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 343/98, 373/5802

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 343/98, 373/5802 i.e 1/284298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 343/98, 373/5802.

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 343/98,373/5802?

Given fractions are 343/98,373/5802

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 343/98,373/5802, numerators are 343,373

Denominators are 98,5802

The GCF of 343,373 is 1 .

LCM of 98,5802 is 284298.

The greatest common factor of 343/98,373/5802 = [GCF of 343,373]/[LCM of 98,5802]= 1/284298

Therefore, the GCF of 343/98,373/5802 is 1/284298.

Greatest Common Factor of 343,373

To find the highest common factor of 343,373, we have to find the factors of both numbers and list the highest common factor.

The factors of 343 are 1, 7, 49, 343

The factors of 373 are 1, 373

The HCF of 343,373 is 1.

Lets's calculate GCF of 343,373

Greatest Common Factor (GCF) of 343,373 By Common Division

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

Greatest Common Factor of 343,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,373 By Matching Biggest Common Factor Method

Now, list down the factors of 343

:

1,7,49,343

Now, list down the factors of 373

:

1,373

Greatest Common Factor

We found the factors 343,373 . The biggest common factor number is the GCF number.
So the greatest common factor 343,373 is 1.

Lets's calculate LCM of 98,5802

Lowest Common Multiple of 98,5802 using Common Division

2 98, 5802
49, 2901

∴ So the LCM of the given numbers is 2 x 49 x 2901 = 284298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284298

Therefore, the GCF of Fractions 343/98,373/5802 is 1/284298

Least Common Multiple of 98,5802 with GCF Formula

Least Common Multiple of 98,5802 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 98,5802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,5802) = 2

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

GCF(98,5802) x common factors =2 x 1 = 2

LCM(98,5802) = ( 98 × 5802 ) / 2

LCM(98,5802) = 568596 / 2

LCM(98,5802) = 284298


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 343/98, 373/5802

1. What is the HCF of 343,373?

The HCF of 343,373 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 343/98, 373/5802?

Answer: GCF of Numerators as per given numbers 343/98, 373/5802 is

GCF of Numerators i.e. for 343,373 is 1

LCM of denominators i.e. for 98,5802 is 284298.

Thus, GCF of Fractions is 1/284298.Finally, GCF of Fractions for 343/98, 373/5802 is 1/284298.