GCF of 2133/476, 2909/679
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2133/476, 2909/679 i.e 1/46172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2133/476, 2909/679.
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 2133/476,2909/679?
Given fractions are 2133/476,2909/679
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 2133/476,2909/679, numerators are 2133,2909
Denominators are 476,679
The GCF of 2133,2909 is 1 .
LCM of 476,679 is 46172.
The greatest common factor of 2133/476,2909/679 = [GCF of 2133,2909]/[LCM of 476,679]= 1/46172
Therefore, the GCF of 2133/476,2909/679 is 1/46172.
To find the highest common factor of 2133,2909, we have to find the factors of both numbers and list the highest common factor.
The factors of 2133 are 1, 3, 9, 27, 79, 237, 711, 2133
The factors of 2909 are 1, 2909
The HCF of 2133,2909 is 1.
Lets's calculate GCF of 2133,2909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2133,2909 By Matching Biggest Common Factor Method
Now, list down the factors of 2133
:1,3,9,27,79,237,711,2133
Now, list down the factors of 2909
:1,2909
Greatest Common Factor
We found the factors 2133,2909 . The biggest common factor number is the GCF number.
So the greatest common factor 2133,2909 is 1.
Lets's calculate LCM of 476,679
| 7 | 476, 679 |
| 68, 97 |
∴ So the LCM of the given numbers is 7 x 68 x 97 = 46172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46172
Therefore, the GCF of Fractions 2133/476,2909/679 is 1/46172
Least Common Multiple of 476,679 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 476,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,679) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(476,679) x common factors =7 x 1 = 7
LCM(476,679) = ( 476 × 679 ) / 7
LCM(476,679) = 323204 / 7
LCM(476,679) = 46172
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FAQs on GCF of Fractions of 2133/476, 2909/679
1. What is the HCF of 2133,2909?
The HCF of 2133,2909 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 2133/476, 2909/679?
Answer: GCF of Numerators as per given numbers 2133/476, 2909/679 is
GCF of Numerators i.e. for 2133,2909 is 1
LCM of denominators i.e. for 476,679 is 46172.
Thus, GCF of Fractions is 1/46172.Finally, GCF of Fractions for 2133/476, 2909/679 is 1/46172.