Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1187/377,6176/5057
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 1187,6176
Greatest Common Factor of Numerators i.e. GCF of 1187,6176 is 1 .
LCM of Denominators means LCM of 377,5057 as per the given fractions.
LCM of 377,5057 is 146653 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1187,6176
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1187
List of positive integer factors of 1187 that divides 1187 without a remainder.
1,1187
Factors of 6176
List of positive integer factors of 6176 that divides 6176 without a remainder.
1,2,4,8,16,32,193,386,772,1544,3088,6176
Greatest Common Factor
We found the factors 1187,6176 . The biggest common factor number is the GCF number.
So the greatest common factor 1187,6176 is 1.
Lets's calculate LCM of 377,5057
13 | 377, 5057 |
29, 389 |
∴ So the LCM of the given numbers is 13 x 29 x 389 = 146653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146653
Therefore, the GCF of Fractions 1187/377,6176/5057 is 1/146653
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 377,5057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,5057) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(377,5057) x common factors =13 x 1 = 13
LCM(377,5057) = ( 377 × 5057 ) / 13
LCM(377,5057) = 1906489 / 13
LCM(377,5057) = 146653
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 1187/377, 6176/5057?
Answer: GCF of Numerators as per given numbers 1187/377, 6176/5057 is
GCF of Numerators i.e. for 1187,6176 is 1
LCM of denominators i.e. for 377,5057 is 146653.
Thus, GCF of Fractions is 1/146653.Finally, GCF of Fractions for 1187/377, 6176/5057 is 1/146653.