Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5683/781,7255/6463
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 5683,7255
Greatest Common Factor of Numerators i.e. GCF of 5683,7255 is 1 .
LCM of Denominators means LCM of 781,6463 as per the given fractions.
LCM of 781,6463 is 5047603 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5683,7255
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5683
List of positive integer factors of 5683 that divides 5683 without a remainder.
1,5683
Factors of 7255
List of positive integer factors of 7255 that divides 7255 without a remainder.
1,5,1451,7255
Greatest Common Factor
We found the factors 5683,7255 . The biggest common factor number is the GCF number.
So the greatest common factor 5683,7255 is 1.
Lets's calculate LCM of 781,6463
Given numbers has no common factors except 1. So, there LCM is their product i.e 5047603
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5047603
Therefore, the GCF of Fractions 5683/781,7255/6463 is 1/5047603
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 781,6463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,6463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,6463) x common factors =1 x 1 = 1
LCM(781,6463) = ( 781 × 6463 ) / 1
LCM(781,6463) = 5047603 / 1
LCM(781,6463) = 5047603
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 5683/781, 7255/6463?
Answer: GCF of Numerators as per given numbers 5683/781, 7255/6463 is
GCF of Numerators i.e. for 5683,7255 is 1
LCM of denominators i.e. for 781,6463 is 5047603.
Thus, GCF of Fractions is 1/5047603.Finally, GCF of Fractions for 5683/781, 7255/6463 is 1/5047603.