Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 740/874,3029/281
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 740,3029
Greatest Common Factor of Numerators i.e. GCF of 740,3029 is 1 .
LCM of Denominators means LCM of 874,281 as per the given fractions.
LCM of 874,281 is 245594 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 740,3029
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 3029
List of positive integer factors of 3029 that divides 3029 without a remainder.
1,13,233,3029
Greatest Common Factor
We found the factors 740,3029 . The biggest common factor number is the GCF number.
So the greatest common factor 740,3029 is 1.
Lets's calculate LCM of 874,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 245594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245594
Therefore, the GCF of Fractions 740/874,3029/281 is 1/245594
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 874,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,281) x common factors =1 x 1 = 1
LCM(874,281) = ( 874 × 281 ) / 1
LCM(874,281) = 245594 / 1
LCM(874,281) = 245594
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 740/874, 3029/281?
Answer: GCF of Numerators as per given numbers 740/874, 3029/281 is
GCF of Numerators i.e. for 740,3029 is 1
LCM of denominators i.e. for 874,281 is 245594.
Thus, GCF of Fractions is 1/245594.Finally, GCF of Fractions for 740/874, 3029/281 is 1/245594.