How to Find GCF of 140/86, 993/10, 586/76?

GCF of 140/86, 993/10, 586/76

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 140/86, 993/10, 586/76 i.e 1/16340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 140/86, 993/10, 586/76.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 140/86,993/10,586/76?

Given fractions are 140/86,993/10,586/76

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 140/86,993/10,586/76, numerators are 140,993,586

Denominators are 86,10,76

The GCF of 140,993,586 is 1 .

LCM of 86,10,76 is 16340.

The greatest common factor of 140/86,993/10,586/76 = [GCF of 140,993,586]/[LCM of 86,10,76]= 1/16340

Therefore, the GCF of 140/86,993/10,586/76 is 1/16340.

Greatest Common Factor of 140,993,586

To find the highest common factor of 140,993,586, we have to find the factors of both numbers and list the highest common factor.

The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

The factors of 993 are 1, 3, 331, 993

The factors of 586 are 1, 2, 293, 586

The HCF of 140,993,586 is 1.

Lets's calculate GCF of 140,993,586

Greatest Common Factor (GCF) of 140,993,586 By Common Division

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

Greatest Common Factor of 140,993,586 By Matching Biggest Common Factor Method

Now, list down the factors of 140

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

Now, list down the factors of 993

1,3,331,993

Now, list down the factors of 586

1,2,293,586

Greatest Common Factor

We found the factors 140,993,586 . The biggest common factor number is the GCF number.
So the greatest common factor 140,993,586 is 1.

Lets's calculate LCM of 86,10,76

Lowest Common Multiple of 86,10,76 using Common Division

2	86, 10, 76
	43, 5, 38

∴ So the LCM of the given numbers is 2 x 43 x 5 x 38 = 16340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16340

Therefore, the GCF of Fractions 140/86,993/10,586/76 is 1/16340

Least Common Multiple of 86,10,76 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 86,10,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,10,76) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(86,10,76) x common factors =2 x 2 = 4

LCM(86,10,76) = ( 86 × 10 × 76 ) / 4

LCM(86,10,76) = 65360 / 4

LCM(86,10,76) = 16340

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 140/86, 993/10, 586/76

1. What is the HCF of 140,993,586?

The HCF of 140,993,586 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 140/86, 993/10, 586/76?

Answer: GCF of Numerators as per given numbers 140/86, 993/10, 586/76 is

GCF of Numerators i.e. for 140,993,586 is 1

LCM of denominators i.e. for 86,10,76 is 16340.

Thus, GCF of Fractions is 1/16340.Finally, GCF of Fractions for 140/86, 993/10, 586/76 is 1/16340.