Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/801,266/464,640/145
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 36,266,640
Greatest Common Factor of Numerators i.e. GCF of 36,266,640 is 2 .
LCM of Denominators means LCM of 801,464,145 as per the given fractions.
LCM of 801,464,145 is 1858320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,266,640
2 | 36, 266, 640 |
18, 133, 320 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 36,266,640 . The biggest common factor number is the GCF number.
So the greatest common factor 36,266,640 is 2.
Lets's calculate LCM of 801,464,145
29 | 801, 464, 145 |
801, 16, 5 |
∴ So the LCM of the given numbers is 29 x 801 x 16 x 5 = 1858320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1858320
Therefore, the GCF of Fractions 36/801,266/464,640/145 is 2/1858320
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 801,464,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,464,145) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(801,464,145) x common factors =1 x 29 = 29
LCM(801,464,145) = ( 801 × 464 × 145 ) / 29
LCM(801,464,145) = 53891280 / 29
LCM(801,464,145) = 1858320
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 36/801, 266/464, 640/145?
Answer: GCF of Numerators as per given numbers 36/801, 266/464, 640/145 is
GCF of Numerators i.e. for 36,266,640 is 2
LCM of denominators i.e. for 801,464,145 is 1858320.
Thus, GCF of Fractions is 2/1858320.Finally, GCF of Fractions for 36/801, 266/464, 640/145 is 2/1858320.