Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/657,26/505,289/202
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 81,26,289
Greatest Common Factor of Numerators i.e. GCF of 81,26,289 is 1 .
LCM of Denominators means LCM of 657,505,202 as per the given fractions.
LCM of 657,505,202 is 663570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,26,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Greatest Common Factor
We found the factors 81,26,289 . The biggest common factor number is the GCF number.
So the greatest common factor 81,26,289 is 1.
Lets's calculate LCM of 657,505,202
101 | 657, 505, 202 |
657, 5, 2 |
∴ So the LCM of the given numbers is 101 x 657 x 5 x 2 = 663570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/663570
Therefore, the GCF of Fractions 81/657,26/505,289/202 is 1/663570
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 657,505,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,505,202) = 1
common factors(in case of two or more numbers have common factors) = 101
GCF(657,505,202) x common factors =1 x 101 = 101
LCM(657,505,202) = ( 657 × 505 × 202 ) / 101
LCM(657,505,202) = 67020570 / 101
LCM(657,505,202) = 663570
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 81/657, 26/505, 289/202?
Answer: GCF of Numerators as per given numbers 81/657, 26/505, 289/202 is
GCF of Numerators i.e. for 81,26,289 is 1
LCM of denominators i.e. for 657,505,202 is 663570.
Thus, GCF of Fractions is 1/663570.Finally, GCF of Fractions for 81/657, 26/505, 289/202 is 1/663570.