Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6915/940,8800/1072
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 6915,8800
Greatest Common Factor of Numerators i.e. GCF of 6915,8800 is 5 .
LCM of Denominators means LCM of 940,1072 as per the given fractions.
LCM of 940,1072 is 251920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6915,8800
5 | 6915, 8800 |
1383, 1760 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 6915
List of positive integer factors of 6915 that divides 6915 without a remainder.
1,3,5,15,461,1383,2305,6915
Factors of 8800
List of positive integer factors of 8800 that divides 8800 without a remainder.
1,2,4,5,8,10,11,16,20,22,25,32,40,44,50,55,80,88,100,110,160,176,200,220,275,352,400,440,550,800,880,1100,1760,2200,4400,8800
Greatest Common Factor
We found the factors 6915,8800 . The biggest common factor number is the GCF number.
So the greatest common factor 6915,8800 is 5.
Lets's calculate LCM of 940,1072
2 | 940, 1072 |
2 | 470, 536 |
235, 268 |
∴ So the LCM of the given numbers is 2 x 2 x 235 x 268 = 251920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/251920
Therefore, the GCF of Fractions 6915/940,8800/1072 is 5/251920
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 940,1072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,1072) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(940,1072) x common factors =4 x 1 = 4
LCM(940,1072) = ( 940 × 1072 ) / 4
LCM(940,1072) = 1007680 / 4
LCM(940,1072) = 251920
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 6915/940, 8800/1072?
Answer: GCF of Numerators as per given numbers 6915/940, 8800/1072 is
GCF of Numerators i.e. for 6915,8800 is 5
LCM of denominators i.e. for 940,1072 is 251920.
Thus, GCF of Fractions is 5/251920.Finally, GCF of Fractions for 6915/940, 8800/1072 is 5/251920.