Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7255/794,1351/213
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 7255,1351
Greatest Common Factor of Numerators i.e. GCF of 7255,1351 is 1 .
LCM of Denominators means LCM of 794,213 as per the given fractions.
LCM of 794,213 is 169122 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7255,1351
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7255
List of positive integer factors of 7255 that divides 7255 without a remainder.
1,5,1451,7255
Factors of 1351
List of positive integer factors of 1351 that divides 1351 without a remainder.
1,7,193,1351
Greatest Common Factor
We found the factors 7255,1351 . The biggest common factor number is the GCF number.
So the greatest common factor 7255,1351 is 1.
Lets's calculate LCM of 794,213
Given numbers has no common factors except 1. So, there LCM is their product i.e 169122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169122
Therefore, the GCF of Fractions 7255/794,1351/213 is 1/169122
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 794,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(794,213) x common factors =1 x 1 = 1
LCM(794,213) = ( 794 × 213 ) / 1
LCM(794,213) = 169122 / 1
LCM(794,213) = 169122
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 7255/794, 1351/213?
Answer: GCF of Numerators as per given numbers 7255/794, 1351/213 is
GCF of Numerators i.e. for 7255,1351 is 1
LCM of denominators i.e. for 794,213 is 169122.
Thus, GCF of Fractions is 1/169122.Finally, GCF of Fractions for 7255/794, 1351/213 is 1/169122.