GCF of 8164/669, 2022/6728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8164/669, 2022/6728 i.e 2/4501032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8164/669, 2022/6728.
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 8164/669,2022/6728?
Given fractions are 8164/669,2022/6728
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 8164/669,2022/6728, numerators are 8164,2022
Denominators are 669,6728
The GCF of 8164,2022 is 2 .
LCM of 669,6728 is 4501032.
The greatest common factor of 8164/669,2022/6728 = [GCF of 8164,2022]/[LCM of 669,6728]= 2/4501032
Therefore, the GCF of 8164/669,2022/6728 is 2/4501032.
To find the highest common factor of 8164,2022, we have to find the factors of both numbers and list the highest common factor.
The factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164
The factors of 2022 are 1, 2, 3, 6, 337, 674, 1011, 2022
The HCF of 8164,2022 is 2.
Lets's calculate GCF of 8164,2022
| 2 | 8164, 2022 |
| 4082, 1011 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8164,2022 By Matching Biggest Common Factor Method
Now, list down the factors of 8164
:1,2,4,13,26,52,157,314,628,2041,4082,8164
Now, list down the factors of 2022
:1,2,3,6,337,674,1011,2022
Greatest Common Factor
We found the factors 8164,2022 . The biggest common factor number is the GCF number.
So the greatest common factor 8164,2022 is 2.
Lets's calculate LCM of 669,6728
Given numbers has no common factors except 1. So, there LCM is their product i.e 4501032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4501032
Therefore, the GCF of Fractions 8164/669,2022/6728 is 2/4501032
Least Common Multiple of 669,6728 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 669,6728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,6728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,6728) x common factors =1 x 1 = 1
LCM(669,6728) = ( 669 × 6728 ) / 1
LCM(669,6728) = 4501032 / 1
LCM(669,6728) = 4501032
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8164/669, 2022/6728
1. What is the HCF of 8164,2022?
The HCF of 8164,2022 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 8164/669, 2022/6728?
Answer: GCF of Numerators as per given numbers 8164/669, 2022/6728 is
GCF of Numerators i.e. for 8164,2022 is 2
LCM of denominators i.e. for 669,6728 is 4501032.
Thus, GCF of Fractions is 2/4501032.Finally, GCF of Fractions for 8164/669, 2022/6728 is 2/4501032.