Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 560/588,387/691,763/951
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 560,387,763
Greatest Common Factor of Numerators i.e. GCF of 560,387,763 is 1 .
LCM of Denominators means LCM of 588,691,951 as per the given fractions.
LCM of 588,691,951 is 128799636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 560,387,763
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Greatest Common Factor
We found the factors 560,387,763 . The biggest common factor number is the GCF number.
So the greatest common factor 560,387,763 is 1.
Lets's calculate LCM of 588,691,951
3 | 588, 691, 951 |
196, 691, 317 |
∴ So the LCM of the given numbers is 3 x 196 x 691 x 317 = 128799636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128799636
Therefore, the GCF of Fractions 560/588,387/691,763/951 is 1/128799636
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 588,691,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,691,951) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(588,691,951) x common factors =1 x 3 = 3
LCM(588,691,951) = ( 588 × 691 × 951 ) / 3
LCM(588,691,951) = 386398908 / 3
LCM(588,691,951) = 128799636
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 560/588, 387/691, 763/951?
Answer: GCF of Numerators as per given numbers 560/588, 387/691, 763/951 is
GCF of Numerators i.e. for 560,387,763 is 1
LCM of denominators i.e. for 588,691,951 is 128799636.
Thus, GCF of Fractions is 1/128799636.Finally, GCF of Fractions for 560/588, 387/691, 763/951 is 1/128799636.