Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 234/778,845/113,868/855
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 234,845,868
Greatest Common Factor of Numerators i.e. GCF of 234,845,868 is 1 .
LCM of Denominators means LCM of 778,113,855 as per the given fractions.
LCM of 778,113,855 is 75166470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 234,845,868
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Greatest Common Factor
We found the factors 234,845,868 . The biggest common factor number is the GCF number.
So the greatest common factor 234,845,868 is 1.
Lets's calculate LCM of 778,113,855
Given numbers has no common factors except 1. So, there LCM is their product i.e 75166470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75166470
Therefore, the GCF of Fractions 234/778,845/113,868/855 is 1/75166470
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 778,113,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,113,855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,113,855) x common factors =1 x 1 = 1
LCM(778,113,855) = ( 778 × 113 × 855 ) / 1
LCM(778,113,855) = 75166470 / 1
LCM(778,113,855) = 75166470
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 234/778, 845/113, 868/855?
Answer: GCF of Numerators as per given numbers 234/778, 845/113, 868/855 is
GCF of Numerators i.e. for 234,845,868 is 1
LCM of denominators i.e. for 778,113,855 is 75166470.
Thus, GCF of Fractions is 1/75166470.Finally, GCF of Fractions for 234/778, 845/113, 868/855 is 1/75166470.