Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/36,65/62,64/550,484/514
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 1,65,64,484
Greatest Common Factor of Numerators i.e. GCF of 1,65,64,484 is 1 .
LCM of Denominators means LCM of 36,62,550,514 as per the given fractions.
LCM of 36,62,550,514 is 78873300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,65,64,484
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Greatest Common Factor
We found the factors 1,65,64,484 . The biggest common factor number is the GCF number.
So the greatest common factor 1,65,64,484 is 1.
Lets's calculate LCM of 36,62,550,514
2 | 36, 62, 550, 514 |
18, 31, 275, 257 |
∴ So the LCM of the given numbers is 2 x 18 x 31 x 275 x 257 = 78873300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78873300
Therefore, the GCF of Fractions 1/36,65/62,64/550,484/514 is 1/78873300
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 36,62,550,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,62,550,514) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(36,62,550,514) x common factors =2 x 4 = 8
LCM(36,62,550,514) = ( 36 × 62 × 550 × 514 ) / 8
LCM(36,62,550,514) = 630986400 / 8
LCM(36,62,550,514) = 78873300
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 1/36, 65/62, 64/550, 484/514?
Answer: GCF of Numerators as per given numbers 1/36, 65/62, 64/550, 484/514 is
GCF of Numerators i.e. for 1,65,64,484 is 1
LCM of denominators i.e. for 36,62,550,514 is 78873300.
Thus, GCF of Fractions is 1/78873300.Finally, GCF of Fractions for 1/36, 65/62, 64/550, 484/514 is 1/78873300.