GCF of 2553/311, 3159/927
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2553/311, 3159/927 i.e 3/288297 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2553/311, 3159/927.
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 2553/311,3159/927?
Given fractions are 2553/311,3159/927
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 2553/311,3159/927, numerators are 2553,3159
Denominators are 311,927
The GCF of 2553,3159 is 3 .
LCM of 311,927 is 288297.
The greatest common factor of 2553/311,3159/927 = [GCF of 2553,3159]/[LCM of 311,927]= 3/288297
Therefore, the GCF of 2553/311,3159/927 is 3/288297.
To find the highest common factor of 2553,3159, we have to find the factors of both numbers and list the highest common factor.
The factors of 2553 are 1, 3, 23, 37, 69, 111, 851, 2553
The factors of 3159 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159
The HCF of 2553,3159 is 3.
Lets's calculate GCF of 2553,3159
| 3 | 2553, 3159 |
| 851, 1053 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2553,3159 By Matching Biggest Common Factor Method
Now, list down the factors of 2553
:1,3,23,37,69,111,851,2553
Now, list down the factors of 3159
:1,3,9,13,27,39,81,117,243,351,1053,3159
Greatest Common Factor
We found the factors 2553,3159 . The biggest common factor number is the GCF number.
So the greatest common factor 2553,3159 is 3.
Lets's calculate LCM of 311,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 288297
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/288297
Therefore, the GCF of Fractions 2553/311,3159/927 is 3/288297
Least Common Multiple of 311,927 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 311,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,927) x common factors =1 x 1 = 1
LCM(311,927) = ( 311 × 927 ) / 1
LCM(311,927) = 288297 / 1
LCM(311,927) = 288297
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FAQs on GCF of Fractions of 2553/311, 3159/927
1. What is the HCF of 2553,3159?
The HCF of 2553,3159 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 2553/311, 3159/927?
Answer: GCF of Numerators as per given numbers 2553/311, 3159/927 is
GCF of Numerators i.e. for 2553,3159 is 3
LCM of denominators i.e. for 311,927 is 288297.
Thus, GCF of Fractions is 3/288297.Finally, GCF of Fractions for 2553/311, 3159/927 is 3/288297.