Use our free GCF of Fractions Calculator tool to compute the GCF of 103/213, 734/611 i.e 1/130143 easily. The following is the detailed procedure to determine the greatest common factor of fractions 103/213, 734/611.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 103/213,734/611
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 103/213,734/611, numerators are 103,734
Denominators are 213,611
The GCF of 103,734 is 1 .
LCM of 213,611 is 130143.
The greatest common factor of 103/213,734/611 = [GCF of 103,734]/[LCM of 213,611]= 1/130143
Therefore, the GCF of 103/213,734/611 is 1/130143.
To find the highest common factor of 103,734, we have to find the factors of both numbers and list the highest common factor.
The factors of 103 are 1, 103
The factors of 734 are 1, 2, 367, 734
The HCF of 103,734 is 1.
Lets's calculate GCF of 103,734
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 103
:1,103
Now, list down the factors of 734
:1,2,367,734
Greatest Common Factor
We found the factors 103,734 . The biggest common factor number is the GCF number.
So the greatest common factor 103,734 is 1.
Lets's calculate LCM of 213,611
Given numbers has no common factors except 1. So, there LCM is their product i.e 130143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130143
Therefore, the GCF of Fractions 103/213,734/611 is 1/130143
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 213,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,611) x common factors =1 x 1 = 1
LCM(213,611) = ( 213 × 611 ) / 1
LCM(213,611) = 130143 / 1
LCM(213,611) = 130143
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 103,734?
The HCF of 103,734 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 103/213, 734/611?
Answer: GCF of Numerators as per given numbers 103/213, 734/611 is
GCF of Numerators i.e. for 103,734 is 1
LCM of denominators i.e. for 213,611 is 130143.
Thus, GCF of Fractions is 1/130143.Finally, GCF of Fractions for 103/213, 734/611 is 1/130143.