Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1350/875,9072/4253
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 1350,9072
Greatest Common Factor of Numerators i.e. GCF of 1350,9072 is 54 .
LCM of Denominators means LCM of 875,4253 as per the given fractions.
LCM of 875,4253 is 3721375 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1350,9072
2 | 1350, 9072 |
3 | 675, 4536 |
3 | 225, 1512 |
3 | 75, 504 |
25, 168 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Factors of 1350
List of positive integer factors of 1350 that divides 1350 without a remainder.
1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350
Factors of 9072
List of positive integer factors of 9072 that divides 9072 without a remainder.
1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072
Greatest Common Factor
We found the factors 1350,9072 . The biggest common factor number is the GCF number.
So the greatest common factor 1350,9072 is 54.
Lets's calculate LCM of 875,4253
Given numbers has no common factors except 1. So, there LCM is their product i.e 3721375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/3721375
Therefore, the GCF of Fractions 1350/875,9072/4253 is 54/3721375
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 875,4253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,4253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,4253) x common factors =1 x 1 = 1
LCM(875,4253) = ( 875 × 4253 ) / 1
LCM(875,4253) = 3721375 / 1
LCM(875,4253) = 3721375
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 1350/875, 9072/4253?
Answer: GCF of Numerators as per given numbers 1350/875, 9072/4253 is
GCF of Numerators i.e. for 1350,9072 is 54
LCM of denominators i.e. for 875,4253 is 3721375.
Thus, GCF of Fractions is 54/3721375.Finally, GCF of Fractions for 1350/875, 9072/4253 is 54/3721375.