GCF of 9979/617, 3978/8050
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9979/617, 3978/8050 i.e 17/4966850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9979/617, 3978/8050.
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 9979/617,3978/8050?
Given fractions are 9979/617,3978/8050
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 9979/617,3978/8050, numerators are 9979,3978
Denominators are 617,8050
The GCF of 9979,3978 is 17 .
LCM of 617,8050 is 4966850.
The greatest common factor of 9979/617,3978/8050 = [GCF of 9979,3978]/[LCM of 617,8050]= 17/4966850
Therefore, the GCF of 9979/617,3978/8050 is 17/4966850.
To find the highest common factor of 9979,3978, we have to find the factors of both numbers and list the highest common factor.
The factors of 9979 are 1, 17, 587, 9979
The factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978
The HCF of 9979,3978 is 17.
Lets's calculate GCF of 9979,3978
| 17 | 9979, 3978 |
| 587, 234 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 9979,3978 By Matching Biggest Common Factor Method
Now, list down the factors of 9979
:1,17,587,9979
Now, list down the factors of 3978
:1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978
Greatest Common Factor
We found the factors 9979,3978 . The biggest common factor number is the GCF number.
So the greatest common factor 9979,3978 is 17.
Lets's calculate LCM of 617,8050
Given numbers has no common factors except 1. So, there LCM is their product i.e 4966850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/4966850
Therefore, the GCF of Fractions 9979/617,3978/8050 is 17/4966850
Least Common Multiple of 617,8050 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 617,8050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,8050) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,8050) x common factors =1 x 1 = 1
LCM(617,8050) = ( 617 × 8050 ) / 1
LCM(617,8050) = 4966850 / 1
LCM(617,8050) = 4966850
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FAQs on GCF of Fractions of 9979/617, 3978/8050
1. What is the HCF of 9979,3978?
The HCF of 9979,3978 is 17
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 9979/617, 3978/8050?
Answer: GCF of Numerators as per given numbers 9979/617, 3978/8050 is
GCF of Numerators i.e. for 9979,3978 is 17
LCM of denominators i.e. for 617,8050 is 4966850.
Thus, GCF of Fractions is 17/4966850.Finally, GCF of Fractions for 9979/617, 3978/8050 is 17/4966850.