Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 521/64,490/794
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 521,490
Greatest Common Factor of Numerators i.e. GCF of 521,490 is 1 .
LCM of Denominators means LCM of 64,794 as per the given fractions.
LCM of 64,794 is 25408 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 521,490
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 521,490 . The biggest common factor number is the GCF number.
So the greatest common factor 521,490 is 1.
Lets's calculate LCM of 64,794
2 | 64, 794 |
32, 397 |
∴ So the LCM of the given numbers is 2 x 32 x 397 = 25408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25408
Therefore, the GCF of Fractions 521/64,490/794 is 1/25408
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 64,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,794) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(64,794) x common factors =2 x 1 = 2
LCM(64,794) = ( 64 × 794 ) / 2
LCM(64,794) = 50816 / 2
LCM(64,794) = 25408
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 521/64, 490/794?
Answer: GCF of Numerators as per given numbers 521/64, 490/794 is
GCF of Numerators i.e. for 521,490 is 1
LCM of denominators i.e. for 64,794 is 25408.
Thus, GCF of Fractions is 1/25408.Finally, GCF of Fractions for 521/64, 490/794 is 1/25408.