GCF of 4148/816, 1820/536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4148/816, 1820/536 i.e 4/54672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4148/816, 1820/536.
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 4148/816,1820/536?
Given fractions are 4148/816,1820/536
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 4148/816,1820/536, numerators are 4148,1820
Denominators are 816,536
The GCF of 4148,1820 is 4 .
LCM of 816,536 is 54672.
The greatest common factor of 4148/816,1820/536 = [GCF of 4148,1820]/[LCM of 816,536]= 4/54672
Therefore, the GCF of 4148/816,1820/536 is 4/54672.
To find the highest common factor of 4148,1820, we have to find the factors of both numbers and list the highest common factor.
The factors of 4148 are 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074, 4148
The factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820
The HCF of 4148,1820 is 4.
Lets's calculate GCF of 4148,1820
| 2 | 4148, 1820 |
| 2 | 2074, 910 |
| 1037, 455 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4148,1820 By Matching Biggest Common Factor Method
Now, list down the factors of 4148
:1,2,4,17,34,61,68,122,244,1037,2074,4148
Now, list down the factors of 1820
:1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820
Greatest Common Factor
We found the factors 4148,1820 . The biggest common factor number is the GCF number.
So the greatest common factor 4148,1820 is 4.
Lets's calculate LCM of 816,536
| 2 | 816, 536 |
| 2 | 408, 268 |
| 2 | 204, 134 |
| 102, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 102 x 67 = 54672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/54672
Therefore, the GCF of Fractions 4148/816,1820/536 is 4/54672
Least Common Multiple of 816,536 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 816,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,536) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(816,536) x common factors =8 x 1 = 8
LCM(816,536) = ( 816 × 536 ) / 8
LCM(816,536) = 437376 / 8
LCM(816,536) = 54672
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FAQs on GCF of Fractions of 4148/816, 1820/536
1. What is the HCF of 4148,1820?
The HCF of 4148,1820 is 4
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 4148/816, 1820/536?
Answer: GCF of Numerators as per given numbers 4148/816, 1820/536 is
GCF of Numerators i.e. for 4148,1820 is 4
LCM of denominators i.e. for 816,536 is 54672.
Thus, GCF of Fractions is 4/54672.Finally, GCF of Fractions for 4148/816, 1820/536 is 4/54672.