Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4893/92,2644/265
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 4893,2644
Greatest Common Factor of Numerators i.e. GCF of 4893,2644 is 1 .
LCM of Denominators means LCM of 92,265 as per the given fractions.
LCM of 92,265 is 24380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4893,2644
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4893
List of positive integer factors of 4893 that divides 4893 without a remainder.
1,3,7,21,233,699,1631,4893
Factors of 2644
List of positive integer factors of 2644 that divides 2644 without a remainder.
1,2,4,661,1322,2644
Greatest Common Factor
We found the factors 4893,2644 . The biggest common factor number is the GCF number.
So the greatest common factor 4893,2644 is 1.
Lets's calculate LCM of 92,265
Given numbers has no common factors except 1. So, there LCM is their product i.e 24380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24380
Therefore, the GCF of Fractions 4893/92,2644/265 is 1/24380
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 92,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,265) x common factors =1 x 1 = 1
LCM(92,265) = ( 92 × 265 ) / 1
LCM(92,265) = 24380 / 1
LCM(92,265) = 24380
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 4893/92, 2644/265?
Answer: GCF of Numerators as per given numbers 4893/92, 2644/265 is
GCF of Numerators i.e. for 4893,2644 is 1
LCM of denominators i.e. for 92,265 is 24380.
Thus, GCF of Fractions is 1/24380.Finally, GCF of Fractions for 4893/92, 2644/265 is 1/24380.