Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 710/887,885/439
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 710,885
Greatest Common Factor of Numerators i.e. GCF of 710,885 is 5 .
LCM of Denominators means LCM of 887,439 as per the given fractions.
LCM of 887,439 is 389393 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 710,885
5 | 710, 885 |
142, 177 |
∴ So the GCF of the given numbers is 5 = 5
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 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 710,885 . The biggest common factor number is the GCF number.
So the greatest common factor 710,885 is 5.
Lets's calculate LCM of 887,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 389393
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/389393
Therefore, the GCF of Fractions 710/887,885/439 is 5/389393
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 887,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,439) x common factors =1 x 1 = 1
LCM(887,439) = ( 887 × 439 ) / 1
LCM(887,439) = 389393 / 1
LCM(887,439) = 389393
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 710/887, 885/439?
Answer: GCF of Numerators as per given numbers 710/887, 885/439 is
GCF of Numerators i.e. for 710,885 is 5
LCM of denominators i.e. for 887,439 is 389393.
Thus, GCF of Fractions is 5/389393.Finally, GCF of Fractions for 710/887, 885/439 is 5/389393.