GCF of 5826/420, 8664/193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5826/420, 8664/193 i.e 6/81060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5826/420, 8664/193.
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 5826/420,8664/193?
Given fractions are 5826/420,8664/193
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 5826/420,8664/193, numerators are 5826,8664
Denominators are 420,193
The GCF of 5826,8664 is 6 .
LCM of 420,193 is 81060.
The greatest common factor of 5826/420,8664/193 = [GCF of 5826,8664]/[LCM of 420,193]= 6/81060
Therefore, the GCF of 5826/420,8664/193 is 6/81060.
To find the highest common factor of 5826,8664, we have to find the factors of both numbers and list the highest common factor.
The factors of 5826 are 1, 2, 3, 6, 971, 1942, 2913, 5826
The factors of 8664 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664
The HCF of 5826,8664 is 6.
Lets's calculate GCF of 5826,8664
| 2 | 5826, 8664 |
| 3 | 2913, 4332 |
| 971, 1444 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5826,8664 By Matching Biggest Common Factor Method
Now, list down the factors of 5826
:1,2,3,6,971,1942,2913,5826
Now, list down the factors of 8664
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,361,456,722,1083,1444,2166,2888,4332,8664
Greatest Common Factor
We found the factors 5826,8664 . The biggest common factor number is the GCF number.
So the greatest common factor 5826,8664 is 6.
Lets's calculate LCM of 420,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 81060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/81060
Therefore, the GCF of Fractions 5826/420,8664/193 is 6/81060
Least Common Multiple of 420,193 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 420,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,193) x common factors =1 x 1 = 1
LCM(420,193) = ( 420 × 193 ) / 1
LCM(420,193) = 81060 / 1
LCM(420,193) = 81060
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5826/420, 8664/193
1. What is the HCF of 5826,8664?
The HCF of 5826,8664 is 6
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 5826/420, 8664/193?
Answer: GCF of Numerators as per given numbers 5826/420, 8664/193 is
GCF of Numerators i.e. for 5826,8664 is 6
LCM of denominators i.e. for 420,193 is 81060.
Thus, GCF of Fractions is 6/81060.Finally, GCF of Fractions for 5826/420, 8664/193 is 6/81060.