GCF of 7799/609, 6330/4242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7799/609, 6330/4242 i.e 1/123018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7799/609, 6330/4242.
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 7799/609,6330/4242?
Given fractions are 7799/609,6330/4242
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 7799/609,6330/4242, numerators are 7799,6330
Denominators are 609,4242
The GCF of 7799,6330 is 1 .
LCM of 609,4242 is 123018.
The greatest common factor of 7799/609,6330/4242 = [GCF of 7799,6330]/[LCM of 609,4242]= 1/123018
Therefore, the GCF of 7799/609,6330/4242 is 1/123018.
To find the highest common factor of 7799,6330, we have to find the factors of both numbers and list the highest common factor.
The factors of 7799 are 1, 11, 709, 7799
The factors of 6330 are 1, 2, 3, 5, 6, 10, 15, 30, 211, 422, 633, 1055, 1266, 2110, 3165, 6330
The HCF of 7799,6330 is 1.
Lets's calculate GCF of 7799,6330
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7799,6330 By Matching Biggest Common Factor Method
Now, list down the factors of 7799
:1,11,709,7799
Now, list down the factors of 6330
:1,2,3,5,6,10,15,30,211,422,633,1055,1266,2110,3165,6330
Greatest Common Factor
We found the factors 7799,6330 . The biggest common factor number is the GCF number.
So the greatest common factor 7799,6330 is 1.
Lets's calculate LCM of 609,4242
| 3 | 609, 4242 |
| 7 | 203, 1414 |
| 29, 202 |
∴ So the LCM of the given numbers is 3 x 7 x 29 x 202 = 123018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123018
Therefore, the GCF of Fractions 7799/609,6330/4242 is 1/123018
Least Common Multiple of 609,4242 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 609,4242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,4242) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(609,4242) x common factors =21 x 1 = 21
LCM(609,4242) = ( 609 × 4242 ) / 21
LCM(609,4242) = 2583378 / 21
LCM(609,4242) = 123018
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FAQs on GCF of Fractions of 7799/609, 6330/4242
1. What is the HCF of 7799,6330?
The HCF of 7799,6330 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 7799/609, 6330/4242?
Answer: GCF of Numerators as per given numbers 7799/609, 6330/4242 is
GCF of Numerators i.e. for 7799,6330 is 1
LCM of denominators i.e. for 609,4242 is 123018.
Thus, GCF of Fractions is 1/123018.Finally, GCF of Fractions for 7799/609, 6330/4242 is 1/123018.