Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1249/884,6171/841
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 1249,6171
Greatest Common Factor of Numerators i.e. GCF of 1249,6171 is 1 .
LCM of Denominators means LCM of 884,841 as per the given fractions.
LCM of 884,841 is 743444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1249,6171
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1249
List of positive integer factors of 1249 that divides 1249 without a remainder.
1,1249
Factors of 6171
List of positive integer factors of 6171 that divides 6171 without a remainder.
1,3,11,17,33,51,121,187,363,561,2057,6171
Greatest Common Factor
We found the factors 1249,6171 . The biggest common factor number is the GCF number.
So the greatest common factor 1249,6171 is 1.
Lets's calculate LCM of 884,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 743444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/743444
Therefore, the GCF of Fractions 1249/884,6171/841 is 1/743444
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 884,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(884,841) x common factors =1 x 1 = 1
LCM(884,841) = ( 884 × 841 ) / 1
LCM(884,841) = 743444 / 1
LCM(884,841) = 743444
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 1249/884, 6171/841?
Answer: GCF of Numerators as per given numbers 1249/884, 6171/841 is
GCF of Numerators i.e. for 1249,6171 is 1
LCM of denominators i.e. for 884,841 is 743444.
Thus, GCF of Fractions is 1/743444.Finally, GCF of Fractions for 1249/884, 6171/841 is 1/743444.