Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 965/127,340/592,900/176
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 965,340,900
Greatest Common Factor of Numerators i.e. GCF of 965,340,900 is 5 .
LCM of Denominators means LCM of 127,592,176 as per the given fractions.
LCM of 127,592,176 is 827024 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 965,340,900
5 | 965, 340, 900 |
193, 68, 180 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 965,340,900 . The biggest common factor number is the GCF number.
So the greatest common factor 965,340,900 is 5.
Lets's calculate LCM of 127,592,176
2 | 127, 592, 176 |
2 | 127, 296, 88 |
2 | 127, 148, 44 |
2 | 127, 74, 22 |
127, 37, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 127 x 37 x 11 = 827024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/827024
Therefore, the GCF of Fractions 965/127,340/592,900/176 is 5/827024
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 127,592,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,592,176) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(127,592,176) x common factors =1 x 16 = 16
LCM(127,592,176) = ( 127 × 592 × 176 ) / 16
LCM(127,592,176) = 13232384 / 16
LCM(127,592,176) = 827024
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 965/127, 340/592, 900/176?
Answer: GCF of Numerators as per given numbers 965/127, 340/592, 900/176 is
GCF of Numerators i.e. for 965,340,900 is 5
LCM of denominators i.e. for 127,592,176 is 827024.
Thus, GCF of Fractions is 5/827024.Finally, GCF of Fractions for 965/127, 340/592, 900/176 is 5/827024.