GCF of 4202/425, 1198/8133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4202/425, 1198/8133 i.e 2/3456525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4202/425, 1198/8133.
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 4202/425,1198/8133?
Given fractions are 4202/425,1198/8133
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 4202/425,1198/8133, numerators are 4202,1198
Denominators are 425,8133
The GCF of 4202,1198 is 2 .
LCM of 425,8133 is 3456525.
The greatest common factor of 4202/425,1198/8133 = [GCF of 4202,1198]/[LCM of 425,8133]= 2/3456525
Therefore, the GCF of 4202/425,1198/8133 is 2/3456525.
To find the highest common factor of 4202,1198, we have to find the factors of both numbers and list the highest common factor.
The factors of 4202 are 1, 2, 11, 22, 191, 382, 2101, 4202
The factors of 1198 are 1, 2, 599, 1198
The HCF of 4202,1198 is 2.
Lets's calculate GCF of 4202,1198
| 2 | 4202, 1198 |
| 2101, 599 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4202,1198 By Matching Biggest Common Factor Method
Now, list down the factors of 4202
:1,2,11,22,191,382,2101,4202
Now, list down the factors of 1198
:1,2,599,1198
Greatest Common Factor
We found the factors 4202,1198 . The biggest common factor number is the GCF number.
So the greatest common factor 4202,1198 is 2.
Lets's calculate LCM of 425,8133
Given numbers has no common factors except 1. So, there LCM is their product i.e 3456525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3456525
Therefore, the GCF of Fractions 4202/425,1198/8133 is 2/3456525
Least Common Multiple of 425,8133 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 425,8133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,8133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(425,8133) x common factors =1 x 1 = 1
LCM(425,8133) = ( 425 × 8133 ) / 1
LCM(425,8133) = 3456525 / 1
LCM(425,8133) = 3456525
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FAQs on GCF of Fractions of 4202/425, 1198/8133
1. What is the HCF of 4202,1198?
The HCF of 4202,1198 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 4202/425, 1198/8133?
Answer: GCF of Numerators as per given numbers 4202/425, 1198/8133 is
GCF of Numerators i.e. for 4202,1198 is 2
LCM of denominators i.e. for 425,8133 is 3456525.
Thus, GCF of Fractions is 2/3456525.Finally, GCF of Fractions for 4202/425, 1198/8133 is 2/3456525.