GCF of 1818/845, 5214/249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1818/845, 5214/249 i.e 6/210405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1818/845, 5214/249.
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 1818/845,5214/249?
Given fractions are 1818/845,5214/249
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 1818/845,5214/249, numerators are 1818,5214
Denominators are 845,249
The GCF of 1818,5214 is 6 .
LCM of 845,249 is 210405.
The greatest common factor of 1818/845,5214/249 = [GCF of 1818,5214]/[LCM of 845,249]= 6/210405
Therefore, the GCF of 1818/845,5214/249 is 6/210405.
To find the highest common factor of 1818,5214, we have to find the factors of both numbers and list the highest common factor.
The factors of 1818 are 1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818
The factors of 5214 are 1, 2, 3, 6, 11, 22, 33, 66, 79, 158, 237, 474, 869, 1738, 2607, 5214
The HCF of 1818,5214 is 6.
Lets's calculate GCF of 1818,5214
| 2 | 1818, 5214 |
| 3 | 909, 2607 |
| 303, 869 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1818,5214 By Matching Biggest Common Factor Method
Now, list down the factors of 1818
:1,2,3,6,9,18,101,202,303,606,909,1818
Now, list down the factors of 5214
:1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214
Greatest Common Factor
We found the factors 1818,5214 . The biggest common factor number is the GCF number.
So the greatest common factor 1818,5214 is 6.
Lets's calculate LCM of 845,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 210405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/210405
Therefore, the GCF of Fractions 1818/845,5214/249 is 6/210405
Least Common Multiple of 845,249 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 845,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,249) x common factors =1 x 1 = 1
LCM(845,249) = ( 845 × 249 ) / 1
LCM(845,249) = 210405 / 1
LCM(845,249) = 210405
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FAQs on GCF of Fractions of 1818/845, 5214/249
1. What is the HCF of 1818,5214?
The HCF of 1818,5214 is 6
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 1818/845, 5214/249?
Answer: GCF of Numerators as per given numbers 1818/845, 5214/249 is
GCF of Numerators i.e. for 1818,5214 is 6
LCM of denominators i.e. for 845,249 is 210405.
Thus, GCF of Fractions is 6/210405.Finally, GCF of Fractions for 1818/845, 5214/249 is 6/210405.