GCF of 2016/494, 3876/552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2016/494, 3876/552 i.e 12/136344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2016/494, 3876/552.
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 2016/494,3876/552?
Given fractions are 2016/494,3876/552
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 2016/494,3876/552, numerators are 2016,3876
Denominators are 494,552
The GCF of 2016,3876 is 12 .
LCM of 494,552 is 136344.
The greatest common factor of 2016/494,3876/552 = [GCF of 2016,3876]/[LCM of 494,552]= 12/136344
Therefore, the GCF of 2016/494,3876/552 is 12/136344.
To find the highest common factor of 2016,3876, we have to find the factors of both numbers and list the highest common factor.
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 factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876
The HCF of 2016,3876 is 12.
Lets's calculate GCF of 2016,3876
| 2 | 2016, 3876 |
| 2 | 1008, 1938 |
| 3 | 504, 969 |
| 168, 323 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2016,3876 By Matching Biggest Common Factor Method
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
Now, list down the factors of 3876
:1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876
Greatest Common Factor
We found the factors 2016,3876 . The biggest common factor number is the GCF number.
So the greatest common factor 2016,3876 is 12.
Lets's calculate LCM of 494,552
| 2 | 494, 552 |
| 247, 276 |
∴ So the LCM of the given numbers is 2 x 247 x 276 = 136344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/136344
Therefore, the GCF of Fractions 2016/494,3876/552 is 12/136344
Least Common Multiple of 494,552 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 494,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,552) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(494,552) x common factors =2 x 1 = 2
LCM(494,552) = ( 494 × 552 ) / 2
LCM(494,552) = 272688 / 2
LCM(494,552) = 136344
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FAQs on GCF of Fractions of 2016/494, 3876/552
1. What is the HCF of 2016,3876?
The HCF of 2016,3876 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 2016/494, 3876/552?
Answer: GCF of Numerators as per given numbers 2016/494, 3876/552 is
GCF of Numerators i.e. for 2016,3876 is 12
LCM of denominators i.e. for 494,552 is 136344.
Thus, GCF of Fractions is 12/136344.Finally, GCF of Fractions for 2016/494, 3876/552 is 12/136344.