Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5392/68,5411/127
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 5392,5411
Greatest Common Factor of Numerators i.e. GCF of 5392,5411 is 1 .
LCM of Denominators means LCM of 68,127 as per the given fractions.
LCM of 68,127 is 8636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5392,5411
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5392
List of positive integer factors of 5392 that divides 5392 without a remainder.
1,2,4,8,16,337,674,1348,2696,5392
Factors of 5411
List of positive integer factors of 5411 that divides 5411 without a remainder.
1,7,773,5411
Greatest Common Factor
We found the factors 5392,5411 . The biggest common factor number is the GCF number.
So the greatest common factor 5392,5411 is 1.
Lets's calculate LCM of 68,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 8636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8636
Therefore, the GCF of Fractions 5392/68,5411/127 is 1/8636
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 68,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,127) x common factors =1 x 1 = 1
LCM(68,127) = ( 68 × 127 ) / 1
LCM(68,127) = 8636 / 1
LCM(68,127) = 8636
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 5392/68, 5411/127?
Answer: GCF of Numerators as per given numbers 5392/68, 5411/127 is
GCF of Numerators i.e. for 5392,5411 is 1
LCM of denominators i.e. for 68,127 is 8636.
Thus, GCF of Fractions is 1/8636.Finally, GCF of Fractions for 5392/68, 5411/127 is 1/8636.