Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6857/760,1779/7514
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 6857,1779
Greatest Common Factor of Numerators i.e. GCF of 6857,1779 is 1 .
LCM of Denominators means LCM of 760,7514 as per the given fractions.
LCM of 760,7514 is 2855320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6857,1779
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6857
List of positive integer factors of 6857 that divides 6857 without a remainder.
1,6857
Factors of 1779
List of positive integer factors of 1779 that divides 1779 without a remainder.
1,3,593,1779
Greatest Common Factor
We found the factors 6857,1779 . The biggest common factor number is the GCF number.
So the greatest common factor 6857,1779 is 1.
Lets's calculate LCM of 760,7514
2 | 760, 7514 |
380, 3757 |
∴ So the LCM of the given numbers is 2 x 380 x 3757 = 2855320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2855320
Therefore, the GCF of Fractions 6857/760,1779/7514 is 1/2855320
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 760,7514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,7514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(760,7514) x common factors =2 x 1 = 2
LCM(760,7514) = ( 760 × 7514 ) / 2
LCM(760,7514) = 5710640 / 2
LCM(760,7514) = 2855320
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 6857/760, 1779/7514?
Answer: GCF of Numerators as per given numbers 6857/760, 1779/7514 is
GCF of Numerators i.e. for 6857,1779 is 1
LCM of denominators i.e. for 760,7514 is 2855320.
Thus, GCF of Fractions is 1/2855320.Finally, GCF of Fractions for 6857/760, 1779/7514 is 1/2855320.