Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6299/867,1920/935
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 6299,1920
Greatest Common Factor of Numerators i.e. GCF of 6299,1920 is 1 .
LCM of Denominators means LCM of 867,935 as per the given fractions.
LCM of 867,935 is 47685 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6299,1920
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6299
List of positive integer factors of 6299 that divides 6299 without a remainder.
1,6299
Factors of 1920
List of positive integer factors of 1920 that divides 1920 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,320,384,480,640,960,1920
Greatest Common Factor
We found the factors 6299,1920 . The biggest common factor number is the GCF number.
So the greatest common factor 6299,1920 is 1.
Lets's calculate LCM of 867,935
17 | 867, 935 |
51, 55 |
∴ So the LCM of the given numbers is 17 x 51 x 55 = 47685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47685
Therefore, the GCF of Fractions 6299/867,1920/935 is 1/47685
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 867,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,935) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(867,935) x common factors =17 x 1 = 17
LCM(867,935) = ( 867 × 935 ) / 17
LCM(867,935) = 810645 / 17
LCM(867,935) = 47685
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 6299/867, 1920/935?
Answer: GCF of Numerators as per given numbers 6299/867, 1920/935 is
GCF of Numerators i.e. for 6299,1920 is 1
LCM of denominators i.e. for 867,935 is 47685.
Thus, GCF of Fractions is 1/47685.Finally, GCF of Fractions for 6299/867, 1920/935 is 1/47685.