GCF of 4910/366, 9470/8607
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4910/366, 9470/8607 i.e 10/1050054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4910/366, 9470/8607.
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 4910/366,9470/8607?
Given fractions are 4910/366,9470/8607
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 4910/366,9470/8607, numerators are 4910,9470
Denominators are 366,8607
The GCF of 4910,9470 is 10 .
LCM of 366,8607 is 1050054.
The greatest common factor of 4910/366,9470/8607 = [GCF of 4910,9470]/[LCM of 366,8607]= 10/1050054
Therefore, the GCF of 4910/366,9470/8607 is 10/1050054.
To find the highest common factor of 4910,9470, 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 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470
The HCF of 4910,9470 is 10.
Lets's calculate GCF of 4910,9470
| 2 | 4910, 9470 |
| 5 | 2455, 4735 |
| 491, 947 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4910,9470 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 9470
:1,2,5,10,947,1894,4735,9470
Greatest Common Factor
We found the factors 4910,9470 . The biggest common factor number is the GCF number.
So the greatest common factor 4910,9470 is 10.
Lets's calculate LCM of 366,8607
| 3 | 366, 8607 |
| 122, 2869 |
∴ So the LCM of the given numbers is 3 x 122 x 2869 = 1050054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1050054
Therefore, the GCF of Fractions 4910/366,9470/8607 is 10/1050054
Least Common Multiple of 366,8607 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 366,8607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,8607) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(366,8607) x common factors =3 x 1 = 3
LCM(366,8607) = ( 366 × 8607 ) / 3
LCM(366,8607) = 3150162 / 3
LCM(366,8607) = 1050054
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FAQs on GCF of Fractions of 4910/366, 9470/8607
1. What is the HCF of 4910,9470?
The HCF of 4910,9470 is 10
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 4910/366, 9470/8607?
Answer: GCF of Numerators as per given numbers 4910/366, 9470/8607 is
GCF of Numerators i.e. for 4910,9470 is 10
LCM of denominators i.e. for 366,8607 is 1050054.
Thus, GCF of Fractions is 10/1050054.Finally, GCF of Fractions for 4910/366, 9470/8607 is 10/1050054.