GCF of 33/14, 836/60, 282/800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 33/14, 836/60, 282/800 i.e 1/16800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/14, 836/60, 282/800.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 33/14,836/60,282/800?
Given fractions are 33/14,836/60,282/800
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 33/14,836/60,282/800, numerators are 33,836,282
Denominators are 14,60,800
The GCF of 33,836,282 is 1 .
LCM of 14,60,800 is 16800.
The greatest common factor of 33/14,836/60,282/800 = [GCF of 33,836,282]/[LCM of 14,60,800]= 1/16800
Therefore, the GCF of 33/14,836/60,282/800 is 1/16800.
To find the highest common factor of 33,836,282, we have to find the factors of both numbers and list the highest common factor.
The factors of 33 are 1, 3, 11, 33
The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282
The HCF of 33,836,282 is 1.
Lets's calculate GCF of 33,836,282
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 33,836,282 By Matching Biggest Common Factor Method
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 836
:1,2,4,11,19,22,38,44,76,209,418,836
Now, list down the factors of 282
:1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 33,836,282 . The biggest common factor number is the GCF number.
So the greatest common factor 33,836,282 is 1.
Lets's calculate LCM of 14,60,800
| 2 | 14, 60, 800 |
| 2 | 7, 30, 400 |
| 5 | 7, 15, 200 |
| 7, 3, 40 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 3 x 40 = 16800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16800
Therefore, the GCF of Fractions 33/14,836/60,282/800 is 1/16800
Least Common Multiple of 14,60,800 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 14,60,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,60,800) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(14,60,800) x common factors =2 x 20 = 40
LCM(14,60,800) = ( 14 × 60 × 800 ) / 40
LCM(14,60,800) = 672000 / 40
LCM(14,60,800) = 16800
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 33/14, 836/60, 282/800
1. What is the HCF of 33,836,282?
The HCF of 33,836,282 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 33/14, 836/60, 282/800?
Answer: GCF of Numerators as per given numbers 33/14, 836/60, 282/800 is
GCF of Numerators i.e. for 33,836,282 is 1
LCM of denominators i.e. for 14,60,800 is 16800.
Thus, GCF of Fractions is 1/16800.Finally, GCF of Fractions for 33/14, 836/60, 282/800 is 1/16800.