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 6509/538, 2449/590

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 6509/538, 2449/590 i.e 1/158710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6509/538, 2449/590.

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 6509/538,2449/590?

Given fractions are 6509/538,2449/590

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 6509/538,2449/590, numerators are 6509,2449

Denominators are 538,590

The GCF of 6509,2449 is 1 .

LCM of 538,590 is 158710.

The greatest common factor of 6509/538,2449/590 = [GCF of 6509,2449]/[LCM of 538,590]= 1/158710

Therefore, the GCF of 6509/538,2449/590 is 1/158710.

Greatest Common Factor of 6509,2449

To find the highest common factor of 6509,2449, we have to find the factors of both numbers and list the highest common factor.

The factors of 6509 are 1, 23, 283, 6509

The factors of 2449 are 1, 31, 79, 2449

The HCF of 6509,2449 is 1.

Lets's calculate GCF of 6509,2449

Greatest Common Factor (GCF) of 6509,2449 By Common Division

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

Greatest Common Factor of 6509,2449 By Matching Biggest Common Factor Method

Greatest Common Factor of 6509,2449 By Matching Biggest Common Factor Method

Now, list down the factors of 6509

:

1,23,283,6509

Now, list down the factors of 2449

:

1,31,79,2449

Greatest Common Factor

We found the factors 6509,2449 . The biggest common factor number is the GCF number.
So the greatest common factor 6509,2449 is 1.

Lets's calculate LCM of 538,590

Lowest Common Multiple of 538,590 using Common Division

2 538, 590
269, 295

∴ So the LCM of the given numbers is 2 x 269 x 295 = 158710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158710

Therefore, the GCF of Fractions 6509/538,2449/590 is 1/158710

Least Common Multiple of 538,590 with GCF Formula

Least Common Multiple of 538,590 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 538,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,590) = 2

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

GCF(538,590) x common factors =2 x 1 = 2

LCM(538,590) = ( 538 × 590 ) / 2

LCM(538,590) = 317420 / 2

LCM(538,590) = 158710


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6509/538, 2449/590

1. What is the HCF of 6509,2449?

The HCF of 6509,2449 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 6509/538, 2449/590?

Answer: GCF of Numerators as per given numbers 6509/538, 2449/590 is

GCF of Numerators i.e. for 6509,2449 is 1

LCM of denominators i.e. for 538,590 is 158710.

Thus, GCF of Fractions is 1/158710.Finally, GCF of Fractions for 6509/538, 2449/590 is 1/158710.