Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 211/777,7322/229
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 211,7322
Greatest Common Factor of Numerators i.e. GCF of 211,7322 is 1 .
LCM of Denominators means LCM of 777,229 as per the given fractions.
LCM of 777,229 is 177933 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 211,7322
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 7322
List of positive integer factors of 7322 that divides 7322 without a remainder.
1,2,7,14,523,1046,3661,7322
Greatest Common Factor
We found the factors 211,7322 . The biggest common factor number is the GCF number.
So the greatest common factor 211,7322 is 1.
Lets's calculate LCM of 777,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 177933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177933
Therefore, the GCF of Fractions 211/777,7322/229 is 1/177933
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 777,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,229) x common factors =1 x 1 = 1
LCM(777,229) = ( 777 × 229 ) / 1
LCM(777,229) = 177933 / 1
LCM(777,229) = 177933
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 211/777, 7322/229?
Answer: GCF of Numerators as per given numbers 211/777, 7322/229 is
GCF of Numerators i.e. for 211,7322 is 1
LCM of denominators i.e. for 777,229 is 177933.
Thus, GCF of Fractions is 1/177933.Finally, GCF of Fractions for 211/777, 7322/229 is 1/177933.