GCF of 5812/908, 2430/2668
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5812/908, 2430/2668 i.e 2/605636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5812/908, 2430/2668.
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 5812/908,2430/2668?
Given fractions are 5812/908,2430/2668
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 5812/908,2430/2668, numerators are 5812,2430
Denominators are 908,2668
The GCF of 5812,2430 is 2 .
LCM of 908,2668 is 605636.
The greatest common factor of 5812/908,2430/2668 = [GCF of 5812,2430]/[LCM of 908,2668]= 2/605636
Therefore, the GCF of 5812/908,2430/2668 is 2/605636.
To find the highest common factor of 5812,2430, we have to find the factors of both numbers and list the highest common factor.
The factors of 5812 are 1, 2, 4, 1453, 2906, 5812
The factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430
The HCF of 5812,2430 is 2.
Lets's calculate GCF of 5812,2430
| 2 | 5812, 2430 |
| 2906, 1215 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5812,2430 By Matching Biggest Common Factor Method
Now, list down the factors of 5812
:1,2,4,1453,2906,5812
Now, list down the factors of 2430
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430
Greatest Common Factor
We found the factors 5812,2430 . The biggest common factor number is the GCF number.
So the greatest common factor 5812,2430 is 2.
Lets's calculate LCM of 908,2668
| 2 | 908, 2668 |
| 2 | 454, 1334 |
| 227, 667 |
∴ So the LCM of the given numbers is 2 x 2 x 227 x 667 = 605636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/605636
Therefore, the GCF of Fractions 5812/908,2430/2668 is 2/605636
Least Common Multiple of 908,2668 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 908,2668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,2668) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(908,2668) x common factors =4 x 1 = 4
LCM(908,2668) = ( 908 × 2668 ) / 4
LCM(908,2668) = 2422544 / 4
LCM(908,2668) = 605636
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FAQs on GCF of Fractions of 5812/908, 2430/2668
1. What is the HCF of 5812,2430?
The HCF of 5812,2430 is 2
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 5812/908, 2430/2668?
Answer: GCF of Numerators as per given numbers 5812/908, 2430/2668 is
GCF of Numerators i.e. for 5812,2430 is 2
LCM of denominators i.e. for 908,2668 is 605636.
Thus, GCF of Fractions is 2/605636.Finally, GCF of Fractions for 5812/908, 2430/2668 is 2/605636.