Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2059/919,2166/972
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 2059,2166
Greatest Common Factor of Numerators i.e. GCF of 2059,2166 is 1 .
LCM of Denominators means LCM of 919,972 as per the given fractions.
LCM of 919,972 is 893268 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2059,2166
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2059
List of positive integer factors of 2059 that divides 2059 without a remainder.
1,29,71,2059
Factors of 2166
List of positive integer factors of 2166 that divides 2166 without a remainder.
1,2,3,6,19,38,57,114,361,722,1083,2166
Greatest Common Factor
We found the factors 2059,2166 . The biggest common factor number is the GCF number.
So the greatest common factor 2059,2166 is 1.
Lets's calculate LCM of 919,972
Given numbers has no common factors except 1. So, there LCM is their product i.e 893268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/893268
Therefore, the GCF of Fractions 2059/919,2166/972 is 1/893268
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 919,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,972) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,972) x common factors =1 x 1 = 1
LCM(919,972) = ( 919 × 972 ) / 1
LCM(919,972) = 893268 / 1
LCM(919,972) = 893268
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 2059/919, 2166/972?
Answer: GCF of Numerators as per given numbers 2059/919, 2166/972 is
GCF of Numerators i.e. for 2059,2166 is 1
LCM of denominators i.e. for 919,972 is 893268.
Thus, GCF of Fractions is 1/893268.Finally, GCF of Fractions for 2059/919, 2166/972 is 1/893268.