GCF of 9959/609, 6214/4613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9959/609, 6214/4613 i.e 1/401331 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9959/609, 6214/4613.
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 9959/609,6214/4613?
Given fractions are 9959/609,6214/4613
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 9959/609,6214/4613, numerators are 9959,6214
Denominators are 609,4613
The GCF of 9959,6214 is 1 .
LCM of 609,4613 is 401331.
The greatest common factor of 9959/609,6214/4613 = [GCF of 9959,6214]/[LCM of 609,4613]= 1/401331
Therefore, the GCF of 9959/609,6214/4613 is 1/401331.
To find the highest common factor of 9959,6214, we have to find the factors of both numbers and list the highest common factor.
The factors of 9959 are 1, 23, 433, 9959
The factors of 6214 are 1, 2, 13, 26, 239, 478, 3107, 6214
The HCF of 9959,6214 is 1.
Lets's calculate GCF of 9959,6214
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9959,6214 By Matching Biggest Common Factor Method
Now, list down the factors of 9959
:1,23,433,9959
Now, list down the factors of 6214
:1,2,13,26,239,478,3107,6214
Greatest Common Factor
We found the factors 9959,6214 . The biggest common factor number is the GCF number.
So the greatest common factor 9959,6214 is 1.
Lets's calculate LCM of 609,4613
| 7 | 609, 4613 |
| 87, 659 |
∴ So the LCM of the given numbers is 7 x 87 x 659 = 401331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401331
Therefore, the GCF of Fractions 9959/609,6214/4613 is 1/401331
Least Common Multiple of 609,4613 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 609,4613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,4613) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(609,4613) x common factors =7 x 1 = 7
LCM(609,4613) = ( 609 × 4613 ) / 7
LCM(609,4613) = 2809317 / 7
LCM(609,4613) = 401331
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FAQs on GCF of Fractions of 9959/609, 6214/4613
1. What is the HCF of 9959,6214?
The HCF of 9959,6214 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 9959/609, 6214/4613?
Answer: GCF of Numerators as per given numbers 9959/609, 6214/4613 is
GCF of Numerators i.e. for 9959,6214 is 1
LCM of denominators i.e. for 609,4613 is 401331.
Thus, GCF of Fractions is 1/401331.Finally, GCF of Fractions for 9959/609, 6214/4613 is 1/401331.