GCF of 1257/255, 1377/4184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1257/255, 1377/4184 i.e 3/1066920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1257/255, 1377/4184.
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 1257/255,1377/4184?
Given fractions are 1257/255,1377/4184
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 1257/255,1377/4184, numerators are 1257,1377
Denominators are 255,4184
The GCF of 1257,1377 is 3 .
LCM of 255,4184 is 1066920.
The greatest common factor of 1257/255,1377/4184 = [GCF of 1257,1377]/[LCM of 255,4184]= 3/1066920
Therefore, the GCF of 1257/255,1377/4184 is 3/1066920.
To find the highest common factor of 1257,1377, we have to find the factors of both numbers and list the highest common factor.
The factors of 1257 are 1, 3, 419, 1257
The factors of 1377 are 1, 3, 9, 17, 27, 51, 81, 153, 459, 1377
The HCF of 1257,1377 is 3.
Lets's calculate GCF of 1257,1377
| 3 | 1257, 1377 |
| 419, 459 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1257,1377 By Matching Biggest Common Factor Method
Now, list down the factors of 1257
:1,3,419,1257
Now, list down the factors of 1377
:1,3,9,17,27,51,81,153,459,1377
Greatest Common Factor
We found the factors 1257,1377 . The biggest common factor number is the GCF number.
So the greatest common factor 1257,1377 is 3.
Lets's calculate LCM of 255,4184
Given numbers has no common factors except 1. So, there LCM is their product i.e 1066920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1066920
Therefore, the GCF of Fractions 1257/255,1377/4184 is 3/1066920
Least Common Multiple of 255,4184 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 255,4184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,4184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(255,4184) x common factors =1 x 1 = 1
LCM(255,4184) = ( 255 × 4184 ) / 1
LCM(255,4184) = 1066920 / 1
LCM(255,4184) = 1066920
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FAQs on GCF of Fractions of 1257/255, 1377/4184
1. What is the HCF of 1257,1377?
The HCF of 1257,1377 is 3
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 1257/255, 1377/4184?
Answer: GCF of Numerators as per given numbers 1257/255, 1377/4184 is
GCF of Numerators i.e. for 1257,1377 is 3
LCM of denominators i.e. for 255,4184 is 1066920.
Thus, GCF of Fractions is 3/1066920.Finally, GCF of Fractions for 1257/255, 1377/4184 is 3/1066920.