GCF of 1366/601, 1214/2474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1366/601, 1214/2474 i.e 2/1486874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1366/601, 1214/2474.
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 1366/601,1214/2474?
Given fractions are 1366/601,1214/2474
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 1366/601,1214/2474, numerators are 1366,1214
Denominators are 601,2474
The GCF of 1366,1214 is 2 .
LCM of 601,2474 is 1486874.
The greatest common factor of 1366/601,1214/2474 = [GCF of 1366,1214]/[LCM of 601,2474]= 2/1486874
Therefore, the GCF of 1366/601,1214/2474 is 2/1486874.
To find the highest common factor of 1366,1214, we have to find the factors of both numbers and list the highest common factor.
The factors of 1366 are 1, 2, 683, 1366
The factors of 1214 are 1, 2, 607, 1214
The HCF of 1366,1214 is 2.
Lets's calculate GCF of 1366,1214
| 2 | 1366, 1214 |
| 683, 607 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1366,1214 By Matching Biggest Common Factor Method
Now, list down the factors of 1366
:1,2,683,1366
Now, list down the factors of 1214
:1,2,607,1214
Greatest Common Factor
We found the factors 1366,1214 . The biggest common factor number is the GCF number.
So the greatest common factor 1366,1214 is 2.
Lets's calculate LCM of 601,2474
Given numbers has no common factors except 1. So, there LCM is their product i.e 1486874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1486874
Therefore, the GCF of Fractions 1366/601,1214/2474 is 2/1486874
Least Common Multiple of 601,2474 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 601,2474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,2474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,2474) x common factors =1 x 1 = 1
LCM(601,2474) = ( 601 × 2474 ) / 1
LCM(601,2474) = 1486874 / 1
LCM(601,2474) = 1486874
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FAQs on GCF of Fractions of 1366/601, 1214/2474
1. What is the HCF of 1366,1214?
The HCF of 1366,1214 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 1366/601, 1214/2474?
Answer: GCF of Numerators as per given numbers 1366/601, 1214/2474 is
GCF of Numerators i.e. for 1366,1214 is 2
LCM of denominators i.e. for 601,2474 is 1486874.
Thus, GCF of Fractions is 2/1486874.Finally, GCF of Fractions for 1366/601, 1214/2474 is 2/1486874.