Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6258/934,9733/921
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 6258,9733
Greatest Common Factor of Numerators i.e. GCF of 6258,9733 is 1 .
LCM of Denominators means LCM of 934,921 as per the given fractions.
LCM of 934,921 is 860214 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6258,9733
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6258
List of positive integer factors of 6258 that divides 6258 without a remainder.
1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258
Factors of 9733
List of positive integer factors of 9733 that divides 9733 without a remainder.
1,9733
Greatest Common Factor
We found the factors 6258,9733 . The biggest common factor number is the GCF number.
So the greatest common factor 6258,9733 is 1.
Lets's calculate LCM of 934,921
Given numbers has no common factors except 1. So, there LCM is their product i.e 860214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/860214
Therefore, the GCF of Fractions 6258/934,9733/921 is 1/860214
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 934,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(934,921) x common factors =1 x 1 = 1
LCM(934,921) = ( 934 × 921 ) / 1
LCM(934,921) = 860214 / 1
LCM(934,921) = 860214
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 6258/934, 9733/921?
Answer: GCF of Numerators as per given numbers 6258/934, 9733/921 is
GCF of Numerators i.e. for 6258,9733 is 1
LCM of denominators i.e. for 934,921 is 860214.
Thus, GCF of Fractions is 1/860214.Finally, GCF of Fractions for 6258/934, 9733/921 is 1/860214.