GCF of 5855/384, 9144/370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5855/384, 9144/370 i.e 1/71040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5855/384, 9144/370.
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 5855/384,9144/370?
Given fractions are 5855/384,9144/370
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 5855/384,9144/370, numerators are 5855,9144
Denominators are 384,370
The GCF of 5855,9144 is 1 .
LCM of 384,370 is 71040.
The greatest common factor of 5855/384,9144/370 = [GCF of 5855,9144]/[LCM of 384,370]= 1/71040
Therefore, the GCF of 5855/384,9144/370 is 1/71040.
To find the highest common factor of 5855,9144, we have to find the factors of both numbers and list the highest common factor.
The factors of 5855 are 1, 5, 1171, 5855
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 HCF of 5855,9144 is 1.
Lets's calculate GCF of 5855,9144
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5855,9144 By Matching Biggest Common Factor Method
Now, list down the factors of 5855
:1,5,1171,5855
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
Greatest Common Factor
We found the factors 5855,9144 . The biggest common factor number is the GCF number.
So the greatest common factor 5855,9144 is 1.
Lets's calculate LCM of 384,370
| 2 | 384, 370 |
| 192, 185 |
∴ So the LCM of the given numbers is 2 x 192 x 185 = 71040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71040
Therefore, the GCF of Fractions 5855/384,9144/370 is 1/71040
Least Common Multiple of 384,370 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 384,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,370) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(384,370) x common factors =2 x 1 = 2
LCM(384,370) = ( 384 × 370 ) / 2
LCM(384,370) = 142080 / 2
LCM(384,370) = 71040
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FAQs on GCF of Fractions of 5855/384, 9144/370
1. What is the HCF of 5855,9144?
The HCF of 5855,9144 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 5855/384, 9144/370?
Answer: GCF of Numerators as per given numbers 5855/384, 9144/370 is
GCF of Numerators i.e. for 5855,9144 is 1
LCM of denominators i.e. for 384,370 is 71040.
Thus, GCF of Fractions is 1/71040.Finally, GCF of Fractions for 5855/384, 9144/370 is 1/71040.