Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1010/164,7021/5891
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 1010,7021
Greatest Common Factor of Numerators i.e. GCF of 1010,7021 is 1 .
LCM of Denominators means LCM of 164,5891 as per the given fractions.
LCM of 164,5891 is 966124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1010,7021
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1010
List of positive integer factors of 1010 that divides 1010 without a remainder.
1,2,5,10,101,202,505,1010
Factors of 7021
List of positive integer factors of 7021 that divides 7021 without a remainder.
1,7,17,59,119,413,1003,7021
Greatest Common Factor
We found the factors 1010,7021 . The biggest common factor number is the GCF number.
So the greatest common factor 1010,7021 is 1.
Lets's calculate LCM of 164,5891
Given numbers has no common factors except 1. So, there LCM is their product i.e 966124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/966124
Therefore, the GCF of Fractions 1010/164,7021/5891 is 1/966124
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 164,5891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,5891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,5891) x common factors =1 x 1 = 1
LCM(164,5891) = ( 164 × 5891 ) / 1
LCM(164,5891) = 966124 / 1
LCM(164,5891) = 966124
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 1010/164, 7021/5891?
Answer: GCF of Numerators as per given numbers 1010/164, 7021/5891 is
GCF of Numerators i.e. for 1010,7021 is 1
LCM of denominators i.e. for 164,5891 is 966124.
Thus, GCF of Fractions is 1/966124.Finally, GCF of Fractions for 1010/164, 7021/5891 is 1/966124.