GCF of 5884/465, 2362/2262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5884/465, 2362/2262 i.e 2/350610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5884/465, 2362/2262.
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 5884/465,2362/2262?
Given fractions are 5884/465,2362/2262
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 5884/465,2362/2262, numerators are 5884,2362
Denominators are 465,2262
The GCF of 5884,2362 is 2 .
LCM of 465,2262 is 350610.
The greatest common factor of 5884/465,2362/2262 = [GCF of 5884,2362]/[LCM of 465,2262]= 2/350610
Therefore, the GCF of 5884/465,2362/2262 is 2/350610.
To find the highest common factor of 5884,2362, we have to find the factors of both numbers and list the highest common factor.
The factors of 5884 are 1, 2, 4, 1471, 2942, 5884
The factors of 2362 are 1, 2, 1181, 2362
The HCF of 5884,2362 is 2.
Lets's calculate GCF of 5884,2362
| 2 | 5884, 2362 |
| 2942, 1181 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5884,2362 By Matching Biggest Common Factor Method
Now, list down the factors of 5884
:1,2,4,1471,2942,5884
Now, list down the factors of 2362
:1,2,1181,2362
Greatest Common Factor
We found the factors 5884,2362 . The biggest common factor number is the GCF number.
So the greatest common factor 5884,2362 is 2.
Lets's calculate LCM of 465,2262
| 3 | 465, 2262 |
| 155, 754 |
∴ So the LCM of the given numbers is 3 x 155 x 754 = 350610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/350610
Therefore, the GCF of Fractions 5884/465,2362/2262 is 2/350610
Least Common Multiple of 465,2262 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 465,2262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,2262) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(465,2262) x common factors =3 x 1 = 3
LCM(465,2262) = ( 465 × 2262 ) / 3
LCM(465,2262) = 1051830 / 3
LCM(465,2262) = 350610
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FAQs on GCF of Fractions of 5884/465, 2362/2262
1. What is the HCF of 5884,2362?
The HCF of 5884,2362 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 5884/465, 2362/2262?
Answer: GCF of Numerators as per given numbers 5884/465, 2362/2262 is
GCF of Numerators i.e. for 5884,2362 is 2
LCM of denominators i.e. for 465,2262 is 350610.
Thus, GCF of Fractions is 2/350610.Finally, GCF of Fractions for 5884/465, 2362/2262 is 2/350610.