GCF of 1472/289, 4216/255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1472/289, 4216/255 i.e 8/4335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1472/289, 4216/255.
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 1472/289,4216/255?
Given fractions are 1472/289,4216/255
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 1472/289,4216/255, numerators are 1472,4216
Denominators are 289,255
The GCF of 1472,4216 is 8 .
LCM of 289,255 is 4335.
The greatest common factor of 1472/289,4216/255 = [GCF of 1472,4216]/[LCM of 289,255]= 8/4335
Therefore, the GCF of 1472/289,4216/255 is 8/4335.
To find the highest common factor of 1472,4216, we have to find the factors of both numbers and list the highest common factor.
The factors of 1472 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472
The factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216
The HCF of 1472,4216 is 8.
Lets's calculate GCF of 1472,4216
| 2 | 1472, 4216 |
| 2 | 736, 2108 |
| 2 | 368, 1054 |
| 184, 527 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1472,4216 By Matching Biggest Common Factor Method
Now, list down the factors of 1472
:1,2,4,8,16,23,32,46,64,92,184,368,736,1472
Now, list down the factors of 4216
:1,2,4,8,17,31,34,62,68,124,136,248,527,1054,2108,4216
Greatest Common Factor
We found the factors 1472,4216 . The biggest common factor number is the GCF number.
So the greatest common factor 1472,4216 is 8.
Lets's calculate LCM of 289,255
| 17 | 289, 255 |
| 17, 15 |
∴ So the LCM of the given numbers is 17 x 17 x 15 = 4335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4335
Therefore, the GCF of Fractions 1472/289,4216/255 is 8/4335
Least Common Multiple of 289,255 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 289,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,255) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(289,255) x common factors =17 x 1 = 17
LCM(289,255) = ( 289 × 255 ) / 17
LCM(289,255) = 73695 / 17
LCM(289,255) = 4335
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FAQs on GCF of Fractions of 1472/289, 4216/255
1. What is the HCF of 1472,4216?
The HCF of 1472,4216 is 8
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 1472/289, 4216/255?
Answer: GCF of Numerators as per given numbers 1472/289, 4216/255 is
GCF of Numerators i.e. for 1472,4216 is 8
LCM of denominators i.e. for 289,255 is 4335.
Thus, GCF of Fractions is 8/4335.Finally, GCF of Fractions for 1472/289, 4216/255 is 8/4335.