GCF of 4910/605, 1998/5510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4910/605, 1998/5510 i.e 2/666710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4910/605, 1998/5510.
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 4910/605,1998/5510?
Given fractions are 4910/605,1998/5510
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 4910/605,1998/5510, numerators are 4910,1998
Denominators are 605,5510
The GCF of 4910,1998 is 2 .
LCM of 605,5510 is 666710.
The greatest common factor of 4910/605,1998/5510 = [GCF of 4910,1998]/[LCM of 605,5510]= 2/666710
Therefore, the GCF of 4910/605,1998/5510 is 2/666710.
To find the highest common factor of 4910,1998, we have to find the factors of both numbers and list the highest common factor.
The factors of 4910 are 1, 2, 5, 10, 491, 982, 2455, 4910
The factors of 1998 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998
The HCF of 4910,1998 is 2.
Lets's calculate GCF of 4910,1998
| 2 | 4910, 1998 |
| 2455, 999 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4910,1998 By Matching Biggest Common Factor Method
Now, list down the factors of 4910
:1,2,5,10,491,982,2455,4910
Now, list down the factors of 1998
:1,2,3,6,9,18,27,37,54,74,111,222,333,666,999,1998
Greatest Common Factor
We found the factors 4910,1998 . The biggest common factor number is the GCF number.
So the greatest common factor 4910,1998 is 2.
Lets's calculate LCM of 605,5510
| 5 | 605, 5510 |
| 121, 1102 |
∴ So the LCM of the given numbers is 5 x 121 x 1102 = 666710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/666710
Therefore, the GCF of Fractions 4910/605,1998/5510 is 2/666710
Least Common Multiple of 605,5510 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 605,5510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,5510) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(605,5510) x common factors =5 x 1 = 5
LCM(605,5510) = ( 605 × 5510 ) / 5
LCM(605,5510) = 3333550 / 5
LCM(605,5510) = 666710
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FAQs on GCF of Fractions of 4910/605, 1998/5510
1. What is the HCF of 4910,1998?
The HCF of 4910,1998 is 2
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 4910/605, 1998/5510?
Answer: GCF of Numerators as per given numbers 4910/605, 1998/5510 is
GCF of Numerators i.e. for 4910,1998 is 2
LCM of denominators i.e. for 605,5510 is 666710.
Thus, GCF of Fractions is 2/666710.Finally, GCF of Fractions for 4910/605, 1998/5510 is 2/666710.