Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/110,295/330,749/354
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 88,295,749
Greatest Common Factor of Numerators i.e. GCF of 88,295,749 is 1 .
LCM of Denominators means LCM of 110,330,354 as per the given fractions.
LCM of 110,330,354 is 19470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,295,749
∴ 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 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Greatest Common Factor
We found the factors 88,295,749 . The biggest common factor number is the GCF number.
So the greatest common factor 88,295,749 is 1.
Lets's calculate LCM of 110,330,354
2 | 110, 330, 354 |
3 | 55, 165, 177 |
5 | 55, 55, 59 |
11 | 11, 11, 59 |
1, 1, 59 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 1 x 1 x 59 = 19470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19470
Therefore, the GCF of Fractions 88/110,295/330,749/354 is 1/19470
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 110,330,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,330,354) = 2
common factors(in case of two or more numbers have common factors) = 330
GCF(110,330,354) x common factors =2 x 330 = 660
LCM(110,330,354) = ( 110 × 330 × 354 ) / 660
LCM(110,330,354) = 12850200 / 660
LCM(110,330,354) = 19470
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 88/110, 295/330, 749/354?
Answer: GCF of Numerators as per given numbers 88/110, 295/330, 749/354 is
GCF of Numerators i.e. for 88,295,749 is 1
LCM of denominators i.e. for 110,330,354 is 19470.
Thus, GCF of Fractions is 1/19470.Finally, GCF of Fractions for 88/110, 295/330, 749/354 is 1/19470.