Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 691/70,416/55,505/705
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 691,416,505
Greatest Common Factor of Numerators i.e. GCF of 691,416,505 is 1 .
LCM of Denominators means LCM of 70,55,705 as per the given fractions.
LCM of 70,55,705 is 108570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 691,416,505
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Greatest Common Factor
We found the factors 691,416,505 . The biggest common factor number is the GCF number.
So the greatest common factor 691,416,505 is 1.
Lets's calculate LCM of 70,55,705
5 | 70, 55, 705 |
14, 11, 141 |
∴ So the LCM of the given numbers is 5 x 14 x 11 x 141 = 108570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108570
Therefore, the GCF of Fractions 691/70,416/55,505/705 is 1/108570
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 70,55,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,55,705) = 5
common factors(in case of two or more numbers have common factors) = 5
GCF(70,55,705) x common factors =5 x 5 = 25
LCM(70,55,705) = ( 70 × 55 × 705 ) / 25
LCM(70,55,705) = 2714250 / 25
LCM(70,55,705) = 108570
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 691/70, 416/55, 505/705?
Answer: GCF of Numerators as per given numbers 691/70, 416/55, 505/705 is
GCF of Numerators i.e. for 691,416,505 is 1
LCM of denominators i.e. for 70,55,705 is 108570.
Thus, GCF of Fractions is 1/108570.Finally, GCF of Fractions for 691/70, 416/55, 505/705 is 1/108570.