Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 904/767,206/127,758/784
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 904,206,758
Greatest Common Factor of Numerators i.e. GCF of 904,206,758 is 2 .
LCM of Denominators means LCM of 767,127,784 as per the given fractions.
LCM of 767,127,784 is 76368656 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 904,206,758
2 | 904, 206, 758 |
452, 103, 379 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Greatest Common Factor
We found the factors 904,206,758 . The biggest common factor number is the GCF number.
So the greatest common factor 904,206,758 is 2.
Lets's calculate LCM of 767,127,784
Given numbers has no common factors except 1. So, there LCM is their product i.e 76368656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76368656
Therefore, the GCF of Fractions 904/767,206/127,758/784 is 2/76368656
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 767,127,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,127,784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,127,784) x common factors =1 x 1 = 1
LCM(767,127,784) = ( 767 × 127 × 784 ) / 1
LCM(767,127,784) = 76368656 / 1
LCM(767,127,784) = 76368656
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 904/767, 206/127, 758/784?
Answer: GCF of Numerators as per given numbers 904/767, 206/127, 758/784 is
GCF of Numerators i.e. for 904,206,758 is 2
LCM of denominators i.e. for 767,127,784 is 76368656.
Thus, GCF of Fractions is 2/76368656.Finally, GCF of Fractions for 904/767, 206/127, 758/784 is 2/76368656.