Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/64,50/920,423/991
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 21,50,423
Greatest Common Factor of Numerators i.e. GCF of 21,50,423 is 1 .
LCM of Denominators means LCM of 64,920,991 as per the given fractions.
LCM of 64,920,991 is 7293760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,50,423
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Greatest Common Factor
We found the factors 21,50,423 . The biggest common factor number is the GCF number.
So the greatest common factor 21,50,423 is 1.
Lets's calculate LCM of 64,920,991
2 | 64, 920, 991 |
2 | 32, 460, 991 |
2 | 16, 230, 991 |
8, 115, 991 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 115 x 991 = 7293760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7293760
Therefore, the GCF of Fractions 21/64,50/920,423/991 is 1/7293760
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 64,920,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,920,991) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(64,920,991) x common factors =1 x 8 = 8
LCM(64,920,991) = ( 64 × 920 × 991 ) / 8
LCM(64,920,991) = 58350080 / 8
LCM(64,920,991) = 7293760
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 21/64, 50/920, 423/991?
Answer: GCF of Numerators as per given numbers 21/64, 50/920, 423/991 is
GCF of Numerators i.e. for 21,50,423 is 1
LCM of denominators i.e. for 64,920,991 is 7293760.
Thus, GCF of Fractions is 1/7293760.Finally, GCF of Fractions for 21/64, 50/920, 423/991 is 1/7293760.