Greatest Common Factor of 711/76, 510/8768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 711/76, 510/8768

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 711/76,510/8768

Given fractions are 711/76,510/8768

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 711,510

Greatest Common Factor of Numerators i.e. GCF of 711,510 is 3 .

LCM of Denominators means LCM of 76,8768 as per the given fractions.

LCM of 76,8768 is 166592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 711,510

GCF of Fractions 711/76,510/8768 is 3/166592

3 711, 510
237, 170

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 711,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,510 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 711,510 . The biggest common factor number is the GCF number.
So the greatest common factor 711,510 is 3.

Lets's calculate LCM of 76,8768

2 76, 8768
2 38, 4384
19, 2192

∴ So the LCM of the given numbers is 2 x 2 x 19 x 2192 = 166592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/166592

Therefore, the GCF of Fractions 711/76,510/8768 is 3/166592

Least Common Multiple of 76,8768 with GCF Formula

Least Common Multiple of 76,8768 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 76,8768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,8768) = 4

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

GCF(76,8768) x common factors =4 x 1 = 4

LCM(76,8768) = ( 76 × 8768 ) / 4

LCM(76,8768) = 666368 / 4

LCM(76,8768) = 166592


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 711/76, 510/8768

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 711/76, 510/8768?

Answer: GCF of Numerators as per given numbers 711/76, 510/8768 is

GCF of Numerators i.e. for 711,510 is 3

LCM of denominators i.e. for 76,8768 is 166592.

Thus, GCF of Fractions is 3/166592.Finally, GCF of Fractions for 711/76, 510/8768 is 3/166592.