GCF of 95/478, 407/257, 215/315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/478, 407/257, 215/315 i.e 1/38696490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/478, 407/257, 215/315.
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 95/478,407/257,215/315?
Given fractions are 95/478,407/257,215/315
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 95/478,407/257,215/315, numerators are 95,407,215
Denominators are 478,257,315
The GCF of 95,407,215 is 1 .
LCM of 478,257,315 is 38696490.
The greatest common factor of 95/478,407/257,215/315 = [GCF of 95,407,215]/[LCM of 478,257,315]= 1/38696490
Therefore, the GCF of 95/478,407/257,215/315 is 1/38696490.
To find the highest common factor of 95,407,215, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 407 are 1, 11, 37, 407
The factors of 215 are 1, 5, 43, 215
The HCF of 95,407,215 is 1.
Lets's calculate GCF of 95,407,215
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 95,407,215 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 407
:1,11,37,407
Now, list down the factors of 215
:1,5,43,215
Greatest Common Factor
We found the factors 95,407,215 . The biggest common factor number is the GCF number.
So the greatest common factor 95,407,215 is 1.
Lets's calculate LCM of 478,257,315
Given numbers has no common factors except 1. So, there LCM is their product i.e 38696490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38696490
Therefore, the GCF of Fractions 95/478,407/257,215/315 is 1/38696490
Least Common Multiple of 478,257,315 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 478,257,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,257,315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,257,315) x common factors =1 x 1 = 1
LCM(478,257,315) = ( 478 × 257 × 315 ) / 1
LCM(478,257,315) = 38696490 / 1
LCM(478,257,315) = 38696490
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 95/478, 407/257, 215/315
1. What is the HCF of 95,407,215?
The HCF of 95,407,215 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 95/478, 407/257, 215/315?
Answer: GCF of Numerators as per given numbers 95/478, 407/257, 215/315 is
GCF of Numerators i.e. for 95,407,215 is 1
LCM of denominators i.e. for 478,257,315 is 38696490.
Thus, GCF of Fractions is 1/38696490.Finally, GCF of Fractions for 95/478, 407/257, 215/315 is 1/38696490.