GCF of 9494/154, 2378/3024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9494/154, 2378/3024 i.e 2/33264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9494/154, 2378/3024.
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 9494/154,2378/3024?
Given fractions are 9494/154,2378/3024
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 9494/154,2378/3024, numerators are 9494,2378
Denominators are 154,3024
The GCF of 9494,2378 is 2 .
LCM of 154,3024 is 33264.
The greatest common factor of 9494/154,2378/3024 = [GCF of 9494,2378]/[LCM of 154,3024]= 2/33264
Therefore, the GCF of 9494/154,2378/3024 is 2/33264.
To find the highest common factor of 9494,2378, we have to find the factors of both numbers and list the highest common factor.
The factors of 9494 are 1, 2, 47, 94, 101, 202, 4747, 9494
The factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378
The HCF of 9494,2378 is 2.
Lets's calculate GCF of 9494,2378
| 2 | 9494, 2378 |
| 4747, 1189 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9494,2378 By Matching Biggest Common Factor Method
Now, list down the factors of 9494
:1,2,47,94,101,202,4747,9494
Now, list down the factors of 2378
:1,2,29,41,58,82,1189,2378
Greatest Common Factor
We found the factors 9494,2378 . The biggest common factor number is the GCF number.
So the greatest common factor 9494,2378 is 2.
Lets's calculate LCM of 154,3024
| 2 | 154, 3024 |
| 7 | 77, 1512 |
| 11, 216 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 216 = 33264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33264
Therefore, the GCF of Fractions 9494/154,2378/3024 is 2/33264
Least Common Multiple of 154,3024 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 154,3024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,3024) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(154,3024) x common factors =14 x 1 = 14
LCM(154,3024) = ( 154 × 3024 ) / 14
LCM(154,3024) = 465696 / 14
LCM(154,3024) = 33264
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FAQs on GCF of Fractions of 9494/154, 2378/3024
1. What is the HCF of 9494,2378?
The HCF of 9494,2378 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 9494/154, 2378/3024?
Answer: GCF of Numerators as per given numbers 9494/154, 2378/3024 is
GCF of Numerators i.e. for 9494,2378 is 2
LCM of denominators i.e. for 154,3024 is 33264.
Thus, GCF of Fractions is 2/33264.Finally, GCF of Fractions for 9494/154, 2378/3024 is 2/33264.