Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 377/632,1439/107
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 377,1439
Greatest Common Factor of Numerators i.e. GCF of 377,1439 is 1 .
LCM of Denominators means LCM of 632,107 as per the given fractions.
LCM of 632,107 is 67624 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 377,1439
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Factors of 1439
List of positive integer factors of 1439 that divides 1439 without a remainder.
1,1439
Greatest Common Factor
We found the factors 377,1439 . The biggest common factor number is the GCF number.
So the greatest common factor 377,1439 is 1.
Lets's calculate LCM of 632,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 67624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67624
Therefore, the GCF of Fractions 377/632,1439/107 is 1/67624
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 632,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,107) x common factors =1 x 1 = 1
LCM(632,107) = ( 632 × 107 ) / 1
LCM(632,107) = 67624 / 1
LCM(632,107) = 67624
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 377/632, 1439/107?
Answer: GCF of Numerators as per given numbers 377/632, 1439/107 is
GCF of Numerators i.e. for 377,1439 is 1
LCM of denominators i.e. for 632,107 is 67624.
Thus, GCF of Fractions is 1/67624.Finally, GCF of Fractions for 377/632, 1439/107 is 1/67624.