GCF of 9919/239, 7670/9175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9919/239, 7670/9175 i.e 13/2192825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9919/239, 7670/9175.
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 9919/239,7670/9175?
Given fractions are 9919/239,7670/9175
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 9919/239,7670/9175, numerators are 9919,7670
Denominators are 239,9175
The GCF of 9919,7670 is 13 .
LCM of 239,9175 is 2192825.
The greatest common factor of 9919/239,7670/9175 = [GCF of 9919,7670]/[LCM of 239,9175]= 13/2192825
Therefore, the GCF of 9919/239,7670/9175 is 13/2192825.
To find the highest common factor of 9919,7670, we have to find the factors of both numbers and list the highest common factor.
The factors of 9919 are 1, 7, 13, 91, 109, 763, 1417, 9919
The factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670
The HCF of 9919,7670 is 13.
Lets's calculate GCF of 9919,7670
| 13 | 9919, 7670 |
| 763, 590 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9919,7670 By Matching Biggest Common Factor Method
Now, list down the factors of 9919
:1,7,13,91,109,763,1417,9919
Now, list down the factors of 7670
:1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670
Greatest Common Factor
We found the factors 9919,7670 . The biggest common factor number is the GCF number.
So the greatest common factor 9919,7670 is 13.
Lets's calculate LCM of 239,9175
Given numbers has no common factors except 1. So, there LCM is their product i.e 2192825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2192825
Therefore, the GCF of Fractions 9919/239,7670/9175 is 13/2192825
Least Common Multiple of 239,9175 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 239,9175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,9175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,9175) x common factors =1 x 1 = 1
LCM(239,9175) = ( 239 × 9175 ) / 1
LCM(239,9175) = 2192825 / 1
LCM(239,9175) = 2192825
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FAQs on GCF of Fractions of 9919/239, 7670/9175
1. What is the HCF of 9919,7670?
The HCF of 9919,7670 is 13
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 9919/239, 7670/9175?
Answer: GCF of Numerators as per given numbers 9919/239, 7670/9175 is
GCF of Numerators i.e. for 9919,7670 is 13
LCM of denominators i.e. for 239,9175 is 2192825.
Thus, GCF of Fractions is 13/2192825.Finally, GCF of Fractions for 9919/239, 7670/9175 is 13/2192825.