LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 741/90, 317/354

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 741/90, 317/354 i.e 1/5310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/90, 317/354.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 741/90,317/354?

Given fractions are 741/90,317/354

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 741/90,317/354, numerators are 741,317

Denominators are 90,354

The GCF of 741,317 is 1 .

LCM of 90,354 is 5310.

The greatest common factor of 741/90,317/354 = [GCF of 741,317]/[LCM of 90,354]= 1/5310

Therefore, the GCF of 741/90,317/354 is 1/5310.

Greatest Common Factor of 741,317

To find the highest common factor of 741,317, we have to find the factors of both numbers and list the highest common factor.

The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741

The factors of 317 are 1, 317

The HCF of 741,317 is 1.

Lets's calculate GCF of 741,317

Greatest Common Factor (GCF) of 741,317 By Common Division

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

Greatest Common Factor of 741,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,317 By Matching Biggest Common Factor Method

Now, list down the factors of 741

:

1,3,13,19,39,57,247,741

Now, list down the factors of 317

:

1,317

Greatest Common Factor

We found the factors 741,317 . The biggest common factor number is the GCF number.
So the greatest common factor 741,317 is 1.

Lets's calculate LCM of 90,354

Lowest Common Multiple of 90,354 using Common Division

2 90, 354
3 45, 177
15, 59

∴ So the LCM of the given numbers is 2 x 3 x 15 x 59 = 5310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5310

Therefore, the GCF of Fractions 741/90,317/354 is 1/5310

Least Common Multiple of 90,354 with GCF Formula

Least Common Multiple of 90,354 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 90,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,354) = 6

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

GCF(90,354) x common factors =6 x 1 = 6

LCM(90,354) = ( 90 × 354 ) / 6

LCM(90,354) = 31860 / 6

LCM(90,354) = 5310


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 741/90, 317/354

1. What is the HCF of 741,317?

The HCF of 741,317 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 741/90, 317/354?

Answer: GCF of Numerators as per given numbers 741/90, 317/354 is

GCF of Numerators i.e. for 741,317 is 1

LCM of denominators i.e. for 90,354 is 5310.

Thus, GCF of Fractions is 1/5310.Finally, GCF of Fractions for 741/90, 317/354 is 1/5310.