Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8640/95,2743/770
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 8640,2743
Greatest Common Factor of Numerators i.e. GCF of 8640,2743 is 1 .
LCM of Denominators means LCM of 95,770 as per the given fractions.
LCM of 95,770 is 14630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8640,2743
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8640
List of positive integer factors of 8640 that divides 8640 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,64,72,80,90,96,108,120,135,144,160,180,192,216,240,270,288,320,360,432,480,540,576,720,864,960,1080,1440,1728,2160,2880,4320,8640
Factors of 2743
List of positive integer factors of 2743 that divides 2743 without a remainder.
1,13,211,2743
Greatest Common Factor
We found the factors 8640,2743 . The biggest common factor number is the GCF number.
So the greatest common factor 8640,2743 is 1.
Lets's calculate LCM of 95,770
5 | 95, 770 |
19, 154 |
∴ So the LCM of the given numbers is 5 x 19 x 154 = 14630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14630
Therefore, the GCF of Fractions 8640/95,2743/770 is 1/14630
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 95,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,770) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(95,770) x common factors =5 x 1 = 5
LCM(95,770) = ( 95 × 770 ) / 5
LCM(95,770) = 73150 / 5
LCM(95,770) = 14630
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 8640/95, 2743/770?
Answer: GCF of Numerators as per given numbers 8640/95, 2743/770 is
GCF of Numerators i.e. for 8640,2743 is 1
LCM of denominators i.e. for 95,770 is 14630.
Thus, GCF of Fractions is 1/14630.Finally, GCF of Fractions for 8640/95, 2743/770 is 1/14630.