Greatest Common Factor of 511/847, 8932/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 511/847, 8932/111

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 511/847,8932/111

Given fractions are 511/847,8932/111

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 511,8932

Greatest Common Factor of Numerators i.e. GCF of 511,8932 is 7 .

LCM of Denominators means LCM of 847,111 as per the given fractions.

LCM of 847,111 is 94017 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 511,8932

GCF of Fractions 511/847,8932/111 is 7/94017

7 511, 8932
73, 1276

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 511,8932 By Matching Biggest Common Factor Method

Greatest Common Factor of 511,8932 By Matching Biggest Common Factor Method

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 8932

List of positive integer factors of 8932 that divides 8932 without a remainder.

1,2,4,7,11,14,22,28,29,44,58,77,116,154,203,308,319,406,638,812,1276,2233,4466,8932

Greatest Common Factor

We found the factors 511,8932 . The biggest common factor number is the GCF number.
So the greatest common factor 511,8932 is 7.

Lets's calculate LCM of 847,111

Given numbers has no common factors except 1. So, there LCM is their product i.e 94017

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/94017

Therefore, the GCF of Fractions 511/847,8932/111 is 7/94017

Least Common Multiple of 847,111 with GCF Formula

Least Common Multiple of 847,111 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 847,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,111) = 1

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

GCF(847,111) x common factors =1 x 1 = 1

LCM(847,111) = ( 847 × 111 ) / 1

LCM(847,111) = 94017 / 1

LCM(847,111) = 94017


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 511/847, 8932/111

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 511/847, 8932/111?

Answer: GCF of Numerators as per given numbers 511/847, 8932/111 is

GCF of Numerators i.e. for 511,8932 is 7

LCM of denominators i.e. for 847,111 is 94017.

Thus, GCF of Fractions is 7/94017.Finally, GCF of Fractions for 511/847, 8932/111 is 7/94017.