GCF of 6411/508, 9686/5590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6411/508, 9686/5590 i.e 1/1419860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6411/508, 9686/5590.
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 6411/508,9686/5590?
Given fractions are 6411/508,9686/5590
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 6411/508,9686/5590, numerators are 6411,9686
Denominators are 508,5590
The GCF of 6411,9686 is 1 .
LCM of 508,5590 is 1419860.
The greatest common factor of 6411/508,9686/5590 = [GCF of 6411,9686]/[LCM of 508,5590]= 1/1419860
Therefore, the GCF of 6411/508,9686/5590 is 1/1419860.
To find the highest common factor of 6411,9686, we have to find the factors of both numbers and list the highest common factor.
The factors of 6411 are 1, 3, 2137, 6411
The factors of 9686 are 1, 2, 29, 58, 167, 334, 4843, 9686
The HCF of 6411,9686 is 1.
Lets's calculate GCF of 6411,9686
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6411,9686 By Matching Biggest Common Factor Method
Now, list down the factors of 6411
:1,3,2137,6411
Now, list down the factors of 9686
:1,2,29,58,167,334,4843,9686
Greatest Common Factor
We found the factors 6411,9686 . The biggest common factor number is the GCF number.
So the greatest common factor 6411,9686 is 1.
Lets's calculate LCM of 508,5590
| 2 | 508, 5590 |
| 254, 2795 |
∴ So the LCM of the given numbers is 2 x 254 x 2795 = 1419860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1419860
Therefore, the GCF of Fractions 6411/508,9686/5590 is 1/1419860
Least Common Multiple of 508,5590 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 508,5590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,5590) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(508,5590) x common factors =2 x 1 = 2
LCM(508,5590) = ( 508 × 5590 ) / 2
LCM(508,5590) = 2839720 / 2
LCM(508,5590) = 1419860
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FAQs on GCF of Fractions of 6411/508, 9686/5590
1. What is the HCF of 6411,9686?
The HCF of 6411,9686 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 6411/508, 9686/5590?
Answer: GCF of Numerators as per given numbers 6411/508, 9686/5590 is
GCF of Numerators i.e. for 6411,9686 is 1
LCM of denominators i.e. for 508,5590 is 1419860.
Thus, GCF of Fractions is 1/1419860.Finally, GCF of Fractions for 6411/508, 9686/5590 is 1/1419860.