Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6743/641,4882/102
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 6743,4882
Greatest Common Factor of Numerators i.e. GCF of 6743,4882 is 1 .
LCM of Denominators means LCM of 641,102 as per the given fractions.
LCM of 641,102 is 65382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6743,4882
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6743
List of positive integer factors of 6743 that divides 6743 without a remainder.
1,11,613,6743
Factors of 4882
List of positive integer factors of 4882 that divides 4882 without a remainder.
1,2,2441,4882
Greatest Common Factor
We found the factors 6743,4882 . The biggest common factor number is the GCF number.
So the greatest common factor 6743,4882 is 1.
Lets's calculate LCM of 641,102
Given numbers has no common factors except 1. So, there LCM is their product i.e 65382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65382
Therefore, the GCF of Fractions 6743/641,4882/102 is 1/65382
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 641,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,102) x common factors =1 x 1 = 1
LCM(641,102) = ( 641 × 102 ) / 1
LCM(641,102) = 65382 / 1
LCM(641,102) = 65382
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 6743/641, 4882/102?
Answer: GCF of Numerators as per given numbers 6743/641, 4882/102 is
GCF of Numerators i.e. for 6743,4882 is 1
LCM of denominators i.e. for 641,102 is 65382.
Thus, GCF of Fractions is 1/65382.Finally, GCF of Fractions for 6743/641, 4882/102 is 1/65382.