Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 141/93,612/6578
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 141,612
Greatest Common Factor of Numerators i.e. GCF of 141,612 is 3 .
LCM of Denominators means LCM of 93,6578 as per the given fractions.
LCM of 93,6578 is 611754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 141,612
3 | 141, 612 |
47, 204 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 141,612 . The biggest common factor number is the GCF number.
So the greatest common factor 141,612 is 3.
Lets's calculate LCM of 93,6578
Given numbers has no common factors except 1. So, there LCM is their product i.e 611754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/611754
Therefore, the GCF of Fractions 141/93,612/6578 is 3/611754
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 93,6578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,6578) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,6578) x common factors =1 x 1 = 1
LCM(93,6578) = ( 93 × 6578 ) / 1
LCM(93,6578) = 611754 / 1
LCM(93,6578) = 611754
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 141/93, 612/6578?
Answer: GCF of Numerators as per given numbers 141/93, 612/6578 is
GCF of Numerators i.e. for 141,612 is 3
LCM of denominators i.e. for 93,6578 is 611754.
Thus, GCF of Fractions is 3/611754.Finally, GCF of Fractions for 141/93, 612/6578 is 3/611754.