GCF of 20/48, 902/33, 836/785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/48, 902/33, 836/785 i.e 2/414480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/48, 902/33, 836/785.
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 20/48,902/33,836/785?
Given fractions are 20/48,902/33,836/785
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 20/48,902/33,836/785, numerators are 20,902,836
Denominators are 48,33,785
The GCF of 20,902,836 is 2 .
LCM of 48,33,785 is 414480.
The greatest common factor of 20/48,902/33,836/785 = [GCF of 20,902,836]/[LCM of 48,33,785]= 2/414480
Therefore, the GCF of 20/48,902/33,836/785 is 2/414480.
To find the highest common factor of 20,902,836, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902
The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
The HCF of 20,902,836 is 2.
Lets's calculate GCF of 20,902,836
| 2 | 20, 902, 836 |
| 10, 451, 418 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 20,902,836 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 902
:1,2,11,22,41,82,451,902
Now, list down the factors of 836
:1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 20,902,836 . The biggest common factor number is the GCF number.
So the greatest common factor 20,902,836 is 2.
Lets's calculate LCM of 48,33,785
| 3 | 48, 33, 785 |
| 16, 11, 785 |
∴ So the LCM of the given numbers is 3 x 16 x 11 x 785 = 414480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/414480
Therefore, the GCF of Fractions 20/48,902/33,836/785 is 2/414480
Least Common Multiple of 48,33,785 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 48,33,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,33,785) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(48,33,785) x common factors =1 x 3 = 3
LCM(48,33,785) = ( 48 × 33 × 785 ) / 3
LCM(48,33,785) = 1243440 / 3
LCM(48,33,785) = 414480
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 20/48, 902/33, 836/785
1. What is the HCF of 20,902,836?
The HCF of 20,902,836 is 2
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 20/48, 902/33, 836/785?
Answer: GCF of Numerators as per given numbers 20/48, 902/33, 836/785 is
GCF of Numerators i.e. for 20,902,836 is 2
LCM of denominators i.e. for 48,33,785 is 414480.
Thus, GCF of Fractions is 2/414480.Finally, GCF of Fractions for 20/48, 902/33, 836/785 is 2/414480.