Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7658/802,7953/417
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 7658,7953
Greatest Common Factor of Numerators i.e. GCF of 7658,7953 is 1 .
LCM of Denominators means LCM of 802,417 as per the given fractions.
LCM of 802,417 is 334434 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7658,7953
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7658
List of positive integer factors of 7658 that divides 7658 without a remainder.
1,2,7,14,547,1094,3829,7658
Factors of 7953
List of positive integer factors of 7953 that divides 7953 without a remainder.
1,3,11,33,241,723,2651,7953
Greatest Common Factor
We found the factors 7658,7953 . The biggest common factor number is the GCF number.
So the greatest common factor 7658,7953 is 1.
Lets's calculate LCM of 802,417
Given numbers has no common factors except 1. So, there LCM is their product i.e 334434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/334434
Therefore, the GCF of Fractions 7658/802,7953/417 is 1/334434
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 802,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,417) x common factors =1 x 1 = 1
LCM(802,417) = ( 802 × 417 ) / 1
LCM(802,417) = 334434 / 1
LCM(802,417) = 334434
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 7658/802, 7953/417?
Answer: GCF of Numerators as per given numbers 7658/802, 7953/417 is
GCF of Numerators i.e. for 7658,7953 is 1
LCM of denominators i.e. for 802,417 is 334434.
Thus, GCF of Fractions is 1/334434.Finally, GCF of Fractions for 7658/802, 7953/417 is 1/334434.