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 499/288, 2092/712

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 499/288, 2092/712 i.e 1/25632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 499/288, 2092/712.

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 499/288,2092/712?

Given fractions are 499/288,2092/712

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 499/288,2092/712, numerators are 499,2092

Denominators are 288,712

The GCF of 499,2092 is 1 .

LCM of 288,712 is 25632.

The greatest common factor of 499/288,2092/712 = [GCF of 499,2092]/[LCM of 288,712]= 1/25632

Therefore, the GCF of 499/288,2092/712 is 1/25632.

Greatest Common Factor of 499,2092

To find the highest common factor of 499,2092, we have to find the factors of both numbers and list the highest common factor.

The factors of 499 are 1, 499

The factors of 2092 are 1, 2, 4, 523, 1046, 2092

The HCF of 499,2092 is 1.

Lets's calculate GCF of 499,2092

Greatest Common Factor (GCF) of 499,2092 By Common Division

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

Greatest Common Factor of 499,2092 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,2092 By Matching Biggest Common Factor Method

Now, list down the factors of 499

:

1,499

Now, list down the factors of 2092

:

1,2,4,523,1046,2092

Greatest Common Factor

We found the factors 499,2092 . The biggest common factor number is the GCF number.
So the greatest common factor 499,2092 is 1.

Lets's calculate LCM of 288,712

Lowest Common Multiple of 288,712 using Common Division

2 288, 712
2 144, 356
2 72, 178
36, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 36 x 89 = 25632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25632

Therefore, the GCF of Fractions 499/288,2092/712 is 1/25632

Least Common Multiple of 288,712 with GCF Formula

Least Common Multiple of 288,712 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 288,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,712) = 8

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

GCF(288,712) x common factors =8 x 1 = 8

LCM(288,712) = ( 288 × 712 ) / 8

LCM(288,712) = 205056 / 8

LCM(288,712) = 25632


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 499/288, 2092/712

1. What is the HCF of 499,2092?

The HCF of 499,2092 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 499/288, 2092/712?

Answer: GCF of Numerators as per given numbers 499/288, 2092/712 is

GCF of Numerators i.e. for 499,2092 is 1

LCM of denominators i.e. for 288,712 is 25632.

Thus, GCF of Fractions is 1/25632.Finally, GCF of Fractions for 499/288, 2092/712 is 1/25632.