Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 561/689,240/711
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 561,240
Greatest Common Factor of Numerators i.e. GCF of 561,240 is 3 .
LCM of Denominators means LCM of 689,711 as per the given fractions.
LCM of 689,711 is 489879 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 561,240
3 | 561, 240 |
187, 80 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Greatest Common Factor
We found the factors 561,240 . The biggest common factor number is the GCF number.
So the greatest common factor 561,240 is 3.
Lets's calculate LCM of 689,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 489879
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/489879
Therefore, the GCF of Fractions 561/689,240/711 is 3/489879
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 689,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,711) x common factors =1 x 1 = 1
LCM(689,711) = ( 689 × 711 ) / 1
LCM(689,711) = 489879 / 1
LCM(689,711) = 489879
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 561/689, 240/711?
Answer: GCF of Numerators as per given numbers 561/689, 240/711 is
GCF of Numerators i.e. for 561,240 is 3
LCM of denominators i.e. for 689,711 is 489879.
Thus, GCF of Fractions is 3/489879.Finally, GCF of Fractions for 561/689, 240/711 is 3/489879.