Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 213/32,526/1468
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 213,526
Greatest Common Factor of Numerators i.e. GCF of 213,526 is 1 .
LCM of Denominators means LCM of 32,1468 as per the given fractions.
LCM of 32,1468 is 11744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 213,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 213,526 . The biggest common factor number is the GCF number.
So the greatest common factor 213,526 is 1.
Lets's calculate LCM of 32,1468
2 | 32, 1468 |
2 | 16, 734 |
8, 367 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 367 = 11744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11744
Therefore, the GCF of Fractions 213/32,526/1468 is 1/11744
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 32,1468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,1468) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(32,1468) x common factors =4 x 1 = 4
LCM(32,1468) = ( 32 × 1468 ) / 4
LCM(32,1468) = 46976 / 4
LCM(32,1468) = 11744
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 213/32, 526/1468?
Answer: GCF of Numerators as per given numbers 213/32, 526/1468 is
GCF of Numerators i.e. for 213,526 is 1
LCM of denominators i.e. for 32,1468 is 11744.
Thus, GCF of Fractions is 1/11744.Finally, GCF of Fractions for 213/32, 526/1468 is 1/11744.