Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 710/573,8937/3441
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 710,8937
Greatest Common Factor of Numerators i.e. GCF of 710,8937 is 1 .
LCM of Denominators means LCM of 573,3441 as per the given fractions.
LCM of 573,3441 is 657231 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 710,8937
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 8937
List of positive integer factors of 8937 that divides 8937 without a remainder.
1,3,9,27,331,993,2979,8937
Greatest Common Factor
We found the factors 710,8937 . The biggest common factor number is the GCF number.
So the greatest common factor 710,8937 is 1.
Lets's calculate LCM of 573,3441
3 | 573, 3441 |
191, 1147 |
∴ So the LCM of the given numbers is 3 x 191 x 1147 = 657231
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/657231
Therefore, the GCF of Fractions 710/573,8937/3441 is 1/657231
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 573,3441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,3441) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(573,3441) x common factors =3 x 1 = 3
LCM(573,3441) = ( 573 × 3441 ) / 3
LCM(573,3441) = 1971693 / 3
LCM(573,3441) = 657231
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 710/573, 8937/3441?
Answer: GCF of Numerators as per given numbers 710/573, 8937/3441 is
GCF of Numerators i.e. for 710,8937 is 1
LCM of denominators i.e. for 573,3441 is 657231.
Thus, GCF of Fractions is 1/657231.Finally, GCF of Fractions for 710/573, 8937/3441 is 1/657231.