GCF of 9610/387, 8240/5855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9610/387, 8240/5855 i.e 10/2265885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9610/387, 8240/5855.
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 9610/387,8240/5855?
Given fractions are 9610/387,8240/5855
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 9610/387,8240/5855, numerators are 9610,8240
Denominators are 387,5855
The GCF of 9610,8240 is 10 .
LCM of 387,5855 is 2265885.
The greatest common factor of 9610/387,8240/5855 = [GCF of 9610,8240]/[LCM of 387,5855]= 10/2265885
Therefore, the GCF of 9610/387,8240/5855 is 10/2265885.
To find the highest common factor of 9610,8240, we have to find the factors of both numbers and list the highest common factor.
The factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610
The factors of 8240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 103, 206, 412, 515, 824, 1030, 1648, 2060, 4120, 8240
The HCF of 9610,8240 is 10.
Lets's calculate GCF of 9610,8240
| 2 | 9610, 8240 |
| 5 | 4805, 4120 |
| 961, 824 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9610,8240 By Matching Biggest Common Factor Method
Now, list down the factors of 9610
:1,2,5,10,31,62,155,310,961,1922,4805,9610
Now, list down the factors of 8240
:1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240
Greatest Common Factor
We found the factors 9610,8240 . The biggest common factor number is the GCF number.
So the greatest common factor 9610,8240 is 10.
Lets's calculate LCM of 387,5855
Given numbers has no common factors except 1. So, there LCM is their product i.e 2265885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2265885
Therefore, the GCF of Fractions 9610/387,8240/5855 is 10/2265885
Least Common Multiple of 387,5855 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 387,5855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,5855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,5855) x common factors =1 x 1 = 1
LCM(387,5855) = ( 387 × 5855 ) / 1
LCM(387,5855) = 2265885 / 1
LCM(387,5855) = 2265885
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FAQs on GCF of Fractions of 9610/387, 8240/5855
1. What is the HCF of 9610,8240?
The HCF of 9610,8240 is 10
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 9610/387, 8240/5855?
Answer: GCF of Numerators as per given numbers 9610/387, 8240/5855 is
GCF of Numerators i.e. for 9610,8240 is 10
LCM of denominators i.e. for 387,5855 is 2265885.
Thus, GCF of Fractions is 10/2265885.Finally, GCF of Fractions for 9610/387, 8240/5855 is 10/2265885.