Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/150,451/610,688/465
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 88,451,688
Greatest Common Factor of Numerators i.e. GCF of 88,451,688 is 1 .
LCM of Denominators means LCM of 150,610,465 as per the given fractions.
LCM of 150,610,465 is 283650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,451,688
∴ 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 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 88,451,688 . The biggest common factor number is the GCF number.
So the greatest common factor 88,451,688 is 1.
Lets's calculate LCM of 150,610,465
2 | 150, 610, 465 |
3 | 75, 305, 465 |
5 | 25, 305, 155 |
5, 61, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 61 x 31 = 283650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283650
Therefore, the GCF of Fractions 88/150,451/610,688/465 is 1/283650
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 150,610,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,610,465) = 5
common factors(in case of two or more numbers have common factors) = 30
GCF(150,610,465) x common factors =5 x 30 = 150
LCM(150,610,465) = ( 150 × 610 × 465 ) / 150
LCM(150,610,465) = 42547500 / 150
LCM(150,610,465) = 283650
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 88/150, 451/610, 688/465?
Answer: GCF of Numerators as per given numbers 88/150, 451/610, 688/465 is
GCF of Numerators i.e. for 88,451,688 is 1
LCM of denominators i.e. for 150,610,465 is 283650.
Thus, GCF of Fractions is 1/283650.Finally, GCF of Fractions for 88/150, 451/610, 688/465 is 1/283650.