Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 100/315,1925/6255
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 100,1925
Greatest Common Factor of Numerators i.e. GCF of 100,1925 is 25 .
LCM of Denominators means LCM of 315,6255 as per the given fractions.
LCM of 315,6255 is 43785 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 100,1925
5 | 100, 1925 |
5 | 20, 385 |
4, 77 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Factors of 1925
List of positive integer factors of 1925 that divides 1925 without a remainder.
1,5,7,11,25,35,55,77,175,275,385,1925
Greatest Common Factor
We found the factors 100,1925 . The biggest common factor number is the GCF number.
So the greatest common factor 100,1925 is 25.
Lets's calculate LCM of 315,6255
3 | 315, 6255 |
3 | 105, 2085 |
5 | 35, 695 |
7, 139 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 139 = 43785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/43785
Therefore, the GCF of Fractions 100/315,1925/6255 is 25/43785
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 315,6255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,6255) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(315,6255) x common factors =45 x 1 = 45
LCM(315,6255) = ( 315 × 6255 ) / 45
LCM(315,6255) = 1970325 / 45
LCM(315,6255) = 43785
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 100/315, 1925/6255?
Answer: GCF of Numerators as per given numbers 100/315, 1925/6255 is
GCF of Numerators i.e. for 100,1925 is 25
LCM of denominators i.e. for 315,6255 is 43785.
Thus, GCF of Fractions is 25/43785.Finally, GCF of Fractions for 100/315, 1925/6255 is 25/43785.