Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 765/921,7941/371
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 765,7941
Greatest Common Factor of Numerators i.e. GCF of 765,7941 is 3 .
LCM of Denominators means LCM of 921,371 as per the given fractions.
LCM of 921,371 is 341691 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 765,7941
3 | 765, 7941 |
255, 2647 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 7941
List of positive integer factors of 7941 that divides 7941 without a remainder.
1,3,2647,7941
Greatest Common Factor
We found the factors 765,7941 . The biggest common factor number is the GCF number.
So the greatest common factor 765,7941 is 3.
Lets's calculate LCM of 921,371
Given numbers has no common factors except 1. So, there LCM is their product i.e 341691
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/341691
Therefore, the GCF of Fractions 765/921,7941/371 is 3/341691
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 921,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,371) x common factors =1 x 1 = 1
LCM(921,371) = ( 921 × 371 ) / 1
LCM(921,371) = 341691 / 1
LCM(921,371) = 341691
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 765/921, 7941/371?
Answer: GCF of Numerators as per given numbers 765/921, 7941/371 is
GCF of Numerators i.e. for 765,7941 is 3
LCM of denominators i.e. for 921,371 is 341691.
Thus, GCF of Fractions is 3/341691.Finally, GCF of Fractions for 765/921, 7941/371 is 3/341691.