Greatest Common Factor of 58/85, 233/24, 970/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/85, 233/24, 970/780

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 58/85,233/24,970/780

Given fractions are 58/85,233/24,970/780

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 58,233,970

Greatest Common Factor of Numerators i.e. GCF of 58,233,970 is 1 .

LCM of Denominators means LCM of 85,24,780 as per the given fractions.

LCM of 85,24,780 is 26520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,233,970

GCF of Fractions 58/85,233/24,970/780 is 1/26520

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

Greatest Common Factor of 58,233,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,233,970 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 58,233,970 . The biggest common factor number is the GCF number.
So the greatest common factor 58,233,970 is 1.

Lets's calculate LCM of 85,24,780

2 85, 24, 780
2 85, 12, 390
3 85, 6, 195
5 85, 2, 65
17, 2, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 17 x 2 x 13 = 26520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26520

Therefore, the GCF of Fractions 58/85,233/24,970/780 is 1/26520

Least Common Multiple of 85,24,780 with GCF Formula

Least Common Multiple of 85,24,780 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 85,24,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,24,780) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(85,24,780) x common factors =1 x 60 = 60

LCM(85,24,780) = ( 85 × 24 × 780 ) / 60

LCM(85,24,780) = 1591200 / 60

LCM(85,24,780) = 26520


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 58/85, 233/24, 970/780

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 58/85, 233/24, 970/780?

Answer: GCF of Numerators as per given numbers 58/85, 233/24, 970/780 is

GCF of Numerators i.e. for 58,233,970 is 1

LCM of denominators i.e. for 85,24,780 is 26520.

Thus, GCF of Fractions is 1/26520.Finally, GCF of Fractions for 58/85, 233/24, 970/780 is 1/26520.