GCF of 8050/222, 2034/4681
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8050/222, 2034/4681 i.e 2/1039182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8050/222, 2034/4681.
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 8050/222,2034/4681?
Given fractions are 8050/222,2034/4681
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 8050/222,2034/4681, numerators are 8050,2034
Denominators are 222,4681
The GCF of 8050,2034 is 2 .
LCM of 222,4681 is 1039182.
The greatest common factor of 8050/222,2034/4681 = [GCF of 8050,2034]/[LCM of 222,4681]= 2/1039182
Therefore, the GCF of 8050/222,2034/4681 is 2/1039182.
To find the highest common factor of 8050,2034, we have to find the factors of both numbers and list the highest common factor.
The factors of 8050 are 1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025, 8050
The factors of 2034 are 1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034
The HCF of 8050,2034 is 2.
Lets's calculate GCF of 8050,2034
| 2 | 8050, 2034 |
| 4025, 1017 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8050,2034 By Matching Biggest Common Factor Method
Now, list down the factors of 8050
:1,2,5,7,10,14,23,25,35,46,50,70,115,161,175,230,322,350,575,805,1150,1610,4025,8050
Now, list down the factors of 2034
:1,2,3,6,9,18,113,226,339,678,1017,2034
Greatest Common Factor
We found the factors 8050,2034 . The biggest common factor number is the GCF number.
So the greatest common factor 8050,2034 is 2.
Lets's calculate LCM of 222,4681
Given numbers has no common factors except 1. So, there LCM is their product i.e 1039182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1039182
Therefore, the GCF of Fractions 8050/222,2034/4681 is 2/1039182
Least Common Multiple of 222,4681 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 222,4681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,4681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(222,4681) x common factors =1 x 1 = 1
LCM(222,4681) = ( 222 × 4681 ) / 1
LCM(222,4681) = 1039182 / 1
LCM(222,4681) = 1039182
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FAQs on GCF of Fractions of 8050/222, 2034/4681
1. What is the HCF of 8050,2034?
The HCF of 8050,2034 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 8050/222, 2034/4681?
Answer: GCF of Numerators as per given numbers 8050/222, 2034/4681 is
GCF of Numerators i.e. for 8050,2034 is 2
LCM of denominators i.e. for 222,4681 is 1039182.
Thus, GCF of Fractions is 2/1039182.Finally, GCF of Fractions for 8050/222, 2034/4681 is 2/1039182.