GCF of 2486/612, 1228/3592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2486/612, 1228/3592 i.e 2/549576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2486/612, 1228/3592.
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 2486/612,1228/3592?
Given fractions are 2486/612,1228/3592
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 2486/612,1228/3592, numerators are 2486,1228
Denominators are 612,3592
The GCF of 2486,1228 is 2 .
LCM of 612,3592 is 549576.
The greatest common factor of 2486/612,1228/3592 = [GCF of 2486,1228]/[LCM of 612,3592]= 2/549576
Therefore, the GCF of 2486/612,1228/3592 is 2/549576.
To find the highest common factor of 2486,1228, we have to find the factors of both numbers and list the highest common factor.
The factors of 2486 are 1, 2, 11, 22, 113, 226, 1243, 2486
The factors of 1228 are 1, 2, 4, 307, 614, 1228
The HCF of 2486,1228 is 2.
Lets's calculate GCF of 2486,1228
| 2 | 2486, 1228 |
| 1243, 614 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2486,1228 By Matching Biggest Common Factor Method
Now, list down the factors of 2486
:1,2,11,22,113,226,1243,2486
Now, list down the factors of 1228
:1,2,4,307,614,1228
Greatest Common Factor
We found the factors 2486,1228 . The biggest common factor number is the GCF number.
So the greatest common factor 2486,1228 is 2.
Lets's calculate LCM of 612,3592
| 2 | 612, 3592 |
| 2 | 306, 1796 |
| 153, 898 |
∴ So the LCM of the given numbers is 2 x 2 x 153 x 898 = 549576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/549576
Therefore, the GCF of Fractions 2486/612,1228/3592 is 2/549576
Least Common Multiple of 612,3592 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 612,3592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,3592) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(612,3592) x common factors =4 x 1 = 4
LCM(612,3592) = ( 612 × 3592 ) / 4
LCM(612,3592) = 2198304 / 4
LCM(612,3592) = 549576
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FAQs on GCF of Fractions of 2486/612, 1228/3592
1. What is the HCF of 2486,1228?
The HCF of 2486,1228 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 2486/612, 1228/3592?
Answer: GCF of Numerators as per given numbers 2486/612, 1228/3592 is
GCF of Numerators i.e. for 2486,1228 is 2
LCM of denominators i.e. for 612,3592 is 549576.
Thus, GCF of Fractions is 2/549576.Finally, GCF of Fractions for 2486/612, 1228/3592 is 2/549576.