Use our free GCF of Fractions Calculator tool to compute the GCF of 698/316, 683/998 i.e 1/157684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 698/316, 683/998.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 698/316,683/998
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 698/316,683/998, numerators are 698,683
Denominators are 316,998
The GCF of 698,683 is 1 .
LCM of 316,998 is 157684.
The greatest common factor of 698/316,683/998 = [GCF of 698,683]/[LCM of 316,998]= 1/157684
Therefore, the GCF of 698/316,683/998 is 1/157684.
To find the highest common factor of 698,683, we have to find the factors of both numbers and list the highest common factor.
The factors of 698 are 1, 2, 349, 698
The factors of 683 are 1, 683
The HCF of 698,683 is 1.
Lets's calculate GCF of 698,683
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 698
:1,2,349,698
Now, list down the factors of 683
:1,683
Greatest Common Factor
We found the factors 698,683 . The biggest common factor number is the GCF number.
So the greatest common factor 698,683 is 1.
Lets's calculate LCM of 316,998
2 | 316, 998 |
158, 499 |
∴ So the LCM of the given numbers is 2 x 158 x 499 = 157684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157684
Therefore, the GCF of Fractions 698/316,683/998 is 1/157684
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 316,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(316,998) x common factors =2 x 1 = 2
LCM(316,998) = ( 316 × 998 ) / 2
LCM(316,998) = 315368 / 2
LCM(316,998) = 157684
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 698,683?
The HCF of 698,683 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 698/316, 683/998?
Answer: GCF of Numerators as per given numbers 698/316, 683/998 is
GCF of Numerators i.e. for 698,683 is 1
LCM of denominators i.e. for 316,998 is 157684.
Thus, GCF of Fractions is 1/157684.Finally, GCF of Fractions for 698/316, 683/998 is 1/157684.