Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 749/734,2090/1941
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 749,2090
Greatest Common Factor of Numerators i.e. GCF of 749,2090 is 1 .
LCM of Denominators means LCM of 734,1941 as per the given fractions.
LCM of 734,1941 is 1424694 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 749,2090
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 2090
List of positive integer factors of 2090 that divides 2090 without a remainder.
1,2,5,10,11,19,22,38,55,95,110,190,209,418,1045,2090
Greatest Common Factor
We found the factors 749,2090 . The biggest common factor number is the GCF number.
So the greatest common factor 749,2090 is 1.
Lets's calculate LCM of 734,1941
Given numbers has no common factors except 1. So, there LCM is their product i.e 1424694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1424694
Therefore, the GCF of Fractions 749/734,2090/1941 is 1/1424694
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 734,1941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,1941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,1941) x common factors =1 x 1 = 1
LCM(734,1941) = ( 734 × 1941 ) / 1
LCM(734,1941) = 1424694 / 1
LCM(734,1941) = 1424694
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 749/734, 2090/1941?
Answer: GCF of Numerators as per given numbers 749/734, 2090/1941 is
GCF of Numerators i.e. for 749,2090 is 1
LCM of denominators i.e. for 734,1941 is 1424694.
Thus, GCF of Fractions is 1/1424694.Finally, GCF of Fractions for 749/734, 2090/1941 is 1/1424694.