GCF of 355/192, 2280/539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 355/192, 2280/539 i.e 5/103488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 355/192, 2280/539.
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 355/192,2280/539?
Given fractions are 355/192,2280/539
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 355/192,2280/539, numerators are 355,2280
Denominators are 192,539
The GCF of 355,2280 is 5 .
LCM of 192,539 is 103488.
The greatest common factor of 355/192,2280/539 = [GCF of 355,2280]/[LCM of 192,539]= 5/103488
Therefore, the GCF of 355/192,2280/539 is 5/103488.
To find the highest common factor of 355,2280, we have to find the factors of both numbers and list the highest common factor.
The factors of 355 are 1, 5, 71, 355
The factors of 2280 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 380, 456, 570, 760, 1140, 2280
The HCF of 355,2280 is 5.
Lets's calculate GCF of 355,2280
| 5 | 355, 2280 |
| 71, 456 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 355,2280 By Matching Biggest Common Factor Method
Now, list down the factors of 355
:1,5,71,355
Now, list down the factors of 2280
:1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280
Greatest Common Factor
We found the factors 355,2280 . The biggest common factor number is the GCF number.
So the greatest common factor 355,2280 is 5.
Lets's calculate LCM of 192,539
Given numbers has no common factors except 1. So, there LCM is their product i.e 103488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/103488
Therefore, the GCF of Fractions 355/192,2280/539 is 5/103488
Least Common Multiple of 192,539 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 192,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(192,539) x common factors =1 x 1 = 1
LCM(192,539) = ( 192 × 539 ) / 1
LCM(192,539) = 103488 / 1
LCM(192,539) = 103488
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 355/192, 2280/539
1. What is the HCF of 355,2280?
The HCF of 355,2280 is 5
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 355/192, 2280/539?
Answer: GCF of Numerators as per given numbers 355/192, 2280/539 is
GCF of Numerators i.e. for 355,2280 is 5
LCM of denominators i.e. for 192,539 is 103488.
Thus, GCF of Fractions is 5/103488.Finally, GCF of Fractions for 355/192, 2280/539 is 5/103488.