GCF of 6727/290, 5991/3894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6727/290, 5991/3894 i.e 1/564630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6727/290, 5991/3894.
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 6727/290,5991/3894?
Given fractions are 6727/290,5991/3894
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 6727/290,5991/3894, numerators are 6727,5991
Denominators are 290,3894
The GCF of 6727,5991 is 1 .
LCM of 290,3894 is 564630.
The greatest common factor of 6727/290,5991/3894 = [GCF of 6727,5991]/[LCM of 290,3894]= 1/564630
Therefore, the GCF of 6727/290,5991/3894 is 1/564630.
To find the highest common factor of 6727,5991, we have to find the factors of both numbers and list the highest common factor.
The factors of 6727 are 1, 7, 31, 217, 961, 6727
The factors of 5991 are 1, 3, 1997, 5991
The HCF of 6727,5991 is 1.
Lets's calculate GCF of 6727,5991
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6727,5991 By Matching Biggest Common Factor Method
Now, list down the factors of 6727
:1,7,31,217,961,6727
Now, list down the factors of 5991
:1,3,1997,5991
Greatest Common Factor
We found the factors 6727,5991 . The biggest common factor number is the GCF number.
So the greatest common factor 6727,5991 is 1.
Lets's calculate LCM of 290,3894
| 2 | 290, 3894 |
| 145, 1947 |
∴ So the LCM of the given numbers is 2 x 145 x 1947 = 564630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/564630
Therefore, the GCF of Fractions 6727/290,5991/3894 is 1/564630
Least Common Multiple of 290,3894 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 290,3894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,3894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,3894) x common factors =2 x 1 = 2
LCM(290,3894) = ( 290 × 3894 ) / 2
LCM(290,3894) = 1129260 / 2
LCM(290,3894) = 564630
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FAQs on GCF of Fractions of 6727/290, 5991/3894
1. What is the HCF of 6727,5991?
The HCF of 6727,5991 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 6727/290, 5991/3894?
Answer: GCF of Numerators as per given numbers 6727/290, 5991/3894 is
GCF of Numerators i.e. for 6727,5991 is 1
LCM of denominators i.e. for 290,3894 is 564630.
Thus, GCF of Fractions is 1/564630.Finally, GCF of Fractions for 6727/290, 5991/3894 is 1/564630.