GCF of 6288/955, 5954/252
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6288/955, 5954/252 i.e 2/240660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6288/955, 5954/252.
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 6288/955,5954/252?
Given fractions are 6288/955,5954/252
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 6288/955,5954/252, numerators are 6288,5954
Denominators are 955,252
The GCF of 6288,5954 is 2 .
LCM of 955,252 is 240660.
The greatest common factor of 6288/955,5954/252 = [GCF of 6288,5954]/[LCM of 955,252]= 2/240660
Therefore, the GCF of 6288/955,5954/252 is 2/240660.
To find the highest common factor of 6288,5954, we have to find the factors of both numbers and list the highest common factor.
The factors of 6288 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 6288
The factors of 5954 are 1, 2, 13, 26, 229, 458, 2977, 5954
The HCF of 6288,5954 is 2.
Lets's calculate GCF of 6288,5954
| 2 | 6288, 5954 |
| 3144, 2977 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6288,5954 By Matching Biggest Common Factor Method
Now, list down the factors of 6288
:1,2,3,4,6,8,12,16,24,48,131,262,393,524,786,1048,1572,2096,3144,6288
Now, list down the factors of 5954
:1,2,13,26,229,458,2977,5954
Greatest Common Factor
We found the factors 6288,5954 . The biggest common factor number is the GCF number.
So the greatest common factor 6288,5954 is 2.
Lets's calculate LCM of 955,252
Given numbers has no common factors except 1. So, there LCM is their product i.e 240660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/240660
Therefore, the GCF of Fractions 6288/955,5954/252 is 2/240660
Least Common Multiple of 955,252 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 955,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,252) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,252) x common factors =1 x 1 = 1
LCM(955,252) = ( 955 × 252 ) / 1
LCM(955,252) = 240660 / 1
LCM(955,252) = 240660
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FAQs on GCF of Fractions of 6288/955, 5954/252
1. What is the HCF of 6288,5954?
The HCF of 6288,5954 is 2
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 6288/955, 5954/252?
Answer: GCF of Numerators as per given numbers 6288/955, 5954/252 is
GCF of Numerators i.e. for 6288,5954 is 2
LCM of denominators i.e. for 955,252 is 240660.
Thus, GCF of Fractions is 2/240660.Finally, GCF of Fractions for 6288/955, 5954/252 is 2/240660.