Greatest Common Factor of 829/125, 311/276, 619/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 829/125, 311/276, 619/342

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 829/125,311/276,619/342

Given fractions are 829/125,311/276,619/342

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 829,311,619

Greatest Common Factor of Numerators i.e. GCF of 829,311,619 is 1 .

LCM of Denominators means LCM of 125,276,342 as per the given fractions.

LCM of 125,276,342 is 1966500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 829,311,619

GCF of Fractions 829/125,311/276,619/342 is 1/1966500

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

Greatest Common Factor of 829,311,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,311,619 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 829,311,619 . The biggest common factor number is the GCF number.
So the greatest common factor 829,311,619 is 1.

Lets's calculate LCM of 125,276,342

2 125, 276, 342
3 125, 138, 171
125, 46, 57

∴ So the LCM of the given numbers is 2 x 3 x 125 x 46 x 57 = 1966500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1966500

Therefore, the GCF of Fractions 829/125,311/276,619/342 is 1/1966500

Least Common Multiple of 125,276,342 with GCF Formula

Least Common Multiple of 125,276,342 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 125,276,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(125,276,342) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(125,276,342) x common factors =1 x 6 = 6

LCM(125,276,342) = ( 125 × 276 × 342 ) / 6

LCM(125,276,342) = 11799000 / 6

LCM(125,276,342) = 1966500


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 829/125, 311/276, 619/342

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 829/125, 311/276, 619/342?

Answer: GCF of Numerators as per given numbers 829/125, 311/276, 619/342 is

GCF of Numerators i.e. for 829,311,619 is 1

LCM of denominators i.e. for 125,276,342 is 1966500.

Thus, GCF of Fractions is 1/1966500.Finally, GCF of Fractions for 829/125, 311/276, 619/342 is 1/1966500.