How to Find GCF of 85/13, 516/50, 614/146?

GCF of 85/13, 516/50, 614/146

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 85/13, 516/50, 614/146 i.e 1/47450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/13, 516/50, 614/146.

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 85/13,516/50,614/146?

Given fractions are 85/13,516/50,614/146

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 85/13,516/50,614/146, numerators are 85,516,614

Denominators are 13,50,146

The GCF of 85,516,614 is 1 .

LCM of 13,50,146 is 47450.

The greatest common factor of 85/13,516/50,614/146 = [GCF of 85,516,614]/[LCM of 13,50,146]= 1/47450

Therefore, the GCF of 85/13,516/50,614/146 is 1/47450.

Greatest Common Factor of 85,516,614

To find the highest common factor of 85,516,614, we have to find the factors of both numbers and list the highest common factor.

The factors of 85 are 1, 5, 17, 85

The factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

The factors of 614 are 1, 2, 307, 614

The HCF of 85,516,614 is 1.

Lets's calculate GCF of 85,516,614

Greatest Common Factor (GCF) of 85,516,614 By Common Division

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

Greatest Common Factor of 85,516,614 By Matching Biggest Common Factor Method

Now, list down the factors of 85

1,5,17,85

Now, list down the factors of 516

1,2,3,4,6,12,43,86,129,172,258,516

Now, list down the factors of 614

1,2,307,614

Greatest Common Factor

We found the factors 85,516,614 . The biggest common factor number is the GCF number.
So the greatest common factor 85,516,614 is 1.

Lets's calculate LCM of 13,50,146

Lowest Common Multiple of 13,50,146 using Common Division

2	13, 50, 146
	13, 25, 73

∴ So the LCM of the given numbers is 2 x 13 x 25 x 73 = 47450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47450

Therefore, the GCF of Fractions 85/13,516/50,614/146 is 1/47450

Least Common Multiple of 13,50,146 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 13,50,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,50,146) = 1

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

GCF(13,50,146) x common factors =1 x 2 = 2

LCM(13,50,146) = ( 13 × 50 × 146 ) / 2

LCM(13,50,146) = 94900 / 2

LCM(13,50,146) = 47450

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 85/13, 516/50, 614/146

1. What is the HCF of 85,516,614?

The HCF of 85,516,614 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 85/13, 516/50, 614/146?

Answer: GCF of Numerators as per given numbers 85/13, 516/50, 614/146 is

GCF of Numerators i.e. for 85,516,614 is 1

LCM of denominators i.e. for 13,50,146 is 47450.

Thus, GCF of Fractions is 1/47450.Finally, GCF of Fractions for 85/13, 516/50, 614/146 is 1/47450.