Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/91,222/60,410/375
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 65,222,410
Greatest Common Factor of Numerators i.e. GCF of 65,222,410 is 1 .
LCM of Denominators means LCM of 91,60,375 as per the given fractions.
LCM of 91,60,375 is 136500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 65,222,410
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 65,222,410 . The biggest common factor number is the GCF number.
So the greatest common factor 65,222,410 is 1.
Lets's calculate LCM of 91,60,375
3 | 91, 60, 375 |
5 | 91, 20, 125 |
91, 4, 25 |
∴ So the LCM of the given numbers is 3 x 5 x 91 x 4 x 25 = 136500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136500
Therefore, the GCF of Fractions 65/91,222/60,410/375 is 1/136500
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 91,60,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,60,375) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(91,60,375) x common factors =1 x 15 = 15
LCM(91,60,375) = ( 91 × 60 × 375 ) / 15
LCM(91,60,375) = 2047500 / 15
LCM(91,60,375) = 136500
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 65/91, 222/60, 410/375?
Answer: GCF of Numerators as per given numbers 65/91, 222/60, 410/375 is
GCF of Numerators i.e. for 65,222,410 is 1
LCM of denominators i.e. for 91,60,375 is 136500.
Thus, GCF of Fractions is 1/136500.Finally, GCF of Fractions for 65/91, 222/60, 410/375 is 1/136500.