Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 275/456,150/862
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 275,150
Greatest Common Factor of Numerators i.e. GCF of 275,150 is 25 .
LCM of Denominators means LCM of 456,862 as per the given fractions.
LCM of 456,862 is 196536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 275,150
5 | 275, 150 |
5 | 55, 30 |
11, 6 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 275,150 . The biggest common factor number is the GCF number.
So the greatest common factor 275,150 is 25.
Lets's calculate LCM of 456,862
2 | 456, 862 |
228, 431 |
∴ So the LCM of the given numbers is 2 x 228 x 431 = 196536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/196536
Therefore, the GCF of Fractions 275/456,150/862 is 25/196536
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 456,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(456,862) x common factors =2 x 1 = 2
LCM(456,862) = ( 456 × 862 ) / 2
LCM(456,862) = 393072 / 2
LCM(456,862) = 196536
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 275/456, 150/862?
Answer: GCF of Numerators as per given numbers 275/456, 150/862 is
GCF of Numerators i.e. for 275,150 is 25
LCM of denominators i.e. for 456,862 is 196536.
Thus, GCF of Fractions is 25/196536.Finally, GCF of Fractions for 275/456, 150/862 is 25/196536.