Greatest Common Factor of 83/64, 369/52, 719/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/64, 369/52, 719/409

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 83/64,369/52,719/409

Given fractions are 83/64,369/52,719/409

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 83,369,719

Greatest Common Factor of Numerators i.e. GCF of 83,369,719 is 1 .

LCM of Denominators means LCM of 64,52,409 as per the given fractions.

LCM of 64,52,409 is 340288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,369,719

GCF of Fractions 83/64,369/52,719/409 is 1/340288

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

Greatest Common Factor of 83,369,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,369,719 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 83,369,719 . The biggest common factor number is the GCF number.
So the greatest common factor 83,369,719 is 1.

Lets's calculate LCM of 64,52,409

2 64, 52, 409
2 32, 26, 409
16, 13, 409

∴ So the LCM of the given numbers is 2 x 2 x 16 x 13 x 409 = 340288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340288

Therefore, the GCF of Fractions 83/64,369/52,719/409 is 1/340288

Least Common Multiple of 64,52,409 with GCF Formula

Least Common Multiple of 64,52,409 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 64,52,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,52,409) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,52,409) x common factors =1 x 4 = 4

LCM(64,52,409) = ( 64 × 52 × 409 ) / 4

LCM(64,52,409) = 1361152 / 4

LCM(64,52,409) = 340288


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 83/64, 369/52, 719/409

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 83/64, 369/52, 719/409?

Answer: GCF of Numerators as per given numbers 83/64, 369/52, 719/409 is

GCF of Numerators i.e. for 83,369,719 is 1

LCM of denominators i.e. for 64,52,409 is 340288.

Thus, GCF of Fractions is 1/340288.Finally, GCF of Fractions for 83/64, 369/52, 719/409 is 1/340288.