Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/95,542/32,535/66
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 95,542,535
Greatest Common Factor of Numerators i.e. GCF of 95,542,535 is 1 .
LCM of Denominators means LCM of 95,32,66 as per the given fractions.
LCM of 95,32,66 is 100320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,542,535
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 95,542,535 . The biggest common factor number is the GCF number.
So the greatest common factor 95,542,535 is 1.
Lets's calculate LCM of 95,32,66
2 | 95, 32, 66 |
95, 16, 33 |
∴ So the LCM of the given numbers is 2 x 95 x 16 x 33 = 100320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100320
Therefore, the GCF of Fractions 95/95,542/32,535/66 is 1/100320
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 95,32,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,32,66) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(95,32,66) x common factors =1 x 2 = 2
LCM(95,32,66) = ( 95 × 32 × 66 ) / 2
LCM(95,32,66) = 200640 / 2
LCM(95,32,66) = 100320
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 95/95, 542/32, 535/66?
Answer: GCF of Numerators as per given numbers 95/95, 542/32, 535/66 is
GCF of Numerators i.e. for 95,542,535 is 1
LCM of denominators i.e. for 95,32,66 is 100320.
Thus, GCF of Fractions is 1/100320.Finally, GCF of Fractions for 95/95, 542/32, 535/66 is 1/100320.