Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/57,26/708,623/862
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 95,26,623
Greatest Common Factor of Numerators i.e. GCF of 95,26,623 is 1 .
LCM of Denominators means LCM of 57,708,862 as per the given fractions.
LCM of 57,708,862 is 5797812 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,26,623
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Greatest Common Factor
We found the factors 95,26,623 . The biggest common factor number is the GCF number.
So the greatest common factor 95,26,623 is 1.
Lets's calculate LCM of 57,708,862
2 | 57, 708, 862 |
3 | 57, 354, 431 |
19, 118, 431 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 118 x 431 = 5797812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5797812
Therefore, the GCF of Fractions 95/57,26/708,623/862 is 1/5797812
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 57,708,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,708,862) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(57,708,862) x common factors =1 x 6 = 6
LCM(57,708,862) = ( 57 × 708 × 862 ) / 6
LCM(57,708,862) = 34786872 / 6
LCM(57,708,862) = 5797812
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 95/57, 26/708, 623/862?
Answer: GCF of Numerators as per given numbers 95/57, 26/708, 623/862 is
GCF of Numerators i.e. for 95,26,623 is 1
LCM of denominators i.e. for 57,708,862 is 5797812.
Thus, GCF of Fractions is 1/5797812.Finally, GCF of Fractions for 95/57, 26/708, 623/862 is 1/5797812.