Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/75,82/22,55/177,687/789
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 5,82,55,687
Greatest Common Factor of Numerators i.e. GCF of 5,82,55,687 is 1 .
LCM of Denominators means LCM of 75,22,177,789 as per the given fractions.
LCM of 75,22,177,789 is 25603050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,82,55,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Greatest Common Factor
We found the factors 5,82,55,687 . The biggest common factor number is the GCF number.
So the greatest common factor 5,82,55,687 is 1.
Lets's calculate LCM of 75,22,177,789
3 | 75, 22, 177, 789 |
25, 22, 59, 263 |
∴ So the LCM of the given numbers is 3 x 25 x 22 x 59 x 263 = 25603050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25603050
Therefore, the GCF of Fractions 5/75,82/22,55/177,687/789 is 1/25603050
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 75,22,177,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,22,177,789) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(75,22,177,789) x common factors =1 x 9 = 9
LCM(75,22,177,789) = ( 75 × 22 × 177 × 789 ) / 9
LCM(75,22,177,789) = 230427450 / 9
LCM(75,22,177,789) = 25603050
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 5/75, 82/22, 55/177, 687/789?
Answer: GCF of Numerators as per given numbers 5/75, 82/22, 55/177, 687/789 is
GCF of Numerators i.e. for 5,82,55,687 is 1
LCM of denominators i.e. for 75,22,177,789 is 25603050.
Thus, GCF of Fractions is 1/25603050.Finally, GCF of Fractions for 5/75, 82/22, 55/177, 687/789 is 1/25603050.