GCF of 2016/917, 3728/976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2016/917, 3728/976 i.e 16/894992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2016/917, 3728/976.
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 2016/917,3728/976?
Given fractions are 2016/917,3728/976
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 2016/917,3728/976, numerators are 2016,3728
Denominators are 917,976
The GCF of 2016,3728 is 16 .
LCM of 917,976 is 894992.
The greatest common factor of 2016/917,3728/976 = [GCF of 2016,3728]/[LCM of 917,976]= 16/894992
Therefore, the GCF of 2016/917,3728/976 is 16/894992.
To find the highest common factor of 2016,3728, 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 3728 are 1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728
The HCF of 2016,3728 is 16.
Lets's calculate GCF of 2016,3728
| 2 | 2016, 3728 |
| 2 | 1008, 1864 |
| 2 | 504, 932 |
| 2 | 252, 466 |
| 126, 233 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 2016,3728 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 3728
:1,2,4,8,16,233,466,932,1864,3728
Greatest Common Factor
We found the factors 2016,3728 . The biggest common factor number is the GCF number.
So the greatest common factor 2016,3728 is 16.
Lets's calculate LCM of 917,976
Given numbers has no common factors except 1. So, there LCM is their product i.e 894992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/894992
Therefore, the GCF of Fractions 2016/917,3728/976 is 16/894992
Least Common Multiple of 917,976 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 917,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,976) x common factors =1 x 1 = 1
LCM(917,976) = ( 917 × 976 ) / 1
LCM(917,976) = 894992 / 1
LCM(917,976) = 894992
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FAQs on GCF of Fractions of 2016/917, 3728/976
1. What is the HCF of 2016,3728?
The HCF of 2016,3728 is 16
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 2016/917, 3728/976?
Answer: GCF of Numerators as per given numbers 2016/917, 3728/976 is
GCF of Numerators i.e. for 2016,3728 is 16
LCM of denominators i.e. for 917,976 is 894992.
Thus, GCF of Fractions is 16/894992.Finally, GCF of Fractions for 2016/917, 3728/976 is 16/894992.