Use our free GCF of Fractions Calculator tool to compute the GCF of 790/516, 643/109 i.e 1/56244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/516, 643/109.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 790/516,643/109
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 790/516,643/109, numerators are 790,643
Denominators are 516,109
The GCF of 790,643 is 1 .
LCM of 516,109 is 56244.
The greatest common factor of 790/516,643/109 = [GCF of 790,643]/[LCM of 516,109]= 1/56244
Therefore, the GCF of 790/516,643/109 is 1/56244.
To find the highest common factor of 790,643, we have to find the factors of both numbers and list the highest common factor.
The factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790
The factors of 643 are 1, 643
The HCF of 790,643 is 1.
Lets's calculate GCF of 790,643
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 790
:1,2,5,10,79,158,395,790
Now, list down the factors of 643
:1,643
Greatest Common Factor
We found the factors 790,643 . The biggest common factor number is the GCF number.
So the greatest common factor 790,643 is 1.
Lets's calculate LCM of 516,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 56244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56244
Therefore, the GCF of Fractions 790/516,643/109 is 1/56244
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 516,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(516,109) x common factors =1 x 1 = 1
LCM(516,109) = ( 516 × 109 ) / 1
LCM(516,109) = 56244 / 1
LCM(516,109) = 56244
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 790,643?
The HCF of 790,643 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 790/516, 643/109?
Answer: GCF of Numerators as per given numbers 790/516, 643/109 is
GCF of Numerators i.e. for 790,643 is 1
LCM of denominators i.e. for 516,109 is 56244.
Thus, GCF of Fractions is 1/56244.Finally, GCF of Fractions for 790/516, 643/109 is 1/56244.