1018

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4696,8144 By Matching Biggest Common Factor Method

Greatest Common Factor of 4696,8144 By Matching Biggest Common Factor Method

Factors of 4696

List of positive integer factors of 4696 that divides 4696 without a remainder.

1,2,4,8,587,1174,2348,4696

Factors of 8144

List of positive integer factors of 8144 that divides 8144 without a remainder.

1,2,4,8,16,509,1018,2036,4072,8144

Greatest Common Factor

We found the factors 4696,8144 . The biggest common factor number is the GCF number.
So the greatest common factor 4696,8144 is 8.

Lets's calculate LCM of 511,8821

Given numbers has no common factors except 1. So, there LCM is their product i.e 4507531

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4507531

Therefore, the GCF of Fractions 4696/511,8144/8821 is 8/4507531

Least Common Multiple of 511,8821 with GCF Formula

Least Common Multiple of 511,8821 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 511,8821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,8821) = 1

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

GCF(511,8821) x common factors =1 x 1 = 1

LCM(511,8821) = ( 511 × 8821 ) / 1

LCM(511,8821) = 4507531 / 1

LCM(511,8821) = 4507531


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 4696/511, 8144/8821

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 4696/511, 8144/8821?

Answer: GCF of Numerators as per given numbers 4696/511, 8144/8821 is

GCF of Numerators i.e. for 4696,8144 is 8

LCM of denominators i.e. for 511,8821 is 4507531.

Thus, GCF of Fractions is 8/4507531.Finally, GCF of Fractions for 4696/511, 8144/8821 is 8/4507531.