Use our free GCF of Fractions Calculator tool to compute the GCF of 617/775, 698/390 i.e 1/60450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 617/775, 698/390.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 617/775,698/390
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 617/775,698/390, numerators are 617,698
Denominators are 775,390
The GCF of 617,698 is 1 .
LCM of 775,390 is 60450.
The greatest common factor of 617/775,698/390 = [GCF of 617,698]/[LCM of 775,390]= 1/60450
Therefore, the GCF of 617/775,698/390 is 1/60450.
To find the highest common factor of 617,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 617 are 1, 617
The factors of 698 are 1, 2, 349, 698
The HCF of 617,698 is 1.
Lets's calculate GCF of 617,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 617
:1,617
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 617,698 . The biggest common factor number is the GCF number.
So the greatest common factor 617,698 is 1.
Lets's calculate LCM of 775,390
5 | 775, 390 |
155, 78 |
∴ So the LCM of the given numbers is 5 x 155 x 78 = 60450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60450
Therefore, the GCF of Fractions 617/775,698/390 is 1/60450
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 775,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,390) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(775,390) x common factors =5 x 1 = 5
LCM(775,390) = ( 775 × 390 ) / 5
LCM(775,390) = 302250 / 5
LCM(775,390) = 60450
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 617,698?
The HCF of 617,698 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 617/775, 698/390?
Answer: GCF of Numerators as per given numbers 617/775, 698/390 is
GCF of Numerators i.e. for 617,698 is 1
LCM of denominators i.e. for 775,390 is 60450.
Thus, GCF of Fractions is 1/60450.Finally, GCF of Fractions for 617/775, 698/390 is 1/60450.