Greatest Common Factor of 919/509, 8119/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 919/509, 8119/364

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 919/509,8119/364

Given fractions are 919/509,8119/364

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 919,8119

Greatest Common Factor of Numerators i.e. GCF of 919,8119 is 1 .

LCM of Denominators means LCM of 509,364 as per the given fractions.

LCM of 509,364 is 185276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 919,8119

GCF of Fractions 919/509,8119/364 is 1/185276

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 919,8119 By Matching Biggest Common Factor Method

Greatest Common Factor of 919,8119 By Matching Biggest Common Factor Method

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 8119

List of positive integer factors of 8119 that divides 8119 without a remainder.

1,23,353,8119

Greatest Common Factor

We found the factors 919,8119 . The biggest common factor number is the GCF number.
So the greatest common factor 919,8119 is 1.

Lets's calculate LCM of 509,364

Given numbers has no common factors except 1. So, there LCM is their product i.e 185276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185276

Therefore, the GCF of Fractions 919/509,8119/364 is 1/185276

Least Common Multiple of 509,364 with GCF Formula

Least Common Multiple of 509,364 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 509,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,364) = 1

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

GCF(509,364) x common factors =1 x 1 = 1

LCM(509,364) = ( 509 × 364 ) / 1

LCM(509,364) = 185276 / 1

LCM(509,364) = 185276


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 919/509, 8119/364

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 919/509, 8119/364?

Answer: GCF of Numerators as per given numbers 919/509, 8119/364 is

GCF of Numerators i.e. for 919,8119 is 1

LCM of denominators i.e. for 509,364 is 185276.

Thus, GCF of Fractions is 1/185276.Finally, GCF of Fractions for 919/509, 8119/364 is 1/185276.