Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 928/845,726/679,704/998
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 928,726,704
Greatest Common Factor of Numerators i.e. GCF of 928,726,704 is 2 .
LCM of Denominators means LCM of 845,679,998 as per the given fractions.
LCM of 845,679,998 is 572607490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 928,726,704
2 | 928, 726, 704 |
464, 363, 352 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 928,726,704 . The biggest common factor number is the GCF number.
So the greatest common factor 928,726,704 is 2.
Lets's calculate LCM of 845,679,998
Given numbers has no common factors except 1. So, there LCM is their product i.e 572607490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/572607490
Therefore, the GCF of Fractions 928/845,726/679,704/998 is 2/572607490
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 845,679,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,679,998) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,679,998) x common factors =1 x 1 = 1
LCM(845,679,998) = ( 845 × 679 × 998 ) / 1
LCM(845,679,998) = 572607490 / 1
LCM(845,679,998) = 572607490
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 928/845, 726/679, 704/998?
Answer: GCF of Numerators as per given numbers 928/845, 726/679, 704/998 is
GCF of Numerators i.e. for 928,726,704 is 2
LCM of denominators i.e. for 845,679,998 is 572607490.
Thus, GCF of Fractions is 2/572607490.Finally, GCF of Fractions for 928/845, 726/679, 704/998 is 2/572607490.