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 803/66, 256/486

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 803/66, 256/486 i.e 1/5346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 803/66, 256/486.

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 803/66,256/486?

Given fractions are 803/66,256/486

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 803/66,256/486, numerators are 803,256

Denominators are 66,486

The GCF of 803,256 is 1 .

LCM of 66,486 is 5346.

The greatest common factor of 803/66,256/486 = [GCF of 803,256]/[LCM of 66,486]= 1/5346

Therefore, the GCF of 803/66,256/486 is 1/5346.

Greatest Common Factor of 803,256

To find the highest common factor of 803,256, we have to find the factors of both numbers and list the highest common factor.

The factors of 803 are 1, 11, 73, 803

The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256

The HCF of 803,256 is 1.

Lets's calculate GCF of 803,256

Greatest Common Factor (GCF) of 803,256 By Common Division

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

Greatest Common Factor of 803,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,256 By Matching Biggest Common Factor Method

Now, list down the factors of 803

:

1,11,73,803

Now, list down the factors of 256

:

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 803,256 . The biggest common factor number is the GCF number.
So the greatest common factor 803,256 is 1.

Lets's calculate LCM of 66,486

Lowest Common Multiple of 66,486 using Common Division

2 66, 486
3 33, 243
11, 81

∴ So the LCM of the given numbers is 2 x 3 x 11 x 81 = 5346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5346

Therefore, the GCF of Fractions 803/66,256/486 is 1/5346

Least Common Multiple of 66,486 with GCF Formula

Least Common Multiple of 66,486 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 66,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,486) = 6

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

GCF(66,486) x common factors =6 x 1 = 6

LCM(66,486) = ( 66 × 486 ) / 6

LCM(66,486) = 32076 / 6

LCM(66,486) = 5346


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 803/66, 256/486

1. What is the HCF of 803,256?

The HCF of 803,256 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 803/66, 256/486?

Answer: GCF of Numerators as per given numbers 803/66, 256/486 is

GCF of Numerators i.e. for 803,256 is 1

LCM of denominators i.e. for 66,486 is 5346.

Thus, GCF of Fractions is 1/5346.Finally, GCF of Fractions for 803/66, 256/486 is 1/5346.