GCF of 9608/995, 2014/975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9608/995, 2014/975 i.e 2/194025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9608/995, 2014/975.
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 9608/995,2014/975?
Given fractions are 9608/995,2014/975
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 9608/995,2014/975, numerators are 9608,2014
Denominators are 995,975
The GCF of 9608,2014 is 2 .
LCM of 995,975 is 194025.
The greatest common factor of 9608/995,2014/975 = [GCF of 9608,2014]/[LCM of 995,975]= 2/194025
Therefore, the GCF of 9608/995,2014/975 is 2/194025.
To find the highest common factor of 9608,2014, we have to find the factors of both numbers and list the highest common factor.
The factors of 9608 are 1, 2, 4, 8, 1201, 2402, 4804, 9608
The factors of 2014 are 1, 2, 19, 38, 53, 106, 1007, 2014
The HCF of 9608,2014 is 2.
Lets's calculate GCF of 9608,2014
| 2 | 9608, 2014 |
| 4804, 1007 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9608,2014 By Matching Biggest Common Factor Method
Now, list down the factors of 9608
:1,2,4,8,1201,2402,4804,9608
Now, list down the factors of 2014
:1,2,19,38,53,106,1007,2014
Greatest Common Factor
We found the factors 9608,2014 . The biggest common factor number is the GCF number.
So the greatest common factor 9608,2014 is 2.
Lets's calculate LCM of 995,975
| 5 | 995, 975 |
| 199, 195 |
∴ So the LCM of the given numbers is 5 x 199 x 195 = 194025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/194025
Therefore, the GCF of Fractions 9608/995,2014/975 is 2/194025
Least Common Multiple of 995,975 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 995,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,975) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(995,975) x common factors =5 x 1 = 5
LCM(995,975) = ( 995 × 975 ) / 5
LCM(995,975) = 970125 / 5
LCM(995,975) = 194025
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FAQs on GCF of Fractions of 9608/995, 2014/975
1. What is the HCF of 9608,2014?
The HCF of 9608,2014 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 9608/995, 2014/975?
Answer: GCF of Numerators as per given numbers 9608/995, 2014/975 is
GCF of Numerators i.e. for 9608,2014 is 2
LCM of denominators i.e. for 995,975 is 194025.
Thus, GCF of Fractions is 2/194025.Finally, GCF of Fractions for 9608/995, 2014/975 is 2/194025.