Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 955/823,1528/307
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 955,1528
Greatest Common Factor of Numerators i.e. GCF of 955,1528 is 191 .
LCM of Denominators means LCM of 823,307 as per the given fractions.
LCM of 823,307 is 252661 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 955,1528
191 | 955, 1528 |
5, 8 |
∴ 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 1528
List of positive integer factors of 1528 that divides 1528 without a remainder.
1,2,4,8,191,382,764,1528
Greatest Common Factor
We found the factors 955,1528 . The biggest common factor number is the GCF number.
So the greatest common factor 955,1528 is 191.
Lets's calculate LCM of 823,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 252661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 191/252661
Therefore, the GCF of Fractions 955/823,1528/307 is 191/252661
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 823,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,307) x common factors =1 x 1 = 1
LCM(823,307) = ( 823 × 307 ) / 1
LCM(823,307) = 252661 / 1
LCM(823,307) = 252661
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 955/823, 1528/307?
Answer: GCF of Numerators as per given numbers 955/823, 1528/307 is
GCF of Numerators i.e. for 955,1528 is 191
LCM of denominators i.e. for 823,307 is 252661.
Thus, GCF of Fractions is 191/252661.Finally, GCF of Fractions for 955/823, 1528/307 is 191/252661.