GCF of 2115/892, 2229/465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2115/892, 2229/465 i.e 3/414780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2115/892, 2229/465.
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 2115/892,2229/465?
Given fractions are 2115/892,2229/465
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 2115/892,2229/465, numerators are 2115,2229
Denominators are 892,465
The GCF of 2115,2229 is 3 .
LCM of 892,465 is 414780.
The greatest common factor of 2115/892,2229/465 = [GCF of 2115,2229]/[LCM of 892,465]= 3/414780
Therefore, the GCF of 2115/892,2229/465 is 3/414780.
To find the highest common factor of 2115,2229, we have to find the factors of both numbers and list the highest common factor.
The factors of 2115 are 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115
The factors of 2229 are 1, 3, 743, 2229
The HCF of 2115,2229 is 3.
Lets's calculate GCF of 2115,2229
| 3 | 2115, 2229 |
| 705, 743 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2115,2229 By Matching Biggest Common Factor Method
Now, list down the factors of 2115
:1,3,5,9,15,45,47,141,235,423,705,2115
Now, list down the factors of 2229
:1,3,743,2229
Greatest Common Factor
We found the factors 2115,2229 . The biggest common factor number is the GCF number.
So the greatest common factor 2115,2229 is 3.
Lets's calculate LCM of 892,465
Given numbers has no common factors except 1. So, there LCM is their product i.e 414780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/414780
Therefore, the GCF of Fractions 2115/892,2229/465 is 3/414780
Least Common Multiple of 892,465 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 892,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(892,465) x common factors =1 x 1 = 1
LCM(892,465) = ( 892 × 465 ) / 1
LCM(892,465) = 414780 / 1
LCM(892,465) = 414780
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FAQs on GCF of Fractions of 2115/892, 2229/465
1. What is the HCF of 2115,2229?
The HCF of 2115,2229 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 2115/892, 2229/465?
Answer: GCF of Numerators as per given numbers 2115/892, 2229/465 is
GCF of Numerators i.e. for 2115,2229 is 3
LCM of denominators i.e. for 892,465 is 414780.
Thus, GCF of Fractions is 3/414780.Finally, GCF of Fractions for 2115/892, 2229/465 is 3/414780.