GCF of 9613/860, 3456/9069
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9613/860, 3456/9069 i.e 1/7799340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9613/860, 3456/9069.
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 9613/860,3456/9069?
Given fractions are 9613/860,3456/9069
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 9613/860,3456/9069, numerators are 9613,3456
Denominators are 860,9069
The GCF of 9613,3456 is 1 .
LCM of 860,9069 is 7799340.
The greatest common factor of 9613/860,3456/9069 = [GCF of 9613,3456]/[LCM of 860,9069]= 1/7799340
Therefore, the GCF of 9613/860,3456/9069 is 1/7799340.
To find the highest common factor of 9613,3456, we have to find the factors of both numbers and list the highest common factor.
The factors of 9613 are 1, 9613
The factors of 3456 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728, 3456
The HCF of 9613,3456 is 1.
Lets's calculate GCF of 9613,3456
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9613,3456 By Matching Biggest Common Factor Method
Now, list down the factors of 9613
:1,9613
Now, list down the factors of 3456
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,288,384,432,576,864,1152,1728,3456
Greatest Common Factor
We found the factors 9613,3456 . The biggest common factor number is the GCF number.
So the greatest common factor 9613,3456 is 1.
Lets's calculate LCM of 860,9069
Given numbers has no common factors except 1. So, there LCM is their product i.e 7799340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7799340
Therefore, the GCF of Fractions 9613/860,3456/9069 is 1/7799340
Least Common Multiple of 860,9069 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 860,9069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,9069) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(860,9069) x common factors =1 x 1 = 1
LCM(860,9069) = ( 860 × 9069 ) / 1
LCM(860,9069) = 7799340 / 1
LCM(860,9069) = 7799340
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FAQs on GCF of Fractions of 9613/860, 3456/9069
1. What is the HCF of 9613,3456?
The HCF of 9613,3456 is 1
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 9613/860, 3456/9069?
Answer: GCF of Numerators as per given numbers 9613/860, 3456/9069 is
GCF of Numerators i.e. for 9613,3456 is 1
LCM of denominators i.e. for 860,9069 is 7799340.
Thus, GCF of Fractions is 1/7799340.Finally, GCF of Fractions for 9613/860, 3456/9069 is 1/7799340.