GCF of 818/374, 6814/700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 818/374, 6814/700 i.e 2/130900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 818/374, 6814/700.
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 818/374,6814/700?
Given fractions are 818/374,6814/700
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 818/374,6814/700, numerators are 818,6814
Denominators are 374,700
The GCF of 818,6814 is 2 .
LCM of 374,700 is 130900.
The greatest common factor of 818/374,6814/700 = [GCF of 818,6814]/[LCM of 374,700]= 2/130900
Therefore, the GCF of 818/374,6814/700 is 2/130900.
To find the highest common factor of 818,6814, we have to find the factors of both numbers and list the highest common factor.
The factors of 818 are 1, 2, 409, 818
The factors of 6814 are 1, 2, 3407, 6814
The HCF of 818,6814 is 2.
Lets's calculate GCF of 818,6814
| 2 | 818, 6814 |
| 409, 3407 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 818,6814 By Matching Biggest Common Factor Method
Now, list down the factors of 818
:1,2,409,818
Now, list down the factors of 6814
:1,2,3407,6814
Greatest Common Factor
We found the factors 818,6814 . The biggest common factor number is the GCF number.
So the greatest common factor 818,6814 is 2.
Lets's calculate LCM of 374,700
| 2 | 374, 700 |
| 187, 350 |
∴ So the LCM of the given numbers is 2 x 187 x 350 = 130900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130900
Therefore, the GCF of Fractions 818/374,6814/700 is 2/130900
Least Common Multiple of 374,700 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 374,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,700) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,700) x common factors =2 x 1 = 2
LCM(374,700) = ( 374 × 700 ) / 2
LCM(374,700) = 261800 / 2
LCM(374,700) = 130900
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 818/374, 6814/700
1. What is the HCF of 818,6814?
The HCF of 818,6814 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 818/374, 6814/700?
Answer: GCF of Numerators as per given numbers 818/374, 6814/700 is
GCF of Numerators i.e. for 818,6814 is 2
LCM of denominators i.e. for 374,700 is 130900.
Thus, GCF of Fractions is 2/130900.Finally, GCF of Fractions for 818/374, 6814/700 is 2/130900.