GCF of 4154/446, 5961/1256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4154/446, 5961/1256 i.e 1/280088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4154/446, 5961/1256.
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 4154/446,5961/1256?
Given fractions are 4154/446,5961/1256
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 4154/446,5961/1256, numerators are 4154,5961
Denominators are 446,1256
The GCF of 4154,5961 is 1 .
LCM of 446,1256 is 280088.
The greatest common factor of 4154/446,5961/1256 = [GCF of 4154,5961]/[LCM of 446,1256]= 1/280088
Therefore, the GCF of 4154/446,5961/1256 is 1/280088.
To find the highest common factor of 4154,5961, we have to find the factors of both numbers and list the highest common factor.
The factors of 4154 are 1, 2, 31, 62, 67, 134, 2077, 4154
The factors of 5961 are 1, 3, 1987, 5961
The HCF of 4154,5961 is 1.
Lets's calculate GCF of 4154,5961
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4154,5961 By Matching Biggest Common Factor Method
Now, list down the factors of 4154
:1,2,31,62,67,134,2077,4154
Now, list down the factors of 5961
:1,3,1987,5961
Greatest Common Factor
We found the factors 4154,5961 . The biggest common factor number is the GCF number.
So the greatest common factor 4154,5961 is 1.
Lets's calculate LCM of 446,1256
| 2 | 446, 1256 |
| 223, 628 |
∴ So the LCM of the given numbers is 2 x 223 x 628 = 280088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280088
Therefore, the GCF of Fractions 4154/446,5961/1256 is 1/280088
Least Common Multiple of 446,1256 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 446,1256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,1256) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,1256) x common factors =2 x 1 = 2
LCM(446,1256) = ( 446 × 1256 ) / 2
LCM(446,1256) = 560176 / 2
LCM(446,1256) = 280088
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FAQs on GCF of Fractions of 4154/446, 5961/1256
1. What is the HCF of 4154,5961?
The HCF of 4154,5961 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 4154/446, 5961/1256?
Answer: GCF of Numerators as per given numbers 4154/446, 5961/1256 is
GCF of Numerators i.e. for 4154,5961 is 1
LCM of denominators i.e. for 446,1256 is 280088.
Thus, GCF of Fractions is 1/280088.Finally, GCF of Fractions for 4154/446, 5961/1256 is 1/280088.