Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 737/691,298/890
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 737,298
Greatest Common Factor of Numerators i.e. GCF of 737,298 is 1 .
LCM of Denominators means LCM of 691,890 as per the given fractions.
LCM of 691,890 is 614990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 737,298
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Greatest Common Factor
We found the factors 737,298 . The biggest common factor number is the GCF number.
So the greatest common factor 737,298 is 1.
Lets's calculate LCM of 691,890
Given numbers has no common factors except 1. So, there LCM is their product i.e 614990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/614990
Therefore, the GCF of Fractions 737/691,298/890 is 1/614990
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 691,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,890) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,890) x common factors =1 x 1 = 1
LCM(691,890) = ( 691 × 890 ) / 1
LCM(691,890) = 614990 / 1
LCM(691,890) = 614990
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 737/691, 298/890?
Answer: GCF of Numerators as per given numbers 737/691, 298/890 is
GCF of Numerators i.e. for 737,298 is 1
LCM of denominators i.e. for 691,890 is 614990.
Thus, GCF of Fractions is 1/614990.Finally, GCF of Fractions for 737/691, 298/890 is 1/614990.