Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5220/55,5053/166
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 5220,5053
Greatest Common Factor of Numerators i.e. GCF of 5220,5053 is 1 .
LCM of Denominators means LCM of 55,166 as per the given fractions.
LCM of 55,166 is 9130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5220,5053
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5220
List of positive integer factors of 5220 that divides 5220 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220
Factors of 5053
List of positive integer factors of 5053 that divides 5053 without a remainder.
1,31,163,5053
Greatest Common Factor
We found the factors 5220,5053 . The biggest common factor number is the GCF number.
So the greatest common factor 5220,5053 is 1.
Lets's calculate LCM of 55,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 9130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9130
Therefore, the GCF of Fractions 5220/55,5053/166 is 1/9130
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 55,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,166) x common factors =1 x 1 = 1
LCM(55,166) = ( 55 × 166 ) / 1
LCM(55,166) = 9130 / 1
LCM(55,166) = 9130
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 5220/55, 5053/166?
Answer: GCF of Numerators as per given numbers 5220/55, 5053/166 is
GCF of Numerators i.e. for 5220,5053 is 1
LCM of denominators i.e. for 55,166 is 9130.
Thus, GCF of Fractions is 1/9130.Finally, GCF of Fractions for 5220/55, 5053/166 is 1/9130.