GCF of 9916/789, 1640/178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9916/789, 1640/178 i.e 4/140442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9916/789, 1640/178.
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 9916/789,1640/178?
Given fractions are 9916/789,1640/178
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 9916/789,1640/178, numerators are 9916,1640
Denominators are 789,178
The GCF of 9916,1640 is 4 .
LCM of 789,178 is 140442.
The greatest common factor of 9916/789,1640/178 = [GCF of 9916,1640]/[LCM of 789,178]= 4/140442
Therefore, the GCF of 9916/789,1640/178 is 4/140442.
To find the highest common factor of 9916,1640, we have to find the factors of both numbers and list the highest common factor.
The factors of 9916 are 1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916
The factors of 1640 are 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640
The HCF of 9916,1640 is 4.
Lets's calculate GCF of 9916,1640
| 2 | 9916, 1640 |
| 2 | 4958, 820 |
| 2479, 410 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9916,1640 By Matching Biggest Common Factor Method
Now, list down the factors of 9916
:1,2,4,37,67,74,134,148,268,2479,4958,9916
Now, list down the factors of 1640
:1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640
Greatest Common Factor
We found the factors 9916,1640 . The biggest common factor number is the GCF number.
So the greatest common factor 9916,1640 is 4.
Lets's calculate LCM of 789,178
Given numbers has no common factors except 1. So, there LCM is their product i.e 140442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/140442
Therefore, the GCF of Fractions 9916/789,1640/178 is 4/140442
Least Common Multiple of 789,178 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 789,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(789,178) x common factors =1 x 1 = 1
LCM(789,178) = ( 789 × 178 ) / 1
LCM(789,178) = 140442 / 1
LCM(789,178) = 140442
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FAQs on GCF of Fractions of 9916/789, 1640/178
1. What is the HCF of 9916,1640?
The HCF of 9916,1640 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 9916/789, 1640/178?
Answer: GCF of Numerators as per given numbers 9916/789, 1640/178 is
GCF of Numerators i.e. for 9916,1640 is 4
LCM of denominators i.e. for 789,178 is 140442.
Thus, GCF of Fractions is 4/140442.Finally, GCF of Fractions for 9916/789, 1640/178 is 4/140442.