Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 968/57,641/55,920/705
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 968,641,920
Greatest Common Factor of Numerators i.e. GCF of 968,641,920 is 1 .
LCM of Denominators means LCM of 57,55,705 as per the given fractions.
LCM of 57,55,705 is 147345 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 968,641,920
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 968,641,920 . The biggest common factor number is the GCF number.
So the greatest common factor 968,641,920 is 1.
Lets's calculate LCM of 57,55,705
3 | 57, 55, 705 |
5 | 19, 55, 235 |
19, 11, 47 |
∴ So the LCM of the given numbers is 3 x 5 x 19 x 11 x 47 = 147345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147345
Therefore, the GCF of Fractions 968/57,641/55,920/705 is 1/147345
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 57,55,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,55,705) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(57,55,705) x common factors =1 x 15 = 15
LCM(57,55,705) = ( 57 × 55 × 705 ) / 15
LCM(57,55,705) = 2210175 / 15
LCM(57,55,705) = 147345
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 968/57, 641/55, 920/705?
Answer: GCF of Numerators as per given numbers 968/57, 641/55, 920/705 is
GCF of Numerators i.e. for 968,641,920 is 1
LCM of denominators i.e. for 57,55,705 is 147345.
Thus, GCF of Fractions is 1/147345.Finally, GCF of Fractions for 968/57, 641/55, 920/705 is 1/147345.