Greatest Common Factor of 273/614, 454/350, 434/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 273/614, 454/350, 434/788

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 273/614,454/350,434/788

Given fractions are 273/614,454/350,434/788

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 273,454,434

Greatest Common Factor of Numerators i.e. GCF of 273,454,434 is 1 .

LCM of Denominators means LCM of 614,350,788 as per the given fractions.

LCM of 614,350,788 is 42335300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 273,454,434

GCF of Fractions 273/614,454/350,434/788 is 1/42335300

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

Greatest Common Factor of 273,454,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,454,434 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 273,454,434 . The biggest common factor number is the GCF number.
So the greatest common factor 273,454,434 is 1.

Lets's calculate LCM of 614,350,788

2 614, 350, 788
307, 175, 394

∴ So the LCM of the given numbers is 2 x 307 x 175 x 394 = 42335300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42335300

Therefore, the GCF of Fractions 273/614,454/350,434/788 is 1/42335300

Least Common Multiple of 614,350,788 with GCF Formula

Least Common Multiple of 614,350,788 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 614,350,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,350,788) = 2

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

GCF(614,350,788) x common factors =2 x 2 = 4

LCM(614,350,788) = ( 614 × 350 × 788 ) / 4

LCM(614,350,788) = 169341200 / 4

LCM(614,350,788) = 42335300


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 273/614, 454/350, 434/788

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 273/614, 454/350, 434/788?

Answer: GCF of Numerators as per given numbers 273/614, 454/350, 434/788 is

GCF of Numerators i.e. for 273,454,434 is 1

LCM of denominators i.e. for 614,350,788 is 42335300.

Thus, GCF of Fractions is 1/42335300.Finally, GCF of Fractions for 273/614, 454/350, 434/788 is 1/42335300.