Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 944/762,4162/255
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 944,4162
Greatest Common Factor of Numerators i.e. GCF of 944,4162 is 2 .
LCM of Denominators means LCM of 762,255 as per the given fractions.
LCM of 762,255 is 64770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 944,4162
2 | 944, 4162 |
472, 2081 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 4162
List of positive integer factors of 4162 that divides 4162 without a remainder.
1,2,2081,4162
Greatest Common Factor
We found the factors 944,4162 . The biggest common factor number is the GCF number.
So the greatest common factor 944,4162 is 2.
Lets's calculate LCM of 762,255
3 | 762, 255 |
254, 85 |
∴ So the LCM of the given numbers is 3 x 254 x 85 = 64770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64770
Therefore, the GCF of Fractions 944/762,4162/255 is 2/64770
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 762,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,255) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(762,255) x common factors =3 x 1 = 3
LCM(762,255) = ( 762 × 255 ) / 3
LCM(762,255) = 194310 / 3
LCM(762,255) = 64770
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 944/762, 4162/255?
Answer: GCF of Numerators as per given numbers 944/762, 4162/255 is
GCF of Numerators i.e. for 944,4162 is 2
LCM of denominators i.e. for 762,255 is 64770.
Thus, GCF of Fractions is 2/64770.Finally, GCF of Fractions for 944/762, 4162/255 is 2/64770.