GCF of 8144/255, 7237/582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8144/255, 7237/582 i.e 1/49470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8144/255, 7237/582.
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 8144/255,7237/582?
Given fractions are 8144/255,7237/582
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 8144/255,7237/582, numerators are 8144,7237
Denominators are 255,582
The GCF of 8144,7237 is 1 .
LCM of 255,582 is 49470.
The greatest common factor of 8144/255,7237/582 = [GCF of 8144,7237]/[LCM of 255,582]= 1/49470
Therefore, the GCF of 8144/255,7237/582 is 1/49470.
To find the highest common factor of 8144,7237, we have to find the factors of both numbers and list the highest common factor.
The factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144
The factors of 7237 are 1, 7237
The HCF of 8144,7237 is 1.
Lets's calculate GCF of 8144,7237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8144,7237 By Matching Biggest Common Factor Method
Now, list down the factors of 8144
:1,2,4,8,16,509,1018,2036,4072,8144
Now, list down the factors of 7237
:1,7237
Greatest Common Factor
We found the factors 8144,7237 . The biggest common factor number is the GCF number.
So the greatest common factor 8144,7237 is 1.
Lets's calculate LCM of 255,582
| 3 | 255, 582 |
| 85, 194 |
∴ So the LCM of the given numbers is 3 x 85 x 194 = 49470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49470
Therefore, the GCF of Fractions 8144/255,7237/582 is 1/49470
Least Common Multiple of 255,582 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 255,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,582) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(255,582) x common factors =3 x 1 = 3
LCM(255,582) = ( 255 × 582 ) / 3
LCM(255,582) = 148410 / 3
LCM(255,582) = 49470
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8144/255, 7237/582
1. What is the HCF of 8144,7237?
The HCF of 8144,7237 is 1
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 8144/255, 7237/582?
Answer: GCF of Numerators as per given numbers 8144/255, 7237/582 is
GCF of Numerators i.e. for 8144,7237 is 1
LCM of denominators i.e. for 255,582 is 49470.
Thus, GCF of Fractions is 1/49470.Finally, GCF of Fractions for 8144/255, 7237/582 is 1/49470.