Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7056/575,6375/975
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 7056,6375
Greatest Common Factor of Numerators i.e. GCF of 7056,6375 is 3 .
LCM of Denominators means LCM of 575,975 as per the given fractions.
LCM of 575,975 is 22425 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7056,6375
3 | 7056, 6375 |
2352, 2125 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7056
List of positive integer factors of 7056 that divides 7056 without a remainder.
1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,49,56,63,72,84,98,112,126,144,147,168,196,252,294,336,392,441,504,588,784,882,1008,1176,1764,2352,3528,7056
Factors of 6375
List of positive integer factors of 6375 that divides 6375 without a remainder.
1,3,5,15,17,25,51,75,85,125,255,375,425,1275,2125,6375
Greatest Common Factor
We found the factors 7056,6375 . The biggest common factor number is the GCF number.
So the greatest common factor 7056,6375 is 3.
Lets's calculate LCM of 575,975
5 | 575, 975 |
5 | 115, 195 |
23, 39 |
∴ So the LCM of the given numbers is 5 x 5 x 23 x 39 = 22425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22425
Therefore, the GCF of Fractions 7056/575,6375/975 is 3/22425
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 575,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,975) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(575,975) x common factors =25 x 1 = 25
LCM(575,975) = ( 575 × 975 ) / 25
LCM(575,975) = 560625 / 25
LCM(575,975) = 22425
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 7056/575, 6375/975?
Answer: GCF of Numerators as per given numbers 7056/575, 6375/975 is
GCF of Numerators i.e. for 7056,6375 is 3
LCM of denominators i.e. for 575,975 is 22425.
Thus, GCF of Fractions is 3/22425.Finally, GCF of Fractions for 7056/575, 6375/975 is 3/22425.