Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2243/642,7098/331
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 2243,7098
Greatest Common Factor of Numerators i.e. GCF of 2243,7098 is 1 .
LCM of Denominators means LCM of 642,331 as per the given fractions.
LCM of 642,331 is 212502 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2243,7098
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2243
List of positive integer factors of 2243 that divides 2243 without a remainder.
1,2243
Factors of 7098
List of positive integer factors of 7098 that divides 7098 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098
Greatest Common Factor
We found the factors 2243,7098 . The biggest common factor number is the GCF number.
So the greatest common factor 2243,7098 is 1.
Lets's calculate LCM of 642,331
Given numbers has no common factors except 1. So, there LCM is their product i.e 212502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212502
Therefore, the GCF of Fractions 2243/642,7098/331 is 1/212502
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 642,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(642,331) x common factors =1 x 1 = 1
LCM(642,331) = ( 642 × 331 ) / 1
LCM(642,331) = 212502 / 1
LCM(642,331) = 212502
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 2243/642, 7098/331?
Answer: GCF of Numerators as per given numbers 2243/642, 7098/331 is
GCF of Numerators i.e. for 2243,7098 is 1
LCM of denominators i.e. for 642,331 is 212502.
Thus, GCF of Fractions is 1/212502.Finally, GCF of Fractions for 2243/642, 7098/331 is 1/212502.