Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6074/67,6100/555
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 6074,6100
Greatest Common Factor of Numerators i.e. GCF of 6074,6100 is 2 .
LCM of Denominators means LCM of 67,555 as per the given fractions.
LCM of 67,555 is 37185 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6074,6100
2 | 6074, 6100 |
3037, 3050 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6074
List of positive integer factors of 6074 that divides 6074 without a remainder.
1,2,3037,6074
Factors of 6100
List of positive integer factors of 6100 that divides 6100 without a remainder.
1,2,4,5,10,20,25,50,61,100,122,244,305,610,1220,1525,3050,6100
Greatest Common Factor
We found the factors 6074,6100 . The biggest common factor number is the GCF number.
So the greatest common factor 6074,6100 is 2.
Lets's calculate LCM of 67,555
Given numbers has no common factors except 1. So, there LCM is their product i.e 37185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37185
Therefore, the GCF of Fractions 6074/67,6100/555 is 2/37185
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 67,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,555) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,555) x common factors =1 x 1 = 1
LCM(67,555) = ( 67 × 555 ) / 1
LCM(67,555) = 37185 / 1
LCM(67,555) = 37185
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 6074/67, 6100/555?
Answer: GCF of Numerators as per given numbers 6074/67, 6100/555 is
GCF of Numerators i.e. for 6074,6100 is 2
LCM of denominators i.e. for 67,555 is 37185.
Thus, GCF of Fractions is 2/37185.Finally, GCF of Fractions for 6074/67, 6100/555 is 2/37185.