Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 611/41,608/17,753/94
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 611,608,753
Greatest Common Factor of Numerators i.e. GCF of 611,608,753 is 1 .
LCM of Denominators means LCM of 41,17,94 as per the given fractions.
LCM of 41,17,94 is 65518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 611,608,753
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Greatest Common Factor
We found the factors 611,608,753 . The biggest common factor number is the GCF number.
So the greatest common factor 611,608,753 is 1.
Lets's calculate LCM of 41,17,94
Given numbers has no common factors except 1. So, there LCM is their product i.e 65518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65518
Therefore, the GCF of Fractions 611/41,608/17,753/94 is 1/65518
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 41,17,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,17,94) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,17,94) x common factors =1 x 1 = 1
LCM(41,17,94) = ( 41 × 17 × 94 ) / 1
LCM(41,17,94) = 65518 / 1
LCM(41,17,94) = 65518
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 611/41, 608/17, 753/94?
Answer: GCF of Numerators as per given numbers 611/41, 608/17, 753/94 is
GCF of Numerators i.e. for 611,608,753 is 1
LCM of denominators i.e. for 41,17,94 is 65518.
Thus, GCF of Fractions is 1/65518.Finally, GCF of Fractions for 611/41, 608/17, 753/94 is 1/65518.