Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4363/477,7691/1376
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 4363,7691
Greatest Common Factor of Numerators i.e. GCF of 4363,7691 is 1 .
LCM of Denominators means LCM of 477,1376 as per the given fractions.
LCM of 477,1376 is 656352 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4363,7691
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4363
List of positive integer factors of 4363 that divides 4363 without a remainder.
1,4363
Factors of 7691
List of positive integer factors of 7691 that divides 7691 without a remainder.
1,7691
Greatest Common Factor
We found the factors 4363,7691 . The biggest common factor number is the GCF number.
So the greatest common factor 4363,7691 is 1.
Lets's calculate LCM of 477,1376
Given numbers has no common factors except 1. So, there LCM is their product i.e 656352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/656352
Therefore, the GCF of Fractions 4363/477,7691/1376 is 1/656352
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 477,1376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,1376) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,1376) x common factors =1 x 1 = 1
LCM(477,1376) = ( 477 × 1376 ) / 1
LCM(477,1376) = 656352 / 1
LCM(477,1376) = 656352
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 4363/477, 7691/1376?
Answer: GCF of Numerators as per given numbers 4363/477, 7691/1376 is
GCF of Numerators i.e. for 4363,7691 is 1
LCM of denominators i.e. for 477,1376 is 656352.
Thus, GCF of Fractions is 1/656352.Finally, GCF of Fractions for 4363/477, 7691/1376 is 1/656352.