How to Find GCF of 391/78, 742/3899?

GCF of 391/78, 742/3899

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 391/78, 742/3899 i.e 1/304122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/78, 742/3899.

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 391/78,742/3899?

Given fractions are 391/78,742/3899

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 391/78,742/3899, numerators are 391,742

Denominators are 78,3899

The GCF of 391,742 is 1 .

LCM of 78,3899 is 304122.

The greatest common factor of 391/78,742/3899 = [GCF of 391,742]/[LCM of 78,3899]= 1/304122

Therefore, the GCF of 391/78,742/3899 is 1/304122.

Greatest Common Factor of 391,742

To find the highest common factor of 391,742, we have to find the factors of both numbers and list the highest common factor.

The factors of 391 are 1, 17, 23, 391

The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742

The HCF of 391,742 is 1.

Lets's calculate GCF of 391,742

Greatest Common Factor (GCF) of 391,742 By Common Division

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

Greatest Common Factor of 391,742 By Matching Biggest Common Factor Method

Now, list down the factors of 391

1,17,23,391

Now, list down the factors of 742

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 391,742 . The biggest common factor number is the GCF number.
So the greatest common factor 391,742 is 1.

Lets's calculate LCM of 78,3899

Lowest Common Multiple of 78,3899 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 304122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304122

Therefore, the GCF of Fractions 391/78,742/3899 is 1/304122

Least Common Multiple of 78,3899 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 78,3899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,3899) = 1

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

GCF(78,3899) x common factors =1 x 1 = 1

LCM(78,3899) = ( 78 × 3899 ) / 1

LCM(78,3899) = 304122 / 1

LCM(78,3899) = 304122

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 391/78, 742/3899

1. What is the HCF of 391,742?

The HCF of 391,742 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 391/78, 742/3899?

Answer: GCF of Numerators as per given numbers 391/78, 742/3899 is

GCF of Numerators i.e. for 391,742 is 1

LCM of denominators i.e. for 78,3899 is 304122.

Thus, GCF of Fractions is 1/304122.Finally, GCF of Fractions for 391/78, 742/3899 is 1/304122.