Greatest Common Factor of 830/58, 880/39, 140/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 830/58, 880/39, 140/143

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 830/58,880/39,140/143

Given fractions are 830/58,880/39,140/143

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 830,880,140

Greatest Common Factor of Numerators i.e. GCF of 830,880,140 is 10 .

LCM of Denominators means LCM of 58,39,143 as per the given fractions.

LCM of 58,39,143 is 24882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 830,880,140

GCF of Fractions 830/58,880/39,140/143 is 10/24882

2 830, 880, 140
5 415, 440, 70
83, 88, 14

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 830,880,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,880,140 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 830,880,140 . The biggest common factor number is the GCF number.
So the greatest common factor 830,880,140 is 10.

Lets's calculate LCM of 58,39,143

13 58, 39, 143
58, 3, 11

∴ So the LCM of the given numbers is 13 x 58 x 3 x 11 = 24882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/24882

Therefore, the GCF of Fractions 830/58,880/39,140/143 is 10/24882

Least Common Multiple of 58,39,143 with GCF Formula

Least Common Multiple of 58,39,143 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 58,39,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,39,143) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(58,39,143) x common factors =1 x 13 = 13

LCM(58,39,143) = ( 58 × 39 × 143 ) / 13

LCM(58,39,143) = 323466 / 13

LCM(58,39,143) = 24882


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 830/58, 880/39, 140/143

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 830/58, 880/39, 140/143?

Answer: GCF of Numerators as per given numbers 830/58, 880/39, 140/143 is

GCF of Numerators i.e. for 830,880,140 is 10

LCM of denominators i.e. for 58,39,143 is 24882.

Thus, GCF of Fractions is 10/24882.Finally, GCF of Fractions for 830/58, 880/39, 140/143 is 10/24882.