GCF of 1614/309, 3920/794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1614/309, 3920/794 i.e 2/245346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1614/309, 3920/794.
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 1614/309,3920/794?
Given fractions are 1614/309,3920/794
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 1614/309,3920/794, numerators are 1614,3920
Denominators are 309,794
The GCF of 1614,3920 is 2 .
LCM of 309,794 is 245346.
The greatest common factor of 1614/309,3920/794 = [GCF of 1614,3920]/[LCM of 309,794]= 2/245346
Therefore, the GCF of 1614/309,3920/794 is 2/245346.
To find the highest common factor of 1614,3920, we have to find the factors of both numbers and list the highest common factor.
The factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614
The factors of 3920 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920
The HCF of 1614,3920 is 2.
Lets's calculate GCF of 1614,3920
| 2 | 1614, 3920 |
| 807, 1960 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1614,3920 By Matching Biggest Common Factor Method
Now, list down the factors of 1614
:1,2,3,6,269,538,807,1614
Now, list down the factors of 3920
:1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920
Greatest Common Factor
We found the factors 1614,3920 . The biggest common factor number is the GCF number.
So the greatest common factor 1614,3920 is 2.
Lets's calculate LCM of 309,794
Given numbers has no common factors except 1. So, there LCM is their product i.e 245346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/245346
Therefore, the GCF of Fractions 1614/309,3920/794 is 2/245346
Least Common Multiple of 309,794 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 309,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,794) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,794) x common factors =1 x 1 = 1
LCM(309,794) = ( 309 × 794 ) / 1
LCM(309,794) = 245346 / 1
LCM(309,794) = 245346
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FAQs on GCF of Fractions of 1614/309, 3920/794
1. What is the HCF of 1614,3920?
The HCF of 1614,3920 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 1614/309, 3920/794?
Answer: GCF of Numerators as per given numbers 1614/309, 3920/794 is
GCF of Numerators i.e. for 1614,3920 is 2
LCM of denominators i.e. for 309,794 is 245346.
Thus, GCF of Fractions is 2/245346.Finally, GCF of Fractions for 1614/309, 3920/794 is 2/245346.