Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9129/846,4367/295
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 9129,4367
Greatest Common Factor of Numerators i.e. GCF of 9129,4367 is 1 .
LCM of Denominators means LCM of 846,295 as per the given fractions.
LCM of 846,295 is 249570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9129,4367
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9129
List of positive integer factors of 9129 that divides 9129 without a remainder.
1,3,17,51,179,537,3043,9129
Factors of 4367
List of positive integer factors of 4367 that divides 4367 without a remainder.
1,11,397,4367
Greatest Common Factor
We found the factors 9129,4367 . The biggest common factor number is the GCF number.
So the greatest common factor 9129,4367 is 1.
Lets's calculate LCM of 846,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 249570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249570
Therefore, the GCF of Fractions 9129/846,4367/295 is 1/249570
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 846,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(846,295) x common factors =1 x 1 = 1
LCM(846,295) = ( 846 × 295 ) / 1
LCM(846,295) = 249570 / 1
LCM(846,295) = 249570
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 9129/846, 4367/295?
Answer: GCF of Numerators as per given numbers 9129/846, 4367/295 is
GCF of Numerators i.e. for 9129,4367 is 1
LCM of denominators i.e. for 846,295 is 249570.
Thus, GCF of Fractions is 1/249570.Finally, GCF of Fractions for 9129/846, 4367/295 is 1/249570.