GCF of 9898/374, 2245/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9898/374, 2245/384 i.e 1/71808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9898/374, 2245/384.
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 9898/374,2245/384?
Given fractions are 9898/374,2245/384
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 9898/374,2245/384, numerators are 9898,2245
Denominators are 374,384
The GCF of 9898,2245 is 1 .
LCM of 374,384 is 71808.
The greatest common factor of 9898/374,2245/384 = [GCF of 9898,2245]/[LCM of 374,384]= 1/71808
Therefore, the GCF of 9898/374,2245/384 is 1/71808.
To find the highest common factor of 9898,2245, we have to find the factors of both numbers and list the highest common factor.
The factors of 9898 are 1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898
The factors of 2245 are 1, 5, 449, 2245
The HCF of 9898,2245 is 1.
Lets's calculate GCF of 9898,2245
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9898,2245 By Matching Biggest Common Factor Method
Now, list down the factors of 9898
:1,2,7,14,49,98,101,202,707,1414,4949,9898
Now, list down the factors of 2245
:1,5,449,2245
Greatest Common Factor
We found the factors 9898,2245 . The biggest common factor number is the GCF number.
So the greatest common factor 9898,2245 is 1.
Lets's calculate LCM of 374,384
| 2 | 374, 384 |
| 187, 192 |
∴ So the LCM of the given numbers is 2 x 187 x 192 = 71808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71808
Therefore, the GCF of Fractions 9898/374,2245/384 is 1/71808
Least Common Multiple of 374,384 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 374,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,384) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,384) x common factors =2 x 1 = 2
LCM(374,384) = ( 374 × 384 ) / 2
LCM(374,384) = 143616 / 2
LCM(374,384) = 71808
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FAQs on GCF of Fractions of 9898/374, 2245/384
1. What is the HCF of 9898,2245?
The HCF of 9898,2245 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 9898/374, 2245/384?
Answer: GCF of Numerators as per given numbers 9898/374, 2245/384 is
GCF of Numerators i.e. for 9898,2245 is 1
LCM of denominators i.e. for 374,384 is 71808.
Thus, GCF of Fractions is 1/71808.Finally, GCF of Fractions for 9898/374, 2245/384 is 1/71808.