GCF of 6661/312, 4327/8338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6661/312, 4327/8338 i.e 1/1300728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6661/312, 4327/8338.
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 6661/312,4327/8338?
Given fractions are 6661/312,4327/8338
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 6661/312,4327/8338, numerators are 6661,4327
Denominators are 312,8338
The GCF of 6661,4327 is 1 .
LCM of 312,8338 is 1300728.
The greatest common factor of 6661/312,4327/8338 = [GCF of 6661,4327]/[LCM of 312,8338]= 1/1300728
Therefore, the GCF of 6661/312,4327/8338 is 1/1300728.
To find the highest common factor of 6661,4327, we have to find the factors of both numbers and list the highest common factor.
The factors of 6661 are 1, 6661
The factors of 4327 are 1, 4327
The HCF of 6661,4327 is 1.
Lets's calculate GCF of 6661,4327
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6661,4327 By Matching Biggest Common Factor Method
Now, list down the factors of 6661
:1,6661
Now, list down the factors of 4327
:1,4327
Greatest Common Factor
We found the factors 6661,4327 . The biggest common factor number is the GCF number.
So the greatest common factor 6661,4327 is 1.
Lets's calculate LCM of 312,8338
| 2 | 312, 8338 |
| 156, 4169 |
∴ So the LCM of the given numbers is 2 x 156 x 4169 = 1300728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1300728
Therefore, the GCF of Fractions 6661/312,4327/8338 is 1/1300728
Least Common Multiple of 312,8338 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 312,8338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,8338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(312,8338) x common factors =2 x 1 = 2
LCM(312,8338) = ( 312 × 8338 ) / 2
LCM(312,8338) = 2601456 / 2
LCM(312,8338) = 1300728
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FAQs on GCF of Fractions of 6661/312, 4327/8338
1. What is the HCF of 6661,4327?
The HCF of 6661,4327 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 6661/312, 4327/8338?
Answer: GCF of Numerators as per given numbers 6661/312, 4327/8338 is
GCF of Numerators i.e. for 6661,4327 is 1
LCM of denominators i.e. for 312,8338 is 1300728.
Thus, GCF of Fractions is 1/1300728.Finally, GCF of Fractions for 6661/312, 4327/8338 is 1/1300728.