Greatest Common Factor of 511/416, 784/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 511/416, 784/159

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 511/416,784/159

Given fractions are 511/416,784/159

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 511,784

Greatest Common Factor of Numerators i.e. GCF of 511,784 is 7 .

LCM of Denominators means LCM of 416,159 as per the given fractions.

LCM of 416,159 is 66144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 511,784

GCF of Fractions 511/416,784/159 is 7/66144

7 511, 784
73, 112

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

Greatest Common Factor of 511,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 511,784 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 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 511,784 . The biggest common factor number is the GCF number.
So the greatest common factor 511,784 is 7.

Lets's calculate LCM of 416,159

Given numbers has no common factors except 1. So, there LCM is their product i.e 66144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/66144

Therefore, the GCF of Fractions 511/416,784/159 is 7/66144

Least Common Multiple of 416,159 with GCF Formula

Least Common Multiple of 416,159 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 416,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,159) = 1

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

GCF(416,159) x common factors =1 x 1 = 1

LCM(416,159) = ( 416 × 159 ) / 1

LCM(416,159) = 66144 / 1

LCM(416,159) = 66144


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 511/416, 784/159

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 511/416, 784/159?

Answer: GCF of Numerators as per given numbers 511/416, 784/159 is

GCF of Numerators i.e. for 511,784 is 7

LCM of denominators i.e. for 416,159 is 66144.

Thus, GCF of Fractions is 7/66144.Finally, GCF of Fractions for 511/416, 784/159 is 7/66144.