GCF of 1359/412, 5135/3860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1359/412, 5135/3860 i.e 1/397580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1359/412, 5135/3860.
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 1359/412,5135/3860?
Given fractions are 1359/412,5135/3860
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 1359/412,5135/3860, numerators are 1359,5135
Denominators are 412,3860
The GCF of 1359,5135 is 1 .
LCM of 412,3860 is 397580.
The greatest common factor of 1359/412,5135/3860 = [GCF of 1359,5135]/[LCM of 412,3860]= 1/397580
Therefore, the GCF of 1359/412,5135/3860 is 1/397580.
To find the highest common factor of 1359,5135, we have to find the factors of both numbers and list the highest common factor.
The factors of 1359 are 1, 3, 9, 151, 453, 1359
The factors of 5135 are 1, 5, 13, 65, 79, 395, 1027, 5135
The HCF of 1359,5135 is 1.
Lets's calculate GCF of 1359,5135
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1359,5135 By Matching Biggest Common Factor Method
Now, list down the factors of 1359
:1,3,9,151,453,1359
Now, list down the factors of 5135
:1,5,13,65,79,395,1027,5135
Greatest Common Factor
We found the factors 1359,5135 . The biggest common factor number is the GCF number.
So the greatest common factor 1359,5135 is 1.
Lets's calculate LCM of 412,3860
| 2 | 412, 3860 |
| 2 | 206, 1930 |
| 103, 965 |
∴ So the LCM of the given numbers is 2 x 2 x 103 x 965 = 397580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397580
Therefore, the GCF of Fractions 1359/412,5135/3860 is 1/397580
Least Common Multiple of 412,3860 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 412,3860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,3860) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(412,3860) x common factors =4 x 1 = 4
LCM(412,3860) = ( 412 × 3860 ) / 4
LCM(412,3860) = 1590320 / 4
LCM(412,3860) = 397580
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FAQs on GCF of Fractions of 1359/412, 5135/3860
1. What is the HCF of 1359,5135?
The HCF of 1359,5135 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 1359/412, 5135/3860?
Answer: GCF of Numerators as per given numbers 1359/412, 5135/3860 is
GCF of Numerators i.e. for 1359,5135 is 1
LCM of denominators i.e. for 412,3860 is 397580.
Thus, GCF of Fractions is 1/397580.Finally, GCF of Fractions for 1359/412, 5135/3860 is 1/397580.