GCF of 5196/212, 2016/3863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5196/212, 2016/3863 i.e 12/818956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5196/212, 2016/3863.
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 5196/212,2016/3863?
Given fractions are 5196/212,2016/3863
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 5196/212,2016/3863, numerators are 5196,2016
Denominators are 212,3863
The GCF of 5196,2016 is 12 .
LCM of 212,3863 is 818956.
The greatest common factor of 5196/212,2016/3863 = [GCF of 5196,2016]/[LCM of 212,3863]= 12/818956
Therefore, the GCF of 5196/212,2016/3863 is 12/818956.
To find the highest common factor of 5196,2016, we have to find the factors of both numbers and list the highest common factor.
The factors of 5196 are 1, 2, 3, 4, 6, 12, 433, 866, 1299, 1732, 2598, 5196
The factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016
The HCF of 5196,2016 is 12.
Lets's calculate GCF of 5196,2016
| 2 | 5196, 2016 |
| 2 | 2598, 1008 |
| 3 | 1299, 504 |
| 433, 168 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5196,2016 By Matching Biggest Common Factor Method
Now, list down the factors of 5196
:1,2,3,4,6,12,433,866,1299,1732,2598,5196
Now, list down the factors of 2016
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016
Greatest Common Factor
We found the factors 5196,2016 . The biggest common factor number is the GCF number.
So the greatest common factor 5196,2016 is 12.
Lets's calculate LCM of 212,3863
Given numbers has no common factors except 1. So, there LCM is their product i.e 818956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/818956
Therefore, the GCF of Fractions 5196/212,2016/3863 is 12/818956
Least Common Multiple of 212,3863 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 212,3863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,3863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,3863) x common factors =1 x 1 = 1
LCM(212,3863) = ( 212 × 3863 ) / 1
LCM(212,3863) = 818956 / 1
LCM(212,3863) = 818956
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5196/212, 2016/3863
1. What is the HCF of 5196,2016?
The HCF of 5196,2016 is 12
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 5196/212, 2016/3863?
Answer: GCF of Numerators as per given numbers 5196/212, 2016/3863 is
GCF of Numerators i.e. for 5196,2016 is 12
LCM of denominators i.e. for 212,3863 is 818956.
Thus, GCF of Fractions is 12/818956.Finally, GCF of Fractions for 5196/212, 2016/3863 is 12/818956.