Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 955/852,3247/675
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 955,3247
Greatest Common Factor of Numerators i.e. GCF of 955,3247 is 191 .
LCM of Denominators means LCM of 852,675 as per the given fractions.
LCM of 852,675 is 191700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 955,3247
191 | 955, 3247 |
5, 17 |
∴ So the GCF of the given numbers is 191 = 191
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 3247
List of positive integer factors of 3247 that divides 3247 without a remainder.
1,17,191,3247
Greatest Common Factor
We found the factors 955,3247 . The biggest common factor number is the GCF number.
So the greatest common factor 955,3247 is 191.
Lets's calculate LCM of 852,675
3 | 852, 675 |
284, 225 |
∴ So the LCM of the given numbers is 3 x 284 x 225 = 191700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 191/191700
Therefore, the GCF of Fractions 955/852,3247/675 is 191/191700
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 852,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,675) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(852,675) x common factors =3 x 1 = 3
LCM(852,675) = ( 852 × 675 ) / 3
LCM(852,675) = 575100 / 3
LCM(852,675) = 191700
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 955/852, 3247/675?
Answer: GCF of Numerators as per given numbers 955/852, 3247/675 is
GCF of Numerators i.e. for 955,3247 is 191
LCM of denominators i.e. for 852,675 is 191700.
Thus, GCF of Fractions is 191/191700.Finally, GCF of Fractions for 955/852, 3247/675 is 191/191700.