Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/69,68/86,56/891,759/666
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 4,68,56,759
Greatest Common Factor of Numerators i.e. GCF of 4,68,56,759 is 1 .
LCM of Denominators means LCM of 69,86,891,666 as per the given fractions.
LCM of 69,86,891,666 is 65208726 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,68,56,759
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 4,68,56,759 . The biggest common factor number is the GCF number.
So the greatest common factor 4,68,56,759 is 1.
Lets's calculate LCM of 69,86,891,666
2 | 69, 86, 891, 666 |
3 | 69, 43, 891, 333 |
3 | 23, 43, 297, 111 |
23, 43, 99, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 43 x 99 x 37 = 65208726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65208726
Therefore, the GCF of Fractions 4/69,68/86,56/891,759/666 is 1/65208726
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 69,86,891,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,86,891,666) = 1
common factors(in case of two or more numbers have common factors) = 54
GCF(69,86,891,666) x common factors =1 x 54 = 54
LCM(69,86,891,666) = ( 69 × 86 × 891 × 666 ) / 54
LCM(69,86,891,666) = 3521271204 / 54
LCM(69,86,891,666) = 65208726
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 4/69, 68/86, 56/891, 759/666?
Answer: GCF of Numerators as per given numbers 4/69, 68/86, 56/891, 759/666 is
GCF of Numerators i.e. for 4,68,56,759 is 1
LCM of denominators i.e. for 69,86,891,666 is 65208726.
Thus, GCF of Fractions is 1/65208726.Finally, GCF of Fractions for 4/69, 68/86, 56/891, 759/666 is 1/65208726.