Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/287,275/640
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 63,275
Greatest Common Factor of Numerators i.e. GCF of 63,275 is 1 .
LCM of Denominators means LCM of 287,640 as per the given fractions.
LCM of 287,640 is 183680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Greatest Common Factor
We found the factors 63,275 . The biggest common factor number is the GCF number.
So the greatest common factor 63,275 is 1.
Lets's calculate LCM of 287,640
Given numbers has no common factors except 1. So, there LCM is their product i.e 183680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183680
Therefore, the GCF of Fractions 63/287,275/640 is 1/183680
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 287,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,640) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,640) x common factors =1 x 1 = 1
LCM(287,640) = ( 287 × 640 ) / 1
LCM(287,640) = 183680 / 1
LCM(287,640) = 183680
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 63/287, 275/640?
Answer: GCF of Numerators as per given numbers 63/287, 275/640 is
GCF of Numerators i.e. for 63,275 is 1
LCM of denominators i.e. for 287,640 is 183680.
Thus, GCF of Fractions is 1/183680.Finally, GCF of Fractions for 63/287, 275/640 is 1/183680.