GCF of 2350/418, 4190/3660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2350/418, 4190/3660 i.e 10/764940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2350/418, 4190/3660.
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 2350/418,4190/3660?
Given fractions are 2350/418,4190/3660
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 2350/418,4190/3660, numerators are 2350,4190
Denominators are 418,3660
The GCF of 2350,4190 is 10 .
LCM of 418,3660 is 764940.
The greatest common factor of 2350/418,4190/3660 = [GCF of 2350,4190]/[LCM of 418,3660]= 10/764940
Therefore, the GCF of 2350/418,4190/3660 is 10/764940.
To find the highest common factor of 2350,4190, we have to find the factors of both numbers and list the highest common factor.
The factors of 2350 are 1, 2, 5, 10, 25, 47, 50, 94, 235, 470, 1175, 2350
The factors of 4190 are 1, 2, 5, 10, 419, 838, 2095, 4190
The HCF of 2350,4190 is 10.
Lets's calculate GCF of 2350,4190
| 2 | 2350, 4190 |
| 5 | 1175, 2095 |
| 235, 419 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2350,4190 By Matching Biggest Common Factor Method
Now, list down the factors of 2350
:1,2,5,10,25,47,50,94,235,470,1175,2350
Now, list down the factors of 4190
:1,2,5,10,419,838,2095,4190
Greatest Common Factor
We found the factors 2350,4190 . The biggest common factor number is the GCF number.
So the greatest common factor 2350,4190 is 10.
Lets's calculate LCM of 418,3660
| 2 | 418, 3660 |
| 209, 1830 |
∴ So the LCM of the given numbers is 2 x 209 x 1830 = 764940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/764940
Therefore, the GCF of Fractions 2350/418,4190/3660 is 10/764940
Least Common Multiple of 418,3660 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 418,3660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,3660) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,3660) x common factors =2 x 1 = 2
LCM(418,3660) = ( 418 × 3660 ) / 2
LCM(418,3660) = 1529880 / 2
LCM(418,3660) = 764940
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FAQs on GCF of Fractions of 2350/418, 4190/3660
1. What is the HCF of 2350,4190?
The HCF of 2350,4190 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 2350/418, 4190/3660?
Answer: GCF of Numerators as per given numbers 2350/418, 4190/3660 is
GCF of Numerators i.e. for 2350,4190 is 10
LCM of denominators i.e. for 418,3660 is 764940.
Thus, GCF of Fractions is 10/764940.Finally, GCF of Fractions for 2350/418, 4190/3660 is 10/764940.