Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 566/889,1435/750
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 566,1435
Greatest Common Factor of Numerators i.e. GCF of 566,1435 is 1 .
LCM of Denominators means LCM of 889,750 as per the given fractions.
LCM of 889,750 is 666750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 566,1435
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 1435
List of positive integer factors of 1435 that divides 1435 without a remainder.
1,5,7,35,41,205,287,1435
Greatest Common Factor
We found the factors 566,1435 . The biggest common factor number is the GCF number.
So the greatest common factor 566,1435 is 1.
Lets's calculate LCM of 889,750
Given numbers has no common factors except 1. So, there LCM is their product i.e 666750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/666750
Therefore, the GCF of Fractions 566/889,1435/750 is 1/666750
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 889,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,750) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,750) x common factors =1 x 1 = 1
LCM(889,750) = ( 889 × 750 ) / 1
LCM(889,750) = 666750 / 1
LCM(889,750) = 666750
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 566/889, 1435/750?
Answer: GCF of Numerators as per given numbers 566/889, 1435/750 is
GCF of Numerators i.e. for 566,1435 is 1
LCM of denominators i.e. for 889,750 is 666750.
Thus, GCF of Fractions is 1/666750.Finally, GCF of Fractions for 566/889, 1435/750 is 1/666750.