GCF of 3055/910, 4416/1592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3055/910, 4416/1592 i.e 1/724360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3055/910, 4416/1592.
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 3055/910,4416/1592?
Given fractions are 3055/910,4416/1592
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 3055/910,4416/1592, numerators are 3055,4416
Denominators are 910,1592
The GCF of 3055,4416 is 1 .
LCM of 910,1592 is 724360.
The greatest common factor of 3055/910,4416/1592 = [GCF of 3055,4416]/[LCM of 910,1592]= 1/724360
Therefore, the GCF of 3055/910,4416/1592 is 1/724360.
To find the highest common factor of 3055,4416, we have to find the factors of both numbers and list the highest common factor.
The factors of 3055 are 1, 5, 13, 47, 65, 235, 611, 3055
The factors of 4416 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208, 4416
The HCF of 3055,4416 is 1.
Lets's calculate GCF of 3055,4416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3055,4416 By Matching Biggest Common Factor Method
Now, list down the factors of 3055
:1,5,13,47,65,235,611,3055
Now, list down the factors of 4416
:1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,138,184,192,276,368,552,736,1104,1472,2208,4416
Greatest Common Factor
We found the factors 3055,4416 . The biggest common factor number is the GCF number.
So the greatest common factor 3055,4416 is 1.
Lets's calculate LCM of 910,1592
| 2 | 910, 1592 |
| 455, 796 |
∴ So the LCM of the given numbers is 2 x 455 x 796 = 724360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/724360
Therefore, the GCF of Fractions 3055/910,4416/1592 is 1/724360
Least Common Multiple of 910,1592 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 910,1592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,1592) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(910,1592) x common factors =2 x 1 = 2
LCM(910,1592) = ( 910 × 1592 ) / 2
LCM(910,1592) = 1448720 / 2
LCM(910,1592) = 724360
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FAQs on GCF of Fractions of 3055/910, 4416/1592
1. What is the HCF of 3055,4416?
The HCF of 3055,4416 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 3055/910, 4416/1592?
Answer: GCF of Numerators as per given numbers 3055/910, 4416/1592 is
GCF of Numerators i.e. for 3055,4416 is 1
LCM of denominators i.e. for 910,1592 is 724360.
Thus, GCF of Fractions is 1/724360.Finally, GCF of Fractions for 3055/910, 4416/1592 is 1/724360.