GCF of 185/335, 879/615, 395/256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 185/335, 879/615, 395/256 i.e 1/10548480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 185/335, 879/615, 395/256.
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 185/335,879/615,395/256?
Given fractions are 185/335,879/615,395/256
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 185/335,879/615,395/256, numerators are 185,879,395
Denominators are 335,615,256
The GCF of 185,879,395 is 1 .
LCM of 335,615,256 is 10548480.
The greatest common factor of 185/335,879/615,395/256 = [GCF of 185,879,395]/[LCM of 335,615,256]= 1/10548480
Therefore, the GCF of 185/335,879/615,395/256 is 1/10548480.
To find the highest common factor of 185,879,395, we have to find the factors of both numbers and list the highest common factor.
The factors of 185 are 1, 5, 37, 185
The factors of 879 are 1, 3, 293, 879
The factors of 395 are 1, 5, 79, 395
The HCF of 185,879,395 is 1.
Lets's calculate GCF of 185,879,395
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 185,879,395 By Matching Biggest Common Factor Method
Now, list down the factors of 185
:1,5,37,185
Now, list down the factors of 879
:1,3,293,879
Now, list down the factors of 395
:1,5,79,395
Greatest Common Factor
We found the factors 185,879,395 . The biggest common factor number is the GCF number.
So the greatest common factor 185,879,395 is 1.
Lets's calculate LCM of 335,615,256
| 5 | 335, 615, 256 |
| 67, 123, 256 |
∴ So the LCM of the given numbers is 5 x 67 x 123 x 256 = 10548480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10548480
Therefore, the GCF of Fractions 185/335,879/615,395/256 is 1/10548480
Least Common Multiple of 335,615,256 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 335,615,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,615,256) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(335,615,256) x common factors =1 x 5 = 5
LCM(335,615,256) = ( 335 × 615 × 256 ) / 5
LCM(335,615,256) = 52742400 / 5
LCM(335,615,256) = 10548480
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FAQs on GCF of Fractions of 185/335, 879/615, 395/256
1. What is the HCF of 185,879,395?
The HCF of 185,879,395 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 185/335, 879/615, 395/256?
Answer: GCF of Numerators as per given numbers 185/335, 879/615, 395/256 is
GCF of Numerators i.e. for 185,879,395 is 1
LCM of denominators i.e. for 335,615,256 is 10548480.
Thus, GCF of Fractions is 1/10548480.Finally, GCF of Fractions for 185/335, 879/615, 395/256 is 1/10548480.