Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 877/411,1440/392
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 877,1440
Greatest Common Factor of Numerators i.e. GCF of 877,1440 is 1 .
LCM of Denominators means LCM of 411,392 as per the given fractions.
LCM of 411,392 is 161112 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 877,1440
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Factors of 1440
List of positive integer factors of 1440 that divides 1440 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440
Greatest Common Factor
We found the factors 877,1440 . The biggest common factor number is the GCF number.
So the greatest common factor 877,1440 is 1.
Lets's calculate LCM of 411,392
Given numbers has no common factors except 1. So, there LCM is their product i.e 161112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161112
Therefore, the GCF of Fractions 877/411,1440/392 is 1/161112
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 411,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(411,392) x common factors =1 x 1 = 1
LCM(411,392) = ( 411 × 392 ) / 1
LCM(411,392) = 161112 / 1
LCM(411,392) = 161112
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 877/411, 1440/392?
Answer: GCF of Numerators as per given numbers 877/411, 1440/392 is
GCF of Numerators i.e. for 877,1440 is 1
LCM of denominators i.e. for 411,392 is 161112.
Thus, GCF of Fractions is 1/161112.Finally, GCF of Fractions for 877/411, 1440/392 is 1/161112.