GCF of 1418/615, 3549/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1418/615, 3549/815 i.e 1/100245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1418/615, 3549/815.
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 1418/615,3549/815?
Given fractions are 1418/615,3549/815
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 1418/615,3549/815, numerators are 1418,3549
Denominators are 615,815
The GCF of 1418,3549 is 1 .
LCM of 615,815 is 100245.
The greatest common factor of 1418/615,3549/815 = [GCF of 1418,3549]/[LCM of 615,815]= 1/100245
Therefore, the GCF of 1418/615,3549/815 is 1/100245.
To find the highest common factor of 1418,3549, we have to find the factors of both numbers and list the highest common factor.
The factors of 1418 are 1, 2, 709, 1418
The factors of 3549 are 1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 3549
The HCF of 1418,3549 is 1.
Lets's calculate GCF of 1418,3549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1418,3549 By Matching Biggest Common Factor Method
Now, list down the factors of 1418
:1,2,709,1418
Now, list down the factors of 3549
:1,3,7,13,21,39,91,169,273,507,1183,3549
Greatest Common Factor
We found the factors 1418,3549 . The biggest common factor number is the GCF number.
So the greatest common factor 1418,3549 is 1.
Lets's calculate LCM of 615,815
| 5 | 615, 815 |
| 123, 163 |
∴ So the LCM of the given numbers is 5 x 123 x 163 = 100245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100245
Therefore, the GCF of Fractions 1418/615,3549/815 is 1/100245
Least Common Multiple of 615,815 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 615,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,815) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(615,815) x common factors =5 x 1 = 5
LCM(615,815) = ( 615 × 815 ) / 5
LCM(615,815) = 501225 / 5
LCM(615,815) = 100245
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FAQs on GCF of Fractions of 1418/615, 3549/815
1. What is the HCF of 1418,3549?
The HCF of 1418,3549 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 1418/615, 3549/815?
Answer: GCF of Numerators as per given numbers 1418/615, 3549/815 is
GCF of Numerators i.e. for 1418,3549 is 1
LCM of denominators i.e. for 615,815 is 100245.
Thus, GCF of Fractions is 1/100245.Finally, GCF of Fractions for 1418/615, 3549/815 is 1/100245.