GCF of 1205/212, 8362/4686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1205/212, 8362/4686 i.e 1/496716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1205/212, 8362/4686.
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 1205/212,8362/4686?
Given fractions are 1205/212,8362/4686
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 1205/212,8362/4686, numerators are 1205,8362
Denominators are 212,4686
The GCF of 1205,8362 is 1 .
LCM of 212,4686 is 496716.
The greatest common factor of 1205/212,8362/4686 = [GCF of 1205,8362]/[LCM of 212,4686]= 1/496716
Therefore, the GCF of 1205/212,8362/4686 is 1/496716.
To find the highest common factor of 1205,8362, we have to find the factors of both numbers and list the highest common factor.
The factors of 1205 are 1, 5, 241, 1205
The factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362
The HCF of 1205,8362 is 1.
Lets's calculate GCF of 1205,8362
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1205,8362 By Matching Biggest Common Factor Method
Now, list down the factors of 1205
:1,5,241,1205
Now, list down the factors of 8362
:1,2,37,74,113,226,4181,8362
Greatest Common Factor
We found the factors 1205,8362 . The biggest common factor number is the GCF number.
So the greatest common factor 1205,8362 is 1.
Lets's calculate LCM of 212,4686
| 2 | 212, 4686 |
| 106, 2343 |
∴ So the LCM of the given numbers is 2 x 106 x 2343 = 496716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496716
Therefore, the GCF of Fractions 1205/212,8362/4686 is 1/496716
Least Common Multiple of 212,4686 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 212,4686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,4686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(212,4686) x common factors =2 x 1 = 2
LCM(212,4686) = ( 212 × 4686 ) / 2
LCM(212,4686) = 993432 / 2
LCM(212,4686) = 496716
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FAQs on GCF of Fractions of 1205/212, 8362/4686
1. What is the HCF of 1205,8362?
The HCF of 1205,8362 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 1205/212, 8362/4686?
Answer: GCF of Numerators as per given numbers 1205/212, 8362/4686 is
GCF of Numerators i.e. for 1205,8362 is 1
LCM of denominators i.e. for 212,4686 is 496716.
Thus, GCF of Fractions is 1/496716.Finally, GCF of Fractions for 1205/212, 8362/4686 is 1/496716.