Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 904/691,2136/8156
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 904,2136
Greatest Common Factor of Numerators i.e. GCF of 904,2136 is 8 .
LCM of Denominators means LCM of 691,8156 as per the given fractions.
LCM of 691,8156 is 5635796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 904,2136
2 | 904, 2136 |
2 | 452, 1068 |
2 | 226, 534 |
113, 267 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
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 2136
List of positive integer factors of 2136 that divides 2136 without a remainder.
1,2,3,4,6,8,12,24,89,178,267,356,534,712,1068,2136
Greatest Common Factor
We found the factors 904,2136 . The biggest common factor number is the GCF number.
So the greatest common factor 904,2136 is 8.
Lets's calculate LCM of 691,8156
Given numbers has no common factors except 1. So, there LCM is their product i.e 5635796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5635796
Therefore, the GCF of Fractions 904/691,2136/8156 is 8/5635796
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 691,8156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,8156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,8156) x common factors =1 x 1 = 1
LCM(691,8156) = ( 691 × 8156 ) / 1
LCM(691,8156) = 5635796 / 1
LCM(691,8156) = 5635796
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 904/691, 2136/8156?
Answer: GCF of Numerators as per given numbers 904/691, 2136/8156 is
GCF of Numerators i.e. for 904,2136 is 8
LCM of denominators i.e. for 691,8156 is 5635796.
Thus, GCF of Fractions is 8/5635796.Finally, GCF of Fractions for 904/691, 2136/8156 is 8/5635796.