Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5235/284,1792/7773
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 5235,1792
Greatest Common Factor of Numerators i.e. GCF of 5235,1792 is 1 .
LCM of Denominators means LCM of 284,7773 as per the given fractions.
LCM of 284,7773 is 2207532 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5235,1792
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5235
List of positive integer factors of 5235 that divides 5235 without a remainder.
1,3,5,15,349,1047,1745,5235
Factors of 1792
List of positive integer factors of 1792 that divides 1792 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,896,1792
Greatest Common Factor
We found the factors 5235,1792 . The biggest common factor number is the GCF number.
So the greatest common factor 5235,1792 is 1.
Lets's calculate LCM of 284,7773
Given numbers has no common factors except 1. So, there LCM is their product i.e 2207532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2207532
Therefore, the GCF of Fractions 5235/284,1792/7773 is 1/2207532
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 284,7773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,7773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,7773) x common factors =1 x 1 = 1
LCM(284,7773) = ( 284 × 7773 ) / 1
LCM(284,7773) = 2207532 / 1
LCM(284,7773) = 2207532
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 5235/284, 1792/7773?
Answer: GCF of Numerators as per given numbers 5235/284, 1792/7773 is
GCF of Numerators i.e. for 5235,1792 is 1
LCM of denominators i.e. for 284,7773 is 2207532.
Thus, GCF of Fractions is 1/2207532.Finally, GCF of Fractions for 5235/284, 1792/7773 is 1/2207532.