Greatest Common Factor of 742/34, 904/58, 821/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/34, 904/58, 821/313

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 742/34,904/58,821/313

Given fractions are 742/34,904/58,821/313

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 742,904,821

Greatest Common Factor of Numerators i.e. GCF of 742,904,821 is 1 .

LCM of Denominators means LCM of 34,58,313 as per the given fractions.

LCM of 34,58,313 is 308618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,904,821

GCF of Fractions 742/34,904/58,821/313 is 1/308618

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

Greatest Common Factor of 742,904,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,904,821 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

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

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 742,904,821 . The biggest common factor number is the GCF number.
So the greatest common factor 742,904,821 is 1.

Lets's calculate LCM of 34,58,313

2 34, 58, 313
17, 29, 313

∴ So the LCM of the given numbers is 2 x 17 x 29 x 313 = 308618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308618

Therefore, the GCF of Fractions 742/34,904/58,821/313 is 1/308618

Least Common Multiple of 34,58,313 with GCF Formula

Least Common Multiple of 34,58,313 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 34,58,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,58,313) = 1

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

GCF(34,58,313) x common factors =1 x 2 = 2

LCM(34,58,313) = ( 34 × 58 × 313 ) / 2

LCM(34,58,313) = 617236 / 2

LCM(34,58,313) = 308618


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 742/34, 904/58, 821/313

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 742/34, 904/58, 821/313?

Answer: GCF of Numerators as per given numbers 742/34, 904/58, 821/313 is

GCF of Numerators i.e. for 742,904,821 is 1

LCM of denominators i.e. for 34,58,313 is 308618.

Thus, GCF of Fractions is 1/308618.Finally, GCF of Fractions for 742/34, 904/58, 821/313 is 1/308618.