Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 732/114,112/160,128/803
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 732,112,128
Greatest Common Factor of Numerators i.e. GCF of 732,112,128 is 4 .
LCM of Denominators means LCM of 114,160,803 as per the given fractions.
LCM of 114,160,803 is 7323360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 732,112,128
2 | 732, 112, 128 |
2 | 366, 56, 64 |
183, 28, 32 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Greatest Common Factor
We found the factors 732,112,128 . The biggest common factor number is the GCF number.
So the greatest common factor 732,112,128 is 4.
Lets's calculate LCM of 114,160,803
2 | 114, 160, 803 |
57, 80, 803 |
∴ So the LCM of the given numbers is 2 x 57 x 80 x 803 = 7323360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7323360
Therefore, the GCF of Fractions 732/114,112/160,128/803 is 4/7323360
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 114,160,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,160,803) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(114,160,803) x common factors =1 x 2 = 2
LCM(114,160,803) = ( 114 × 160 × 803 ) / 2
LCM(114,160,803) = 14646720 / 2
LCM(114,160,803) = 7323360
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 732/114, 112/160, 128/803?
Answer: GCF of Numerators as per given numbers 732/114, 112/160, 128/803 is
GCF of Numerators i.e. for 732,112,128 is 4
LCM of denominators i.e. for 114,160,803 is 7323360.
Thus, GCF of Fractions is 4/7323360.Finally, GCF of Fractions for 732/114, 112/160, 128/803 is 4/7323360.