Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1896/926,7311/4053
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 1896,7311
Greatest Common Factor of Numerators i.e. GCF of 1896,7311 is 3 .
LCM of Denominators means LCM of 926,4053 as per the given fractions.
LCM of 926,4053 is 3753078 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1896,7311
3 | 1896, 7311 |
632, 2437 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1896
List of positive integer factors of 1896 that divides 1896 without a remainder.
1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896
Factors of 7311
List of positive integer factors of 7311 that divides 7311 without a remainder.
1,3,2437,7311
Greatest Common Factor
We found the factors 1896,7311 . The biggest common factor number is the GCF number.
So the greatest common factor 1896,7311 is 3.
Lets's calculate LCM of 926,4053
Given numbers has no common factors except 1. So, there LCM is their product i.e 3753078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3753078
Therefore, the GCF of Fractions 1896/926,7311/4053 is 3/3753078
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 926,4053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,4053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(926,4053) x common factors =1 x 1 = 1
LCM(926,4053) = ( 926 × 4053 ) / 1
LCM(926,4053) = 3753078 / 1
LCM(926,4053) = 3753078
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 1896/926, 7311/4053?
Answer: GCF of Numerators as per given numbers 1896/926, 7311/4053 is
GCF of Numerators i.e. for 1896,7311 is 3
LCM of denominators i.e. for 926,4053 is 3753078.
Thus, GCF of Fractions is 3/3753078.Finally, GCF of Fractions for 1896/926, 7311/4053 is 3/3753078.