Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 177/138,6250/1868
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 177,6250
Greatest Common Factor of Numerators i.e. GCF of 177,6250 is 1 .
LCM of Denominators means LCM of 138,1868 as per the given fractions.
LCM of 138,1868 is 128892 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 177,6250
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 6250
List of positive integer factors of 6250 that divides 6250 without a remainder.
1,2,5,10,25,50,125,250,625,1250,3125,6250
Greatest Common Factor
We found the factors 177,6250 . The biggest common factor number is the GCF number.
So the greatest common factor 177,6250 is 1.
Lets's calculate LCM of 138,1868
2 | 138, 1868 |
69, 934 |
∴ So the LCM of the given numbers is 2 x 69 x 934 = 128892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128892
Therefore, the GCF of Fractions 177/138,6250/1868 is 1/128892
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 138,1868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,1868) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,1868) x common factors =2 x 1 = 2
LCM(138,1868) = ( 138 × 1868 ) / 2
LCM(138,1868) = 257784 / 2
LCM(138,1868) = 128892
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 177/138, 6250/1868?
Answer: GCF of Numerators as per given numbers 177/138, 6250/1868 is
GCF of Numerators i.e. for 177,6250 is 1
LCM of denominators i.e. for 138,1868 is 128892.
Thus, GCF of Fractions is 1/128892.Finally, GCF of Fractions for 177/138, 6250/1868 is 1/128892.