GCF of 9602/996, 8270/7990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9602/996, 8270/7990 i.e 2/3979020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9602/996, 8270/7990.
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 9602/996,8270/7990?
Given fractions are 9602/996,8270/7990
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 9602/996,8270/7990, numerators are 9602,8270
Denominators are 996,7990
The GCF of 9602,8270 is 2 .
LCM of 996,7990 is 3979020.
The greatest common factor of 9602/996,8270/7990 = [GCF of 9602,8270]/[LCM of 996,7990]= 2/3979020
Therefore, the GCF of 9602/996,8270/7990 is 2/3979020.
To find the highest common factor of 9602,8270, we have to find the factors of both numbers and list the highest common factor.
The factors of 9602 are 1, 2, 4801, 9602
The factors of 8270 are 1, 2, 5, 10, 827, 1654, 4135, 8270
The HCF of 9602,8270 is 2.
Lets's calculate GCF of 9602,8270
| 2 | 9602, 8270 |
| 4801, 4135 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9602,8270 By Matching Biggest Common Factor Method
Now, list down the factors of 9602
:1,2,4801,9602
Now, list down the factors of 8270
:1,2,5,10,827,1654,4135,8270
Greatest Common Factor
We found the factors 9602,8270 . The biggest common factor number is the GCF number.
So the greatest common factor 9602,8270 is 2.
Lets's calculate LCM of 996,7990
| 2 | 996, 7990 |
| 498, 3995 |
∴ So the LCM of the given numbers is 2 x 498 x 3995 = 3979020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3979020
Therefore, the GCF of Fractions 9602/996,8270/7990 is 2/3979020
Least Common Multiple of 996,7990 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 996,7990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,7990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(996,7990) x common factors =2 x 1 = 2
LCM(996,7990) = ( 996 × 7990 ) / 2
LCM(996,7990) = 7958040 / 2
LCM(996,7990) = 3979020
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FAQs on GCF of Fractions of 9602/996, 8270/7990
1. What is the HCF of 9602,8270?
The HCF of 9602,8270 is 2
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 9602/996, 8270/7990?
Answer: GCF of Numerators as per given numbers 9602/996, 8270/7990 is
GCF of Numerators i.e. for 9602,8270 is 2
LCM of denominators i.e. for 996,7990 is 3979020.
Thus, GCF of Fractions is 2/3979020.Finally, GCF of Fractions for 9602/996, 8270/7990 is 2/3979020.