GCF of 8271/604, 6726/4238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8271/604, 6726/4238 i.e 3/1279876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8271/604, 6726/4238.
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 8271/604,6726/4238?
Given fractions are 8271/604,6726/4238
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 8271/604,6726/4238, numerators are 8271,6726
Denominators are 604,4238
The GCF of 8271,6726 is 3 .
LCM of 604,4238 is 1279876.
The greatest common factor of 8271/604,6726/4238 = [GCF of 8271,6726]/[LCM of 604,4238]= 3/1279876
Therefore, the GCF of 8271/604,6726/4238 is 3/1279876.
To find the highest common factor of 8271,6726, we have to find the factors of both numbers and list the highest common factor.
The factors of 8271 are 1, 3, 9, 919, 2757, 8271
The factors of 6726 are 1, 2, 3, 6, 19, 38, 57, 59, 114, 118, 177, 354, 1121, 2242, 3363, 6726
The HCF of 8271,6726 is 3.
Lets's calculate GCF of 8271,6726
| 3 | 8271, 6726 |
| 2757, 2242 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8271,6726 By Matching Biggest Common Factor Method
Now, list down the factors of 8271
:1,3,9,919,2757,8271
Now, list down the factors of 6726
:1,2,3,6,19,38,57,59,114,118,177,354,1121,2242,3363,6726
Greatest Common Factor
We found the factors 8271,6726 . The biggest common factor number is the GCF number.
So the greatest common factor 8271,6726 is 3.
Lets's calculate LCM of 604,4238
| 2 | 604, 4238 |
| 302, 2119 |
∴ So the LCM of the given numbers is 2 x 302 x 2119 = 1279876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1279876
Therefore, the GCF of Fractions 8271/604,6726/4238 is 3/1279876
Least Common Multiple of 604,4238 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 604,4238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,4238) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(604,4238) x common factors =2 x 1 = 2
LCM(604,4238) = ( 604 × 4238 ) / 2
LCM(604,4238) = 2559752 / 2
LCM(604,4238) = 1279876
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FAQs on GCF of Fractions of 8271/604, 6726/4238
1. What is the HCF of 8271,6726?
The HCF of 8271,6726 is 3
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 8271/604, 6726/4238?
Answer: GCF of Numerators as per given numbers 8271/604, 6726/4238 is
GCF of Numerators i.e. for 8271,6726 is 3
LCM of denominators i.e. for 604,4238 is 1279876.
Thus, GCF of Fractions is 3/1279876.Finally, GCF of Fractions for 8271/604, 6726/4238 is 3/1279876.