Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 971/827,823/632,150/764
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 971,823,150
Greatest Common Factor of Numerators i.e. GCF of 971,823,150 is 1 .
LCM of Denominators means LCM of 827,632,764 as per the given fractions.
LCM of 827,632,764 is 99828824 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 971,823,150
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 971,823,150 . The biggest common factor number is the GCF number.
So the greatest common factor 971,823,150 is 1.
Lets's calculate LCM of 827,632,764
2 | 827, 632, 764 |
2 | 827, 316, 382 |
827, 158, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 827 x 158 x 191 = 99828824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99828824
Therefore, the GCF of Fractions 971/827,823/632,150/764 is 1/99828824
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 827,632,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,632,764) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(827,632,764) x common factors =1 x 4 = 4
LCM(827,632,764) = ( 827 × 632 × 764 ) / 4
LCM(827,632,764) = 399315296 / 4
LCM(827,632,764) = 99828824
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 971/827, 823/632, 150/764?
Answer: GCF of Numerators as per given numbers 971/827, 823/632, 150/764 is
GCF of Numerators i.e. for 971,823,150 is 1
LCM of denominators i.e. for 827,632,764 is 99828824.
Thus, GCF of Fractions is 1/99828824.Finally, GCF of Fractions for 971/827, 823/632, 150/764 is 1/99828824.