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 492/211, 505/409

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 492/211, 505/409 i.e 1/86299 easily. The following is the detailed procedure to determine the greatest common factor of fractions 492/211, 505/409.

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 492/211,505/409?

Given fractions are 492/211,505/409

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 492/211,505/409, numerators are 492,505

Denominators are 211,409

The GCF of 492,505 is 1 .

LCM of 211,409 is 86299.

The greatest common factor of 492/211,505/409 = [GCF of 492,505]/[LCM of 211,409]= 1/86299

Therefore, the GCF of 492/211,505/409 is 1/86299.

Greatest Common Factor of 492,505

To find the highest common factor of 492,505, we have to find the factors of both numbers and list the highest common factor.

The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

The factors of 505 are 1, 5, 101, 505

The HCF of 492,505 is 1.

Lets's calculate GCF of 492,505

Greatest Common Factor (GCF) of 492,505 By Common Division

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

Greatest Common Factor of 492,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,505 By Matching Biggest Common Factor Method

Now, list down the factors of 492

:

1,2,3,4,6,12,41,82,123,164,246,492

Now, list down the factors of 505

:

1,5,101,505

Greatest Common Factor

We found the factors 492,505 . The biggest common factor number is the GCF number.
So the greatest common factor 492,505 is 1.

Lets's calculate LCM of 211,409

Lowest Common Multiple of 211,409 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 86299

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86299

Therefore, the GCF of Fractions 492/211,505/409 is 1/86299

Least Common Multiple of 211,409 with GCF Formula

Least Common Multiple of 211,409 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 211,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,409) = 1

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

GCF(211,409) x common factors =1 x 1 = 1

LCM(211,409) = ( 211 × 409 ) / 1

LCM(211,409) = 86299 / 1

LCM(211,409) = 86299


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 492/211, 505/409

1. What is the HCF of 492,505?

The HCF of 492,505 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 492/211, 505/409?

Answer: GCF of Numerators as per given numbers 492/211, 505/409 is

GCF of Numerators i.e. for 492,505 is 1

LCM of denominators i.e. for 211,409 is 86299.

Thus, GCF of Fractions is 1/86299.Finally, GCF of Fractions for 492/211, 505/409 is 1/86299.