Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/213,542/351
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 97,542
Greatest Common Factor of Numerators i.e. GCF of 97,542 is 1 .
LCM of Denominators means LCM of 213,351 as per the given fractions.
LCM of 213,351 is 24921 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 97,542
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Greatest Common Factor
We found the factors 97,542 . The biggest common factor number is the GCF number.
So the greatest common factor 97,542 is 1.
Lets's calculate LCM of 213,351
3 | 213, 351 |
71, 117 |
∴ So the LCM of the given numbers is 3 x 71 x 117 = 24921
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24921
Therefore, the GCF of Fractions 97/213,542/351 is 1/24921
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 213,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,351) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,351) x common factors =3 x 1 = 3
LCM(213,351) = ( 213 × 351 ) / 3
LCM(213,351) = 74763 / 3
LCM(213,351) = 24921
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 97/213, 542/351?
Answer: GCF of Numerators as per given numbers 97/213, 542/351 is
GCF of Numerators i.e. for 97,542 is 1
LCM of denominators i.e. for 213,351 is 24921.
Thus, GCF of Fractions is 1/24921.Finally, GCF of Fractions for 97/213, 542/351 is 1/24921.