Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/66,235/53,628/195
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 87,235,628
Greatest Common Factor of Numerators i.e. GCF of 87,235,628 is 1 .
LCM of Denominators means LCM of 66,53,195 as per the given fractions.
LCM of 66,53,195 is 227370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 87,235,628
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Greatest Common Factor
We found the factors 87,235,628 . The biggest common factor number is the GCF number.
So the greatest common factor 87,235,628 is 1.
Lets's calculate LCM of 66,53,195
3 | 66, 53, 195 |
22, 53, 65 |
∴ So the LCM of the given numbers is 3 x 22 x 53 x 65 = 227370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227370
Therefore, the GCF of Fractions 87/66,235/53,628/195 is 1/227370
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 66,53,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,53,195) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(66,53,195) x common factors =1 x 3 = 3
LCM(66,53,195) = ( 66 × 53 × 195 ) / 3
LCM(66,53,195) = 682110 / 3
LCM(66,53,195) = 227370
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 87/66, 235/53, 628/195?
Answer: GCF of Numerators as per given numbers 87/66, 235/53, 628/195 is
GCF of Numerators i.e. for 87,235,628 is 1
LCM of denominators i.e. for 66,53,195 is 227370.
Thus, GCF of Fractions is 1/227370.Finally, GCF of Fractions for 87/66, 235/53, 628/195 is 1/227370.