GCF of 4446/790, 9984/3711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4446/790, 9984/3711 i.e 78/2931690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4446/790, 9984/3711.
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 4446/790,9984/3711?
Given fractions are 4446/790,9984/3711
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 4446/790,9984/3711, numerators are 4446,9984
Denominators are 790,3711
The GCF of 4446,9984 is 78 .
LCM of 790,3711 is 2931690.
The greatest common factor of 4446/790,9984/3711 = [GCF of 4446,9984]/[LCM of 790,3711]= 78/2931690
Therefore, the GCF of 4446/790,9984/3711 is 78/2931690.
To find the highest common factor of 4446,9984, we have to find the factors of both numbers and list the highest common factor.
The factors of 4446 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446
The factors of 9984 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 256, 312, 384, 416, 624, 768, 832, 1248, 1664, 2496, 3328, 4992, 9984
The HCF of 4446,9984 is 78.
Lets's calculate GCF of 4446,9984
| 2 | 4446, 9984 |
| 3 | 2223, 4992 |
| 13 | 741, 1664 |
| 57, 128 |
∴ So the GCF of the given numbers is 2 x 3 x 13 = 78
Greatest Common Factor of 4446,9984 By Matching Biggest Common Factor Method
Now, list down the factors of 4446
:1,2,3,6,9,13,18,19,26,38,39,57,78,114,117,171,234,247,342,494,741,1482,2223,4446
Now, list down the factors of 9984
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,256,312,384,416,624,768,832,1248,1664,2496,3328,4992,9984
Greatest Common Factor
We found the factors 4446,9984 . The biggest common factor number is the GCF number.
So the greatest common factor 4446,9984 is 78.
Lets's calculate LCM of 790,3711
Given numbers has no common factors except 1. So, there LCM is their product i.e 2931690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/2931690
Therefore, the GCF of Fractions 4446/790,9984/3711 is 78/2931690
Least Common Multiple of 790,3711 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 790,3711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,3711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(790,3711) x common factors =1 x 1 = 1
LCM(790,3711) = ( 790 × 3711 ) / 1
LCM(790,3711) = 2931690 / 1
LCM(790,3711) = 2931690
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4446/790, 9984/3711
1. What is the HCF of 4446,9984?
The HCF of 4446,9984 is 78
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 4446/790, 9984/3711?
Answer: GCF of Numerators as per given numbers 4446/790, 9984/3711 is
GCF of Numerators i.e. for 4446,9984 is 78
LCM of denominators i.e. for 790,3711 is 2931690.
Thus, GCF of Fractions is 78/2931690.Finally, GCF of Fractions for 4446/790, 9984/3711 is 78/2931690.