GCF of 902/123, 3141/2058
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 902/123, 3141/2058 i.e 1/84378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/123, 3141/2058.
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 902/123,3141/2058?
Given fractions are 902/123,3141/2058
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 902/123,3141/2058, numerators are 902,3141
Denominators are 123,2058
The GCF of 902,3141 is 1 .
LCM of 123,2058 is 84378.
The greatest common factor of 902/123,3141/2058 = [GCF of 902,3141]/[LCM of 123,2058]= 1/84378
Therefore, the GCF of 902/123,3141/2058 is 1/84378.
To find the highest common factor of 902,3141, we have to find the factors of both numbers and list the highest common factor.
The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902
The factors of 3141 are 1, 3, 9, 349, 1047, 3141
The HCF of 902,3141 is 1.
Lets's calculate GCF of 902,3141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 902,3141 By Matching Biggest Common Factor Method
Now, list down the factors of 902
:1,2,11,22,41,82,451,902
Now, list down the factors of 3141
:1,3,9,349,1047,3141
Greatest Common Factor
We found the factors 902,3141 . The biggest common factor number is the GCF number.
So the greatest common factor 902,3141 is 1.
Lets's calculate LCM of 123,2058
| 3 | 123, 2058 |
| 41, 686 |
∴ So the LCM of the given numbers is 3 x 41 x 686 = 84378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84378
Therefore, the GCF of Fractions 902/123,3141/2058 is 1/84378
Least Common Multiple of 123,2058 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 123,2058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,2058) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,2058) x common factors =3 x 1 = 3
LCM(123,2058) = ( 123 × 2058 ) / 3
LCM(123,2058) = 253134 / 3
LCM(123,2058) = 84378
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 902/123, 3141/2058
1. What is the HCF of 902,3141?
The HCF of 902,3141 is 1
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 902/123, 3141/2058?
Answer: GCF of Numerators as per given numbers 902/123, 3141/2058 is
GCF of Numerators i.e. for 902,3141 is 1
LCM of denominators i.e. for 123,2058 is 84378.
Thus, GCF of Fractions is 1/84378.Finally, GCF of Fractions for 902/123, 3141/2058 is 1/84378.