GCF of 410/987, 1618/844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 410/987, 1618/844 i.e 2/833028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/987, 1618/844.
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 410/987,1618/844?
Given fractions are 410/987,1618/844
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 410/987,1618/844, numerators are 410,1618
Denominators are 987,844
The GCF of 410,1618 is 2 .
LCM of 987,844 is 833028.
The greatest common factor of 410/987,1618/844 = [GCF of 410,1618]/[LCM of 987,844]= 2/833028
Therefore, the GCF of 410/987,1618/844 is 2/833028.
To find the highest common factor of 410,1618, we have to find the factors of both numbers and list the highest common factor.
The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410
The factors of 1618 are 1, 2, 809, 1618
The HCF of 410,1618 is 2.
Lets's calculate GCF of 410,1618
| 2 | 410, 1618 |
| 205, 809 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 410,1618 By Matching Biggest Common Factor Method
Now, list down the factors of 410
:1,2,5,10,41,82,205,410
Now, list down the factors of 1618
:1,2,809,1618
Greatest Common Factor
We found the factors 410,1618 . The biggest common factor number is the GCF number.
So the greatest common factor 410,1618 is 2.
Lets's calculate LCM of 987,844
Given numbers has no common factors except 1. So, there LCM is their product i.e 833028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/833028
Therefore, the GCF of Fractions 410/987,1618/844 is 2/833028
Least Common Multiple of 987,844 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 987,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,844) x common factors =1 x 1 = 1
LCM(987,844) = ( 987 × 844 ) / 1
LCM(987,844) = 833028 / 1
LCM(987,844) = 833028
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 410/987, 1618/844
1. What is the HCF of 410,1618?
The HCF of 410,1618 is 2
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 410/987, 1618/844?
Answer: GCF of Numerators as per given numbers 410/987, 1618/844 is
GCF of Numerators i.e. for 410,1618 is 2
LCM of denominators i.e. for 987,844 is 833028.
Thus, GCF of Fractions is 2/833028.Finally, GCF of Fractions for 410/987, 1618/844 is 2/833028.