Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7766/78,7035/853
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 7766,7035
Greatest Common Factor of Numerators i.e. GCF of 7766,7035 is 1 .
LCM of Denominators means LCM of 78,853 as per the given fractions.
LCM of 78,853 is 66534 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7766,7035
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7766
List of positive integer factors of 7766 that divides 7766 without a remainder.
1,2,11,22,353,706,3883,7766
Factors of 7035
List of positive integer factors of 7035 that divides 7035 without a remainder.
1,3,5,7,15,21,35,67,105,201,335,469,1005,1407,2345,7035
Greatest Common Factor
We found the factors 7766,7035 . The biggest common factor number is the GCF number.
So the greatest common factor 7766,7035 is 1.
Lets's calculate LCM of 78,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 66534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66534
Therefore, the GCF of Fractions 7766/78,7035/853 is 1/66534
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 78,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,853) x common factors =1 x 1 = 1
LCM(78,853) = ( 78 × 853 ) / 1
LCM(78,853) = 66534 / 1
LCM(78,853) = 66534
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 7766/78, 7035/853?
Answer: GCF of Numerators as per given numbers 7766/78, 7035/853 is
GCF of Numerators i.e. for 7766,7035 is 1
LCM of denominators i.e. for 78,853 is 66534.
Thus, GCF of Fractions is 1/66534.Finally, GCF of Fractions for 7766/78, 7035/853 is 1/66534.