GCF of 2419/536, 1806/6154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2419/536, 1806/6154 i.e 1/1649272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2419/536, 1806/6154.
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 2419/536,1806/6154?
Given fractions are 2419/536,1806/6154
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 2419/536,1806/6154, numerators are 2419,1806
Denominators are 536,6154
The GCF of 2419,1806 is 1 .
LCM of 536,6154 is 1649272.
The greatest common factor of 2419/536,1806/6154 = [GCF of 2419,1806]/[LCM of 536,6154]= 1/1649272
Therefore, the GCF of 2419/536,1806/6154 is 1/1649272.
To find the highest common factor of 2419,1806, we have to find the factors of both numbers and list the highest common factor.
The factors of 2419 are 1, 41, 59, 2419
The factors of 1806 are 1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806
The HCF of 2419,1806 is 1.
Lets's calculate GCF of 2419,1806
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2419,1806 By Matching Biggest Common Factor Method
Now, list down the factors of 2419
:1,41,59,2419
Now, list down the factors of 1806
:1,2,3,6,7,14,21,42,43,86,129,258,301,602,903,1806
Greatest Common Factor
We found the factors 2419,1806 . The biggest common factor number is the GCF number.
So the greatest common factor 2419,1806 is 1.
Lets's calculate LCM of 536,6154
| 2 | 536, 6154 |
| 268, 3077 |
∴ So the LCM of the given numbers is 2 x 268 x 3077 = 1649272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1649272
Therefore, the GCF of Fractions 2419/536,1806/6154 is 1/1649272
Least Common Multiple of 536,6154 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 536,6154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,6154) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(536,6154) x common factors =2 x 1 = 2
LCM(536,6154) = ( 536 × 6154 ) / 2
LCM(536,6154) = 3298544 / 2
LCM(536,6154) = 1649272
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FAQs on GCF of Fractions of 2419/536, 1806/6154
1. What is the HCF of 2419,1806?
The HCF of 2419,1806 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 2419/536, 1806/6154?
Answer: GCF of Numerators as per given numbers 2419/536, 1806/6154 is
GCF of Numerators i.e. for 2419,1806 is 1
LCM of denominators i.e. for 536,6154 is 1649272.
Thus, GCF of Fractions is 1/1649272.Finally, GCF of Fractions for 2419/536, 1806/6154 is 1/1649272.