Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 560/411,7144/2736
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 560,7144
Greatest Common Factor of Numerators i.e. GCF of 560,7144 is 8 .
LCM of Denominators means LCM of 411,2736 as per the given fractions.
LCM of 411,2736 is 374832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 560,7144
2 | 560, 7144 |
2 | 280, 3572 |
2 | 140, 1786 |
70, 893 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 7144
List of positive integer factors of 7144 that divides 7144 without a remainder.
1,2,4,8,19,38,47,76,94,152,188,376,893,1786,3572,7144
Greatest Common Factor
We found the factors 560,7144 . The biggest common factor number is the GCF number.
So the greatest common factor 560,7144 is 8.
Lets's calculate LCM of 411,2736
3 | 411, 2736 |
137, 912 |
∴ So the LCM of the given numbers is 3 x 137 x 912 = 374832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/374832
Therefore, the GCF of Fractions 560/411,7144/2736 is 8/374832
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 411,2736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,2736) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(411,2736) x common factors =3 x 1 = 3
LCM(411,2736) = ( 411 × 2736 ) / 3
LCM(411,2736) = 1124496 / 3
LCM(411,2736) = 374832
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 560/411, 7144/2736?
Answer: GCF of Numerators as per given numbers 560/411, 7144/2736 is
GCF of Numerators i.e. for 560,7144 is 8
LCM of denominators i.e. for 411,2736 is 374832.
Thus, GCF of Fractions is 8/374832.Finally, GCF of Fractions for 560/411, 7144/2736 is 8/374832.