Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/206,740/632,455/832
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 88,740,455
Greatest Common Factor of Numerators i.e. GCF of 88,740,455 is 1 .
LCM of Denominators means LCM of 206,632,832 as per the given fractions.
LCM of 206,632,832 is 6769984 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,740,455
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
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 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 88,740,455 . The biggest common factor number is the GCF number.
So the greatest common factor 88,740,455 is 1.
Lets's calculate LCM of 206,632,832
2 | 206, 632, 832 |
2 | 103, 316, 416 |
2 | 103, 158, 208 |
103, 79, 104 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 103 x 79 x 104 = 6769984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6769984
Therefore, the GCF of Fractions 88/206,740/632,455/832 is 1/6769984
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 206,632,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,632,832) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(206,632,832) x common factors =2 x 8 = 16
LCM(206,632,832) = ( 206 × 632 × 832 ) / 16
LCM(206,632,832) = 108319744 / 16
LCM(206,632,832) = 6769984
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 88/206, 740/632, 455/832?
Answer: GCF of Numerators as per given numbers 88/206, 740/632, 455/832 is
GCF of Numerators i.e. for 88,740,455 is 1
LCM of denominators i.e. for 206,632,832 is 6769984.
Thus, GCF of Fractions is 1/6769984.Finally, GCF of Fractions for 88/206, 740/632, 455/832 is 1/6769984.