GCF of 9144/457, 2938/2839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9144/457, 2938/2839 i.e 2/1297423 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9144/457, 2938/2839.
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 9144/457,2938/2839?
Given fractions are 9144/457,2938/2839
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 9144/457,2938/2839, numerators are 9144,2938
Denominators are 457,2839
The GCF of 9144,2938 is 2 .
LCM of 457,2839 is 1297423.
The greatest common factor of 9144/457,2938/2839 = [GCF of 9144,2938]/[LCM of 457,2839]= 2/1297423
Therefore, the GCF of 9144/457,2938/2839 is 2/1297423.
To find the highest common factor of 9144,2938, we have to find the factors of both numbers and list the highest common factor.
The factors of 9144 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144
The factors of 2938 are 1, 2, 13, 26, 113, 226, 1469, 2938
The HCF of 9144,2938 is 2.
Lets's calculate GCF of 9144,2938
| 2 | 9144, 2938 |
| 4572, 1469 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9144,2938 By Matching Biggest Common Factor Method
Now, list down the factors of 9144
:1,2,3,4,6,8,9,12,18,24,36,72,127,254,381,508,762,1016,1143,1524,2286,3048,4572,9144
Now, list down the factors of 2938
:1,2,13,26,113,226,1469,2938
Greatest Common Factor
We found the factors 9144,2938 . The biggest common factor number is the GCF number.
So the greatest common factor 9144,2938 is 2.
Lets's calculate LCM of 457,2839
Given numbers has no common factors except 1. So, there LCM is their product i.e 1297423
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1297423
Therefore, the GCF of Fractions 9144/457,2938/2839 is 2/1297423
Least Common Multiple of 457,2839 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 457,2839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,2839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,2839) x common factors =1 x 1 = 1
LCM(457,2839) = ( 457 × 2839 ) / 1
LCM(457,2839) = 1297423 / 1
LCM(457,2839) = 1297423
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FAQs on GCF of Fractions of 9144/457, 2938/2839
1. What is the HCF of 9144,2938?
The HCF of 9144,2938 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 9144/457, 2938/2839?
Answer: GCF of Numerators as per given numbers 9144/457, 2938/2839 is
GCF of Numerators i.e. for 9144,2938 is 2
LCM of denominators i.e. for 457,2839 is 1297423.
Thus, GCF of Fractions is 2/1297423.Finally, GCF of Fractions for 9144/457, 2938/2839 is 2/1297423.