Greatest Common Factor of 784/83, 303/60, 581/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 784/83, 303/60, 581/350

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 784/83,303/60,581/350

Given fractions are 784/83,303/60,581/350

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 784,303,581

Greatest Common Factor of Numerators i.e. GCF of 784,303,581 is 1 .

LCM of Denominators means LCM of 83,60,350 as per the given fractions.

LCM of 83,60,350 is 174300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 784,303,581

GCF of Fractions 784/83,303/60,581/350 is 1/174300

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

Greatest Common Factor of 784,303,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,303,581 By Matching Biggest Common Factor Method

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

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 784,303,581 . The biggest common factor number is the GCF number.
So the greatest common factor 784,303,581 is 1.

Lets's calculate LCM of 83,60,350

2 83, 60, 350
5 83, 30, 175
83, 6, 35

∴ So the LCM of the given numbers is 2 x 5 x 83 x 6 x 35 = 174300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174300

Therefore, the GCF of Fractions 784/83,303/60,581/350 is 1/174300

Least Common Multiple of 83,60,350 with GCF Formula

Least Common Multiple of 83,60,350 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 83,60,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,60,350) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(83,60,350) x common factors =1 x 10 = 10

LCM(83,60,350) = ( 83 × 60 × 350 ) / 10

LCM(83,60,350) = 1743000 / 10

LCM(83,60,350) = 174300


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 784/83, 303/60, 581/350

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 784/83, 303/60, 581/350?

Answer: GCF of Numerators as per given numbers 784/83, 303/60, 581/350 is

GCF of Numerators i.e. for 784,303,581 is 1

LCM of denominators i.e. for 83,60,350 is 174300.

Thus, GCF of Fractions is 1/174300.Finally, GCF of Fractions for 784/83, 303/60, 581/350 is 1/174300.