GCF of 2936/203, 8150/6374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2936/203, 8150/6374 i.e 2/1293922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2936/203, 8150/6374.
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 2936/203,8150/6374?
Given fractions are 2936/203,8150/6374
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 2936/203,8150/6374, numerators are 2936,8150
Denominators are 203,6374
The GCF of 2936,8150 is 2 .
LCM of 203,6374 is 1293922.
The greatest common factor of 2936/203,8150/6374 = [GCF of 2936,8150]/[LCM of 203,6374]= 2/1293922
Therefore, the GCF of 2936/203,8150/6374 is 2/1293922.
To find the highest common factor of 2936,8150, we have to find the factors of both numbers and list the highest common factor.
The factors of 2936 are 1, 2, 4, 8, 367, 734, 1468, 2936
The factors of 8150 are 1, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 8150
The HCF of 2936,8150 is 2.
Lets's calculate GCF of 2936,8150
| 2 | 2936, 8150 |
| 1468, 4075 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2936,8150 By Matching Biggest Common Factor Method
Now, list down the factors of 2936
:1,2,4,8,367,734,1468,2936
Now, list down the factors of 8150
:1,2,5,10,25,50,163,326,815,1630,4075,8150
Greatest Common Factor
We found the factors 2936,8150 . The biggest common factor number is the GCF number.
So the greatest common factor 2936,8150 is 2.
Lets's calculate LCM of 203,6374
Given numbers has no common factors except 1. So, there LCM is their product i.e 1293922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1293922
Therefore, the GCF of Fractions 2936/203,8150/6374 is 2/1293922
Least Common Multiple of 203,6374 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 203,6374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,6374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,6374) x common factors =1 x 1 = 1
LCM(203,6374) = ( 203 × 6374 ) / 1
LCM(203,6374) = 1293922 / 1
LCM(203,6374) = 1293922
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2936/203, 8150/6374
1. What is the HCF of 2936,8150?
The HCF of 2936,8150 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 2936/203, 8150/6374?
Answer: GCF of Numerators as per given numbers 2936/203, 8150/6374 is
GCF of Numerators i.e. for 2936,8150 is 2
LCM of denominators i.e. for 203,6374 is 1293922.
Thus, GCF of Fractions is 2/1293922.Finally, GCF of Fractions for 2936/203, 8150/6374 is 2/1293922.