Greatest Common Factor of 34/759, 157/221, 503/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/759, 157/221, 503/394

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 34/759,157/221,503/394

Given fractions are 34/759,157/221,503/394

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 34,157,503

Greatest Common Factor of Numerators i.e. GCF of 34,157,503 is 1 .

LCM of Denominators means LCM of 759,221,394 as per the given fractions.

LCM of 759,221,394 is 66089166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,157,503

GCF of Fractions 34/759,157/221,503/394 is 1/66089166

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

Greatest Common Factor of 34,157,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,157,503 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 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 34,157,503 . The biggest common factor number is the GCF number.
So the greatest common factor 34,157,503 is 1.

Lets's calculate LCM of 759,221,394

Given numbers has no common factors except 1. So, there LCM is their product i.e 66089166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66089166

Therefore, the GCF of Fractions 34/759,157/221,503/394 is 1/66089166

Least Common Multiple of 759,221,394 with GCF Formula

Least Common Multiple of 759,221,394 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 759,221,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,221,394) = 1

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

GCF(759,221,394) x common factors =1 x 1 = 1

LCM(759,221,394) = ( 759 × 221 × 394 ) / 1

LCM(759,221,394) = 66089166 / 1

LCM(759,221,394) = 66089166


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 34/759, 157/221, 503/394

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 34/759, 157/221, 503/394?

Answer: GCF of Numerators as per given numbers 34/759, 157/221, 503/394 is

GCF of Numerators i.e. for 34,157,503 is 1

LCM of denominators i.e. for 759,221,394 is 66089166.

Thus, GCF of Fractions is 1/66089166.Finally, GCF of Fractions for 34/759, 157/221, 503/394 is 1/66089166.