Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 377/707,143/197
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 377,143
Greatest Common Factor of Numerators i.e. GCF of 377,143 is 13 .
LCM of Denominators means LCM of 707,197 as per the given fractions.
LCM of 707,197 is 139279 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 377,143
13 | 377, 143 |
29, 11 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 377,143 . The biggest common factor number is the GCF number.
So the greatest common factor 377,143 is 13.
Lets's calculate LCM of 707,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 139279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/139279
Therefore, the GCF of Fractions 377/707,143/197 is 13/139279
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 707,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,197) x common factors =1 x 1 = 1
LCM(707,197) = ( 707 × 197 ) / 1
LCM(707,197) = 139279 / 1
LCM(707,197) = 139279
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 377/707, 143/197?
Answer: GCF of Numerators as per given numbers 377/707, 143/197 is
GCF of Numerators i.e. for 377,143 is 13
LCM of denominators i.e. for 707,197 is 139279.
Thus, GCF of Fractions is 13/139279.Finally, GCF of Fractions for 377/707, 143/197 is 13/139279.