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 538/284, 307/706

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 538/284, 307/706 i.e 1/100252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 538/284, 307/706.

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 538/284,307/706?

Given fractions are 538/284,307/706

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 538/284,307/706, numerators are 538,307

Denominators are 284,706

The GCF of 538,307 is 1 .

LCM of 284,706 is 100252.

The greatest common factor of 538/284,307/706 = [GCF of 538,307]/[LCM of 284,706]= 1/100252

Therefore, the GCF of 538/284,307/706 is 1/100252.

Greatest Common Factor of 538,307

To find the highest common factor of 538,307, we have to find the factors of both numbers and list the highest common factor.

The factors of 538 are 1, 2, 269, 538

The factors of 307 are 1, 307

The HCF of 538,307 is 1.

Lets's calculate GCF of 538,307

Greatest Common Factor (GCF) of 538,307 By Common Division

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

Greatest Common Factor of 538,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,307 By Matching Biggest Common Factor Method

Now, list down the factors of 538

:

1,2,269,538

Now, list down the factors of 307

:

1,307

Greatest Common Factor

We found the factors 538,307 . The biggest common factor number is the GCF number.
So the greatest common factor 538,307 is 1.

Lets's calculate LCM of 284,706

Lowest Common Multiple of 284,706 using Common Division

2 284, 706
142, 353

∴ So the LCM of the given numbers is 2 x 142 x 353 = 100252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100252

Therefore, the GCF of Fractions 538/284,307/706 is 1/100252

Least Common Multiple of 284,706 with GCF Formula

Least Common Multiple of 284,706 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 284,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,706) = 2

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

GCF(284,706) x common factors =2 x 1 = 2

LCM(284,706) = ( 284 × 706 ) / 2

LCM(284,706) = 200504 / 2

LCM(284,706) = 100252


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 538/284, 307/706

1. What is the HCF of 538,307?

The HCF of 538,307 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 538/284, 307/706?

Answer: GCF of Numerators as per given numbers 538/284, 307/706 is

GCF of Numerators i.e. for 538,307 is 1

LCM of denominators i.e. for 284,706 is 100252.

Thus, GCF of Fractions is 1/100252.Finally, GCF of Fractions for 538/284, 307/706 is 1/100252.