GCF of 1888/184, 5124/1565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1888/184, 5124/1565 i.e 4/287960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1888/184, 5124/1565.
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 1888/184,5124/1565?
Given fractions are 1888/184,5124/1565
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 1888/184,5124/1565, numerators are 1888,5124
Denominators are 184,1565
The GCF of 1888,5124 is 4 .
LCM of 184,1565 is 287960.
The greatest common factor of 1888/184,5124/1565 = [GCF of 1888,5124]/[LCM of 184,1565]= 4/287960
Therefore, the GCF of 1888/184,5124/1565 is 4/287960.
To find the highest common factor of 1888,5124, we have to find the factors of both numbers and list the highest common factor.
The factors of 1888 are 1, 2, 4, 8, 16, 32, 59, 118, 236, 472, 944, 1888
The factors of 5124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124
The HCF of 1888,5124 is 4.
Lets's calculate GCF of 1888,5124
| 2 | 1888, 5124 |
| 2 | 944, 2562 |
| 472, 1281 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1888,5124 By Matching Biggest Common Factor Method
Now, list down the factors of 1888
:1,2,4,8,16,32,59,118,236,472,944,1888
Now, list down the factors of 5124
:1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124
Greatest Common Factor
We found the factors 1888,5124 . The biggest common factor number is the GCF number.
So the greatest common factor 1888,5124 is 4.
Lets's calculate LCM of 184,1565
Given numbers has no common factors except 1. So, there LCM is their product i.e 287960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/287960
Therefore, the GCF of Fractions 1888/184,5124/1565 is 4/287960
Least Common Multiple of 184,1565 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 184,1565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,1565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,1565) x common factors =1 x 1 = 1
LCM(184,1565) = ( 184 × 1565 ) / 1
LCM(184,1565) = 287960 / 1
LCM(184,1565) = 287960
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FAQs on GCF of Fractions of 1888/184, 5124/1565
1. What is the HCF of 1888,5124?
The HCF of 1888,5124 is 4
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 1888/184, 5124/1565?
Answer: GCF of Numerators as per given numbers 1888/184, 5124/1565 is
GCF of Numerators i.e. for 1888,5124 is 4
LCM of denominators i.e. for 184,1565 is 287960.
Thus, GCF of Fractions is 4/287960.Finally, GCF of Fractions for 1888/184, 5124/1565 is 4/287960.