Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1137/95,3738/346
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 1137,3738
Greatest Common Factor of Numerators i.e. GCF of 1137,3738 is 3 .
LCM of Denominators means LCM of 95,346 as per the given fractions.
LCM of 95,346 is 32870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1137,3738
3 | 1137, 3738 |
379, 1246 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1137
List of positive integer factors of 1137 that divides 1137 without a remainder.
1,3,379,1137
Factors of 3738
List of positive integer factors of 3738 that divides 3738 without a remainder.
1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738
Greatest Common Factor
We found the factors 1137,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 1137,3738 is 3.
Lets's calculate LCM of 95,346
Given numbers has no common factors except 1. So, there LCM is their product i.e 32870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/32870
Therefore, the GCF of Fractions 1137/95,3738/346 is 3/32870
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 95,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,346) x common factors =1 x 1 = 1
LCM(95,346) = ( 95 × 346 ) / 1
LCM(95,346) = 32870 / 1
LCM(95,346) = 32870
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 1137/95, 3738/346?
Answer: GCF of Numerators as per given numbers 1137/95, 3738/346 is
GCF of Numerators i.e. for 1137,3738 is 3
LCM of denominators i.e. for 95,346 is 32870.
Thus, GCF of Fractions is 3/32870.Finally, GCF of Fractions for 1137/95, 3738/346 is 3/32870.