Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/776,61/727,945/749
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 94,61,945
Greatest Common Factor of Numerators i.e. GCF of 94,61,945 is 1 .
LCM of Denominators means LCM of 776,727,749 as per the given fractions.
LCM of 776,727,749 is 422549848 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,61,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 94,61,945 . The biggest common factor number is the GCF number.
So the greatest common factor 94,61,945 is 1.
Lets's calculate LCM of 776,727,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 422549848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/422549848
Therefore, the GCF of Fractions 94/776,61/727,945/749 is 1/422549848
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 776,727,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,727,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(776,727,749) x common factors =1 x 1 = 1
LCM(776,727,749) = ( 776 × 727 × 749 ) / 1
LCM(776,727,749) = 422549848 / 1
LCM(776,727,749) = 422549848
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 94/776, 61/727, 945/749?
Answer: GCF of Numerators as per given numbers 94/776, 61/727, 945/749 is
GCF of Numerators i.e. for 94,61,945 is 1
LCM of denominators i.e. for 776,727,749 is 422549848.
Thus, GCF of Fractions is 1/422549848.Finally, GCF of Fractions for 94/776, 61/727, 945/749 is 1/422549848.