Greatest Common Factor of 511/63, 112/1261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 511/63, 112/1261

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 511/63,112/1261

Given fractions are 511/63,112/1261

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 511,112

Greatest Common Factor of Numerators i.e. GCF of 511,112 is 7 .

LCM of Denominators means LCM of 63,1261 as per the given fractions.

LCM of 63,1261 is 79443 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 511,112

GCF of Fractions 511/63,112/1261 is 7/79443

7 511, 112
73, 16

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

Greatest Common Factor of 511,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 511,112 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 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 511,112 . The biggest common factor number is the GCF number.
So the greatest common factor 511,112 is 7.

Lets's calculate LCM of 63,1261

Given numbers has no common factors except 1. So, there LCM is their product i.e 79443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/79443

Therefore, the GCF of Fractions 511/63,112/1261 is 7/79443

Least Common Multiple of 63,1261 with GCF Formula

Least Common Multiple of 63,1261 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 63,1261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,1261) = 1

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

GCF(63,1261) x common factors =1 x 1 = 1

LCM(63,1261) = ( 63 × 1261 ) / 1

LCM(63,1261) = 79443 / 1

LCM(63,1261) = 79443


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 511/63, 112/1261

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 511/63, 112/1261?

Answer: GCF of Numerators as per given numbers 511/63, 112/1261 is

GCF of Numerators i.e. for 511,112 is 7

LCM of denominators i.e. for 63,1261 is 79443.

Thus, GCF of Fractions is 7/79443.Finally, GCF of Fractions for 511/63, 112/1261 is 7/79443.