LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 394/60, 719/6526

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 394/60, 719/6526 i.e 1/195780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 394/60, 719/6526.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 394/60,719/6526?

Given fractions are 394/60,719/6526

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 394/60,719/6526, numerators are 394,719

Denominators are 60,6526

The GCF of 394,719 is 1 .

LCM of 60,6526 is 195780.

The greatest common factor of 394/60,719/6526 = [GCF of 394,719]/[LCM of 60,6526]= 1/195780

Therefore, the GCF of 394/60,719/6526 is 1/195780.

Greatest Common Factor of 394,719

To find the highest common factor of 394,719, we have to find the factors of both numbers and list the highest common factor.

The factors of 394 are 1, 2, 197, 394

The factors of 719 are 1, 719

The HCF of 394,719 is 1.

Lets's calculate GCF of 394,719

Greatest Common Factor (GCF) of 394,719 By Common Division

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

Greatest Common Factor of 394,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,719 By Matching Biggest Common Factor Method

Now, list down the factors of 394

:

1,2,197,394

Now, list down the factors of 719

:

1,719

Greatest Common Factor

We found the factors 394,719 . The biggest common factor number is the GCF number.
So the greatest common factor 394,719 is 1.

Lets's calculate LCM of 60,6526

Lowest Common Multiple of 60,6526 using Common Division

2 60, 6526
30, 3263

∴ So the LCM of the given numbers is 2 x 30 x 3263 = 195780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195780

Therefore, the GCF of Fractions 394/60,719/6526 is 1/195780

Least Common Multiple of 60,6526 with GCF Formula

Least Common Multiple of 60,6526 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 60,6526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,6526) = 2

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

GCF(60,6526) x common factors =2 x 1 = 2

LCM(60,6526) = ( 60 × 6526 ) / 2

LCM(60,6526) = 391560 / 2

LCM(60,6526) = 195780


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 394/60, 719/6526

1. What is the HCF of 394,719?

The HCF of 394,719 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 394/60, 719/6526?

Answer: GCF of Numerators as per given numbers 394/60, 719/6526 is

GCF of Numerators i.e. for 394,719 is 1

LCM of denominators i.e. for 60,6526 is 195780.

Thus, GCF of Fractions is 1/195780.Finally, GCF of Fractions for 394/60, 719/6526 is 1/195780.