Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/941,673/121,381/376
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 78,673,381
Greatest Common Factor of Numerators i.e. GCF of 78,673,381 is 1 .
LCM of Denominators means LCM of 941,121,376 as per the given fractions.
LCM of 941,121,376 is 42811736 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,673,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Greatest Common Factor
We found the factors 78,673,381 . The biggest common factor number is the GCF number.
So the greatest common factor 78,673,381 is 1.
Lets's calculate LCM of 941,121,376
Given numbers has no common factors except 1. So, there LCM is their product i.e 42811736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42811736
Therefore, the GCF of Fractions 78/941,673/121,381/376 is 1/42811736
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 941,121,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,121,376) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,121,376) x common factors =1 x 1 = 1
LCM(941,121,376) = ( 941 × 121 × 376 ) / 1
LCM(941,121,376) = 42811736 / 1
LCM(941,121,376) = 42811736
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 78/941, 673/121, 381/376?
Answer: GCF of Numerators as per given numbers 78/941, 673/121, 381/376 is
GCF of Numerators i.e. for 78,673,381 is 1
LCM of denominators i.e. for 941,121,376 is 42811736.
Thus, GCF of Fractions is 1/42811736.Finally, GCF of Fractions for 78/941, 673/121, 381/376 is 1/42811736.