GCF of 902/240, 9401/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 902/240, 9401/242 i.e 1/29040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/240, 9401/242.
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 902/240,9401/242?
Given fractions are 902/240,9401/242
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 902/240,9401/242, numerators are 902,9401
Denominators are 240,242
The GCF of 902,9401 is 1 .
LCM of 240,242 is 29040.
The greatest common factor of 902/240,9401/242 = [GCF of 902,9401]/[LCM of 240,242]= 1/29040
Therefore, the GCF of 902/240,9401/242 is 1/29040.
To find the highest common factor of 902,9401, 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 9401 are 1, 7, 17, 79, 119, 553, 1343, 9401
The HCF of 902,9401 is 1.
Lets's calculate GCF of 902,9401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 902,9401 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 9401
:1,7,17,79,119,553,1343,9401
Greatest Common Factor
We found the factors 902,9401 . The biggest common factor number is the GCF number.
So the greatest common factor 902,9401 is 1.
Lets's calculate LCM of 240,242
| 2 | 240, 242 |
| 120, 121 |
∴ So the LCM of the given numbers is 2 x 120 x 121 = 29040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29040
Therefore, the GCF of Fractions 902/240,9401/242 is 1/29040
Least Common Multiple of 240,242 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 240,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(240,242) x common factors =2 x 1 = 2
LCM(240,242) = ( 240 × 242 ) / 2
LCM(240,242) = 58080 / 2
LCM(240,242) = 29040
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FAQs on GCF of Fractions of 902/240, 9401/242
1. What is the HCF of 902,9401?
The HCF of 902,9401 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 902/240, 9401/242?
Answer: GCF of Numerators as per given numbers 902/240, 9401/242 is
GCF of Numerators i.e. for 902,9401 is 1
LCM of denominators i.e. for 240,242 is 29040.
Thus, GCF of Fractions is 1/29040.Finally, GCF of Fractions for 902/240, 9401/242 is 1/29040.