Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1036/370,9418/5912
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 1036,9418
Greatest Common Factor of Numerators i.e. GCF of 1036,9418 is 2 .
LCM of Denominators means LCM of 370,5912 as per the given fractions.
LCM of 370,5912 is 1093720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1036,9418
2 | 1036, 9418 |
518, 4709 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1036
List of positive integer factors of 1036 that divides 1036 without a remainder.
1,2,4,7,14,28,37,74,148,259,518,1036
Factors of 9418
List of positive integer factors of 9418 that divides 9418 without a remainder.
1,2,17,34,277,554,4709,9418
Greatest Common Factor
We found the factors 1036,9418 . The biggest common factor number is the GCF number.
So the greatest common factor 1036,9418 is 2.
Lets's calculate LCM of 370,5912
2 | 370, 5912 |
185, 2956 |
∴ So the LCM of the given numbers is 2 x 185 x 2956 = 1093720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1093720
Therefore, the GCF of Fractions 1036/370,9418/5912 is 2/1093720
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 370,5912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,5912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,5912) x common factors =2 x 1 = 2
LCM(370,5912) = ( 370 × 5912 ) / 2
LCM(370,5912) = 2187440 / 2
LCM(370,5912) = 1093720
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 1036/370, 9418/5912?
Answer: GCF of Numerators as per given numbers 1036/370, 9418/5912 is
GCF of Numerators i.e. for 1036,9418 is 2
LCM of denominators i.e. for 370,5912 is 1093720.
Thus, GCF of Fractions is 2/1093720.Finally, GCF of Fractions for 1036/370, 9418/5912 is 2/1093720.