Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 417/70,740/16,708/815
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 417,740,708
Greatest Common Factor of Numerators i.e. GCF of 417,740,708 is 1 .
LCM of Denominators means LCM of 70,16,815 as per the given fractions.
LCM of 70,16,815 is 91280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 417,740,708
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1,3,139,417
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Greatest Common Factor
We found the factors 417,740,708 . The biggest common factor number is the GCF number.
So the greatest common factor 417,740,708 is 1.
Lets's calculate LCM of 70,16,815
2 | 70, 16, 815 |
5 | 35, 8, 815 |
7, 8, 163 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 8 x 163 = 91280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91280
Therefore, the GCF of Fractions 417/70,740/16,708/815 is 1/91280
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 70,16,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,16,815) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(70,16,815) x common factors =1 x 10 = 10
LCM(70,16,815) = ( 70 × 16 × 815 ) / 10
LCM(70,16,815) = 912800 / 10
LCM(70,16,815) = 91280
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 417/70, 740/16, 708/815?
Answer: GCF of Numerators as per given numbers 417/70, 740/16, 708/815 is
GCF of Numerators i.e. for 417,740,708 is 1
LCM of denominators i.e. for 70,16,815 is 91280.
Thus, GCF of Fractions is 1/91280.Finally, GCF of Fractions for 417/70, 740/16, 708/815 is 1/91280.