Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 707/17,174/10,344/705
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 707,174,344
Greatest Common Factor of Numerators i.e. GCF of 707,174,344 is 1 .
LCM of Denominators means LCM of 17,10,705 as per the given fractions.
LCM of 17,10,705 is 23970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 707,174,344
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 707,174,344 . The biggest common factor number is the GCF number.
So the greatest common factor 707,174,344 is 1.
Lets's calculate LCM of 17,10,705
5 | 17, 10, 705 |
17, 2, 141 |
∴ So the LCM of the given numbers is 5 x 17 x 2 x 141 = 23970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23970
Therefore, the GCF of Fractions 707/17,174/10,344/705 is 1/23970
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 17,10,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,10,705) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(17,10,705) x common factors =1 x 5 = 5
LCM(17,10,705) = ( 17 × 10 × 705 ) / 5
LCM(17,10,705) = 119850 / 5
LCM(17,10,705) = 23970
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 707/17, 174/10, 344/705?
Answer: GCF of Numerators as per given numbers 707/17, 174/10, 344/705 is
GCF of Numerators i.e. for 707,174,344 is 1
LCM of denominators i.e. for 17,10,705 is 23970.
Thus, GCF of Fractions is 1/23970.Finally, GCF of Fractions for 707/17, 174/10, 344/705 is 1/23970.