Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 859/47,935/1992
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 859,935
Greatest Common Factor of Numerators i.e. GCF of 859,935 is 1 .
LCM of Denominators means LCM of 47,1992 as per the given fractions.
LCM of 47,1992 is 93624 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 859,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 859,935 . The biggest common factor number is the GCF number.
So the greatest common factor 859,935 is 1.
Lets's calculate LCM of 47,1992
Given numbers has no common factors except 1. So, there LCM is their product i.e 93624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93624
Therefore, the GCF of Fractions 859/47,935/1992 is 1/93624
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 47,1992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,1992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,1992) x common factors =1 x 1 = 1
LCM(47,1992) = ( 47 × 1992 ) / 1
LCM(47,1992) = 93624 / 1
LCM(47,1992) = 93624
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 859/47, 935/1992?
Answer: GCF of Numerators as per given numbers 859/47, 935/1992 is
GCF of Numerators i.e. for 859,935 is 1
LCM of denominators i.e. for 47,1992 is 93624.
Thus, GCF of Fractions is 1/93624.Finally, GCF of Fractions for 859/47, 935/1992 is 1/93624.