GCF of 698/380, 206/794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 698/380, 206/794 i.e 2/150860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 698/380, 206/794.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 698/380,206/794?
Given fractions are 698/380,206/794
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 698/380,206/794, numerators are 698,206
Denominators are 380,794
The GCF of 698,206 is 2 .
LCM of 380,794 is 150860.
The greatest common factor of 698/380,206/794 = [GCF of 698,206]/[LCM of 380,794]= 2/150860
Therefore, the GCF of 698/380,206/794 is 2/150860.
To find the highest common factor of 698,206, 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 206 are 1, 2, 103, 206
The HCF of 698,206 is 2.
Lets's calculate GCF of 698,206
| 2 | 698, 206 |
| 349, 103 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 698,206 By Matching Biggest Common Factor Method
Now, list down the factors of 698
:1,2,349,698
Now, list down the factors of 206
:1,2,103,206
Greatest Common Factor
We found the factors 698,206 . The biggest common factor number is the GCF number.
So the greatest common factor 698,206 is 2.
Lets's calculate LCM of 380,794
| 2 | 380, 794 |
| 190, 397 |
∴ So the LCM of the given numbers is 2 x 190 x 397 = 150860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/150860
Therefore, the GCF of Fractions 698/380,206/794 is 2/150860
Least Common Multiple of 380,794 with GCF Formula
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 380,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,794) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(380,794) x common factors =2 x 1 = 2
LCM(380,794) = ( 380 × 794 ) / 2
LCM(380,794) = 301720 / 2
LCM(380,794) = 150860
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FAQs on GCF of Fractions of 698/380, 206/794
1. What is the HCF of 698,206?
The HCF of 698,206 is 2
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 698/380, 206/794?
Answer: GCF of Numerators as per given numbers 698/380, 206/794 is
GCF of Numerators i.e. for 698,206 is 2
LCM of denominators i.e. for 380,794 is 150860.
Thus, GCF of Fractions is 2/150860.Finally, GCF of Fractions for 698/380, 206/794 is 2/150860.