Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1102/465,1150/372
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 1102,1150
Greatest Common Factor of Numerators i.e. GCF of 1102,1150 is 2 .
LCM of Denominators means LCM of 465,372 as per the given fractions.
LCM of 465,372 is 1860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1102,1150
2 | 1102, 1150 |
551, 575 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1102
List of positive integer factors of 1102 that divides 1102 without a remainder.
1,2,19,29,38,58,551,1102
Factors of 1150
List of positive integer factors of 1150 that divides 1150 without a remainder.
1,2,5,10,23,25,46,50,115,230,575,1150
Greatest Common Factor
We found the factors 1102,1150 . The biggest common factor number is the GCF number.
So the greatest common factor 1102,1150 is 2.
Lets's calculate LCM of 465,372
3 | 465, 372 |
31 | 155, 124 |
5, 4 |
∴ So the LCM of the given numbers is 3 x 31 x 5 x 4 = 1860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1860
Therefore, the GCF of Fractions 1102/465,1150/372 is 2/1860
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 465,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,372) = 93
common factors(in case of two or more numbers have common factors) = 1
GCF(465,372) x common factors =93 x 1 = 93
LCM(465,372) = ( 465 × 372 ) / 93
LCM(465,372) = 172980 / 93
LCM(465,372) = 1860
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 1102/465, 1150/372?
Answer: GCF of Numerators as per given numbers 1102/465, 1150/372 is
GCF of Numerators i.e. for 1102,1150 is 2
LCM of denominators i.e. for 465,372 is 1860.
Thus, GCF of Fractions is 2/1860.Finally, GCF of Fractions for 1102/465, 1150/372 is 2/1860.