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 397/229, 5374/299

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 397/229, 5374/299 i.e 1/68471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 397/229, 5374/299.

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 397/229,5374/299?

Given fractions are 397/229,5374/299

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 397/229,5374/299, numerators are 397,5374

Denominators are 229,299

The GCF of 397,5374 is 1 .

LCM of 229,299 is 68471.

The greatest common factor of 397/229,5374/299 = [GCF of 397,5374]/[LCM of 229,299]= 1/68471

Therefore, the GCF of 397/229,5374/299 is 1/68471.

Greatest Common Factor of 397,5374

To find the highest common factor of 397,5374, we have to find the factors of both numbers and list the highest common factor.

The factors of 397 are 1, 397

The factors of 5374 are 1, 2, 2687, 5374

The HCF of 397,5374 is 1.

Lets's calculate GCF of 397,5374

Greatest Common Factor (GCF) of 397,5374 By Common Division

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

Greatest Common Factor of 397,5374 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,5374 By Matching Biggest Common Factor Method

Now, list down the factors of 397

:

1,397

Now, list down the factors of 5374

:

1,2,2687,5374

Greatest Common Factor

We found the factors 397,5374 . The biggest common factor number is the GCF number.
So the greatest common factor 397,5374 is 1.

Lets's calculate LCM of 229,299

Lowest Common Multiple of 229,299 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 68471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68471

Therefore, the GCF of Fractions 397/229,5374/299 is 1/68471

Least Common Multiple of 229,299 with GCF Formula

Least Common Multiple of 229,299 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 229,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,299) = 1

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

GCF(229,299) x common factors =1 x 1 = 1

LCM(229,299) = ( 229 × 299 ) / 1

LCM(229,299) = 68471 / 1

LCM(229,299) = 68471


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 397/229, 5374/299

1. What is the HCF of 397,5374?

The HCF of 397,5374 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 397/229, 5374/299?

Answer: GCF of Numerators as per given numbers 397/229, 5374/299 is

GCF of Numerators i.e. for 397,5374 is 1

LCM of denominators i.e. for 229,299 is 68471.

Thus, GCF of Fractions is 1/68471.Finally, GCF of Fractions for 397/229, 5374/299 is 1/68471.