Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 945/714,1098/287
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 945,1098
Greatest Common Factor of Numerators i.e. GCF of 945,1098 is 9 .
LCM of Denominators means LCM of 714,287 as per the given fractions.
LCM of 714,287 is 29274 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 945,1098
3 | 945, 1098 |
3 | 315, 366 |
105, 122 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Factors of 1098
List of positive integer factors of 1098 that divides 1098 without a remainder.
1,2,3,6,9,18,61,122,183,366,549,1098
Greatest Common Factor
We found the factors 945,1098 . The biggest common factor number is the GCF number.
So the greatest common factor 945,1098 is 9.
Lets's calculate LCM of 714,287
7 | 714, 287 |
102, 41 |
∴ So the LCM of the given numbers is 7 x 102 x 41 = 29274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/29274
Therefore, the GCF of Fractions 945/714,1098/287 is 9/29274
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 714,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,287) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(714,287) x common factors =7 x 1 = 7
LCM(714,287) = ( 714 × 287 ) / 7
LCM(714,287) = 204918 / 7
LCM(714,287) = 29274
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 945/714, 1098/287?
Answer: GCF of Numerators as per given numbers 945/714, 1098/287 is
GCF of Numerators i.e. for 945,1098 is 9
LCM of denominators i.e. for 714,287 is 29274.
Thus, GCF of Fractions is 9/29274.Finally, GCF of Fractions for 945/714, 1098/287 is 9/29274.