Greatest Common Factor of 67/516, 193/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/516, 193/880

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 67/516,193/880

Given fractions are 67/516,193/880

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 67,193

Greatest Common Factor of Numerators i.e. GCF of 67,193 is 1 .

LCM of Denominators means LCM of 516,880 as per the given fractions.

LCM of 516,880 is 113520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,193

GCF of Fractions 67/516,193/880 is 1/113520

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

Greatest Common Factor of 67,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,193 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 67,193 . The biggest common factor number is the GCF number.
So the greatest common factor 67,193 is 1.

Lets's calculate LCM of 516,880

2 516, 880
2 258, 440
129, 220

∴ So the LCM of the given numbers is 2 x 2 x 129 x 220 = 113520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113520

Therefore, the GCF of Fractions 67/516,193/880 is 1/113520

Least Common Multiple of 516,880 with GCF Formula

Least Common Multiple of 516,880 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 516,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,880) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(516,880) x common factors =4 x 1 = 4

LCM(516,880) = ( 516 × 880 ) / 4

LCM(516,880) = 454080 / 4

LCM(516,880) = 113520


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 67/516, 193/880

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 67/516, 193/880?

Answer: GCF of Numerators as per given numbers 67/516, 193/880 is

GCF of Numerators i.e. for 67,193 is 1

LCM of denominators i.e. for 516,880 is 113520.

Thus, GCF of Fractions is 1/113520.Finally, GCF of Fractions for 67/516, 193/880 is 1/113520.