Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 804/139,766/986,381/921
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 804,766,381
Greatest Common Factor of Numerators i.e. GCF of 804,766,381 is 1 .
LCM of Denominators means LCM of 139,986,921 as per the given fractions.
LCM of 139,986,921 is 126226734 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 804,766,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
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 804,766,381 . The biggest common factor number is the GCF number.
So the greatest common factor 804,766,381 is 1.
Lets's calculate LCM of 139,986,921
Given numbers has no common factors except 1. So, there LCM is their product i.e 126226734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126226734
Therefore, the GCF of Fractions 804/139,766/986,381/921 is 1/126226734
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 139,986,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,986,921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,986,921) x common factors =1 x 1 = 1
LCM(139,986,921) = ( 139 × 986 × 921 ) / 1
LCM(139,986,921) = 126226734 / 1
LCM(139,986,921) = 126226734
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 804/139, 766/986, 381/921?
Answer: GCF of Numerators as per given numbers 804/139, 766/986, 381/921 is
GCF of Numerators i.e. for 804,766,381 is 1
LCM of denominators i.e. for 139,986,921 is 126226734.
Thus, GCF of Fractions is 1/126226734.Finally, GCF of Fractions for 804/139, 766/986, 381/921 is 1/126226734.