Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1367/950,8733/520
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 1367,8733
Greatest Common Factor of Numerators i.e. GCF of 1367,8733 is 1 .
LCM of Denominators means LCM of 950,520 as per the given fractions.
LCM of 950,520 is 49400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1367,8733
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1367
List of positive integer factors of 1367 that divides 1367 without a remainder.
1,1367
Factors of 8733
List of positive integer factors of 8733 that divides 8733 without a remainder.
1,3,41,71,123,213,2911,8733
Greatest Common Factor
We found the factors 1367,8733 . The biggest common factor number is the GCF number.
So the greatest common factor 1367,8733 is 1.
Lets's calculate LCM of 950,520
2 | 950, 520 |
5 | 475, 260 |
95, 52 |
∴ So the LCM of the given numbers is 2 x 5 x 95 x 52 = 49400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49400
Therefore, the GCF of Fractions 1367/950,8733/520 is 1/49400
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 950,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,520) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(950,520) x common factors =10 x 1 = 10
LCM(950,520) = ( 950 × 520 ) / 10
LCM(950,520) = 494000 / 10
LCM(950,520) = 49400
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 1367/950, 8733/520?
Answer: GCF of Numerators as per given numbers 1367/950, 8733/520 is
GCF of Numerators i.e. for 1367,8733 is 1
LCM of denominators i.e. for 950,520 is 49400.
Thus, GCF of Fractions is 1/49400.Finally, GCF of Fractions for 1367/950, 8733/520 is 1/49400.