GCF of 5091/214, 4026/7667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5091/214, 4026/7667 i.e 3/1640738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5091/214, 4026/7667.
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 5091/214,4026/7667?
Given fractions are 5091/214,4026/7667
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 5091/214,4026/7667, numerators are 5091,4026
Denominators are 214,7667
The GCF of 5091,4026 is 3 .
LCM of 214,7667 is 1640738.
The greatest common factor of 5091/214,4026/7667 = [GCF of 5091,4026]/[LCM of 214,7667]= 3/1640738
Therefore, the GCF of 5091/214,4026/7667 is 3/1640738.
To find the highest common factor of 5091,4026, we have to find the factors of both numbers and list the highest common factor.
The factors of 5091 are 1, 3, 1697, 5091
The factors of 4026 are 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026
The HCF of 5091,4026 is 3.
Lets's calculate GCF of 5091,4026
| 3 | 5091, 4026 |
| 1697, 1342 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5091,4026 By Matching Biggest Common Factor Method
Now, list down the factors of 5091
:1,3,1697,5091
Now, list down the factors of 4026
:1,2,3,6,11,22,33,61,66,122,183,366,671,1342,2013,4026
Greatest Common Factor
We found the factors 5091,4026 . The biggest common factor number is the GCF number.
So the greatest common factor 5091,4026 is 3.
Lets's calculate LCM of 214,7667
Given numbers has no common factors except 1. So, there LCM is their product i.e 1640738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1640738
Therefore, the GCF of Fractions 5091/214,4026/7667 is 3/1640738
Least Common Multiple of 214,7667 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 214,7667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,7667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,7667) x common factors =1 x 1 = 1
LCM(214,7667) = ( 214 × 7667 ) / 1
LCM(214,7667) = 1640738 / 1
LCM(214,7667) = 1640738
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FAQs on GCF of Fractions of 5091/214, 4026/7667
1. What is the HCF of 5091,4026?
The HCF of 5091,4026 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 5091/214, 4026/7667?
Answer: GCF of Numerators as per given numbers 5091/214, 4026/7667 is
GCF of Numerators i.e. for 5091,4026 is 3
LCM of denominators i.e. for 214,7667 is 1640738.
Thus, GCF of Fractions is 3/1640738.Finally, GCF of Fractions for 5091/214, 4026/7667 is 3/1640738.