Use our free GCF of Fractions Calculator tool to compute the GCF of 679/600, 694/613 i.e 1/367800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 679/600, 694/613.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 679/600,694/613
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 679/600,694/613, numerators are 679,694
Denominators are 600,613
The GCF of 679,694 is 1 .
LCM of 600,613 is 367800.
The greatest common factor of 679/600,694/613 = [GCF of 679,694]/[LCM of 600,613]= 1/367800
Therefore, the GCF of 679/600,694/613 is 1/367800.
To find the highest common factor of 679,694, we have to find the factors of both numbers and list the highest common factor.
The factors of 679 are 1, 7, 97, 679
The factors of 694 are 1, 2, 347, 694
The HCF of 679,694 is 1.
Lets's calculate GCF of 679,694
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 679
:1,7,97,679
Now, list down the factors of 694
:1,2,347,694
Greatest Common Factor
We found the factors 679,694 . The biggest common factor number is the GCF number.
So the greatest common factor 679,694 is 1.
Lets's calculate LCM of 600,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 367800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367800
Therefore, the GCF of Fractions 679/600,694/613 is 1/367800
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 600,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(600,613) x common factors =1 x 1 = 1
LCM(600,613) = ( 600 × 613 ) / 1
LCM(600,613) = 367800 / 1
LCM(600,613) = 367800
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 679,694?
The HCF of 679,694 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 679/600, 694/613?
Answer: GCF of Numerators as per given numbers 679/600, 694/613 is
GCF of Numerators i.e. for 679,694 is 1
LCM of denominators i.e. for 600,613 is 367800.
Thus, GCF of Fractions is 1/367800.Finally, GCF of Fractions for 679/600, 694/613 is 1/367800.