GCF of 554/23, 612/238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 554/23, 612/238 i.e 2/5474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/23, 612/238.
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 554/23,612/238?
Given fractions are 554/23,612/238
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 554/23,612/238, numerators are 554,612
Denominators are 23,238
The GCF of 554,612 is 2 .
LCM of 23,238 is 5474.
The greatest common factor of 554/23,612/238 = [GCF of 554,612]/[LCM of 23,238]= 2/5474
Therefore, the GCF of 554/23,612/238 is 2/5474.
To find the highest common factor of 554,612, we have to find the factors of both numbers and list the highest common factor.
The factors of 554 are 1, 2, 277, 554
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
The HCF of 554,612 is 2.
Lets's calculate GCF of 554,612
| 2 | 554, 612 |
| 277, 306 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 554,612 By Matching Biggest Common Factor Method
Now, list down the factors of 554
:1,2,277,554
Now, list down the factors of 612
:1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 554,612 . The biggest common factor number is the GCF number.
So the greatest common factor 554,612 is 2.
Lets's calculate LCM of 23,238
Given numbers has no common factors except 1. So, there LCM is their product i.e 5474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5474
Therefore, the GCF of Fractions 554/23,612/238 is 2/5474
Least Common Multiple of 23,238 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 23,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,238) x common factors =1 x 1 = 1
LCM(23,238) = ( 23 × 238 ) / 1
LCM(23,238) = 5474 / 1
LCM(23,238) = 5474
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FAQs on GCF of Fractions of 554/23, 612/238
1. What is the HCF of 554,612?
The HCF of 554,612 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 554/23, 612/238?
Answer: GCF of Numerators as per given numbers 554/23, 612/238 is
GCF of Numerators i.e. for 554,612 is 2
LCM of denominators i.e. for 23,238 is 5474.
Thus, GCF of Fractions is 2/5474.Finally, GCF of Fractions for 554/23, 612/238 is 2/5474.