Greatest Common Factor of 34/498, 401/214, 235/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/498, 401/214, 235/792

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 34/498,401/214,235/792

Given fractions are 34/498,401/214,235/792

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 34,401,235

Greatest Common Factor of Numerators i.e. GCF of 34,401,235 is 1 .

LCM of Denominators means LCM of 498,214,792 as per the given fractions.

LCM of 498,214,792 is 7033752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,401,235

GCF of Fractions 34/498,401/214,235/792 is 1/7033752

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

Greatest Common Factor of 34,401,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,401,235 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 34,401,235 . The biggest common factor number is the GCF number.
So the greatest common factor 34,401,235 is 1.

Lets's calculate LCM of 498,214,792

2 498, 214, 792
3 249, 107, 396
83, 107, 132

∴ So the LCM of the given numbers is 2 x 3 x 83 x 107 x 132 = 7033752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7033752

Therefore, the GCF of Fractions 34/498,401/214,235/792 is 1/7033752

Least Common Multiple of 498,214,792 with GCF Formula

Least Common Multiple of 498,214,792 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 498,214,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,214,792) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(498,214,792) x common factors =2 x 6 = 12

LCM(498,214,792) = ( 498 × 214 × 792 ) / 12

LCM(498,214,792) = 84405024 / 12

LCM(498,214,792) = 7033752


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 34/498, 401/214, 235/792

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 34/498, 401/214, 235/792?

Answer: GCF of Numerators as per given numbers 34/498, 401/214, 235/792 is

GCF of Numerators i.e. for 34,401,235 is 1

LCM of denominators i.e. for 498,214,792 is 7033752.

Thus, GCF of Fractions is 1/7033752.Finally, GCF of Fractions for 34/498, 401/214, 235/792 is 1/7033752.