GCF of 4267/976, 2127/4256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4267/976, 2127/4256 i.e 1/259616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4267/976, 2127/4256.
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 4267/976,2127/4256?
Given fractions are 4267/976,2127/4256
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 4267/976,2127/4256, numerators are 4267,2127
Denominators are 976,4256
The GCF of 4267,2127 is 1 .
LCM of 976,4256 is 259616.
The greatest common factor of 4267/976,2127/4256 = [GCF of 4267,2127]/[LCM of 976,4256]= 1/259616
Therefore, the GCF of 4267/976,2127/4256 is 1/259616.
To find the highest common factor of 4267,2127, we have to find the factors of both numbers and list the highest common factor.
The factors of 4267 are 1, 17, 251, 4267
The factors of 2127 are 1, 3, 709, 2127
The HCF of 4267,2127 is 1.
Lets's calculate GCF of 4267,2127
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4267,2127 By Matching Biggest Common Factor Method
Now, list down the factors of 4267
:1,17,251,4267
Now, list down the factors of 2127
:1,3,709,2127
Greatest Common Factor
We found the factors 4267,2127 . The biggest common factor number is the GCF number.
So the greatest common factor 4267,2127 is 1.
Lets's calculate LCM of 976,4256
| 2 | 976, 4256 |
| 2 | 488, 2128 |
| 2 | 244, 1064 |
| 2 | 122, 532 |
| 61, 266 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 61 x 266 = 259616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/259616
Therefore, the GCF of Fractions 4267/976,2127/4256 is 1/259616
Least Common Multiple of 976,4256 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 976,4256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,4256) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(976,4256) x common factors =16 x 1 = 16
LCM(976,4256) = ( 976 × 4256 ) / 16
LCM(976,4256) = 4153856 / 16
LCM(976,4256) = 259616
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FAQs on GCF of Fractions of 4267/976, 2127/4256
1. What is the HCF of 4267,2127?
The HCF of 4267,2127 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 4267/976, 2127/4256?
Answer: GCF of Numerators as per given numbers 4267/976, 2127/4256 is
GCF of Numerators i.e. for 4267,2127 is 1
LCM of denominators i.e. for 976,4256 is 259616.
Thus, GCF of Fractions is 1/259616.Finally, GCF of Fractions for 4267/976, 2127/4256 is 1/259616.