Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 846/20,921/8578
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 846,921
Greatest Common Factor of Numerators i.e. GCF of 846,921 is 3 .
LCM of Denominators means LCM of 20,8578 as per the given fractions.
LCM of 20,8578 is 85780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 846,921
3 | 846, 921 |
282, 307 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Greatest Common Factor
We found the factors 846,921 . The biggest common factor number is the GCF number.
So the greatest common factor 846,921 is 3.
Lets's calculate LCM of 20,8578
2 | 20, 8578 |
10, 4289 |
∴ So the LCM of the given numbers is 2 x 10 x 4289 = 85780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/85780
Therefore, the GCF of Fractions 846/20,921/8578 is 3/85780
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 20,8578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,8578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(20,8578) x common factors =2 x 1 = 2
LCM(20,8578) = ( 20 × 8578 ) / 2
LCM(20,8578) = 171560 / 2
LCM(20,8578) = 85780
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 846/20, 921/8578?
Answer: GCF of Numerators as per given numbers 846/20, 921/8578 is
GCF of Numerators i.e. for 846,921 is 3
LCM of denominators i.e. for 20,8578 is 85780.
Thus, GCF of Fractions is 3/85780.Finally, GCF of Fractions for 846/20, 921/8578 is 3/85780.