GCF of 9102/295, 1142/4189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9102/295, 1142/4189 i.e 2/20945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9102/295, 1142/4189.
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 9102/295,1142/4189?
Given fractions are 9102/295,1142/4189
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 9102/295,1142/4189, numerators are 9102,1142
Denominators are 295,4189
The GCF of 9102,1142 is 2 .
LCM of 295,4189 is 20945.
The greatest common factor of 9102/295,1142/4189 = [GCF of 9102,1142]/[LCM of 295,4189]= 2/20945
Therefore, the GCF of 9102/295,1142/4189 is 2/20945.
To find the highest common factor of 9102,1142, we have to find the factors of both numbers and list the highest common factor.
The factors of 9102 are 1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551, 9102
The factors of 1142 are 1, 2, 571, 1142
The HCF of 9102,1142 is 2.
Lets's calculate GCF of 9102,1142
| 2 | 9102, 1142 |
| 4551, 571 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9102,1142 By Matching Biggest Common Factor Method
Now, list down the factors of 9102
:1,2,3,6,37,41,74,82,111,123,222,246,1517,3034,4551,9102
Now, list down the factors of 1142
:1,2,571,1142
Greatest Common Factor
We found the factors 9102,1142 . The biggest common factor number is the GCF number.
So the greatest common factor 9102,1142 is 2.
Lets's calculate LCM of 295,4189
| 59 | 295, 4189 |
| 5, 71 |
∴ So the LCM of the given numbers is 59 x 5 x 71 = 20945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20945
Therefore, the GCF of Fractions 9102/295,1142/4189 is 2/20945
Least Common Multiple of 295,4189 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 295,4189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,4189) = 59
common factors(in case of two or more numbers have common factors) = 1
GCF(295,4189) x common factors =59 x 1 = 59
LCM(295,4189) = ( 295 × 4189 ) / 59
LCM(295,4189) = 1235755 / 59
LCM(295,4189) = 20945
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9102/295, 1142/4189
1. What is the HCF of 9102,1142?
The HCF of 9102,1142 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 9102/295, 1142/4189?
Answer: GCF of Numerators as per given numbers 9102/295, 1142/4189 is
GCF of Numerators i.e. for 9102,1142 is 2
LCM of denominators i.e. for 295,4189 is 20945.
Thus, GCF of Fractions is 2/20945.Finally, GCF of Fractions for 9102/295, 1142/4189 is 2/20945.