GCF of 6303/659, 6255/5312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6303/659, 6255/5312 i.e 3/3500608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6303/659, 6255/5312.
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 6303/659,6255/5312?
Given fractions are 6303/659,6255/5312
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 6303/659,6255/5312, numerators are 6303,6255
Denominators are 659,5312
The GCF of 6303,6255 is 3 .
LCM of 659,5312 is 3500608.
The greatest common factor of 6303/659,6255/5312 = [GCF of 6303,6255]/[LCM of 659,5312]= 3/3500608
Therefore, the GCF of 6303/659,6255/5312 is 3/3500608.
To find the highest common factor of 6303,6255, we have to find the factors of both numbers and list the highest common factor.
The factors of 6303 are 1, 3, 11, 33, 191, 573, 2101, 6303
The factors of 6255 are 1, 3, 5, 9, 15, 45, 139, 417, 695, 1251, 2085, 6255
The HCF of 6303,6255 is 3.
Lets's calculate GCF of 6303,6255
| 3 | 6303, 6255 |
| 2101, 2085 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6303,6255 By Matching Biggest Common Factor Method
Now, list down the factors of 6303
:1,3,11,33,191,573,2101,6303
Now, list down the factors of 6255
:1,3,5,9,15,45,139,417,695,1251,2085,6255
Greatest Common Factor
We found the factors 6303,6255 . The biggest common factor number is the GCF number.
So the greatest common factor 6303,6255 is 3.
Lets's calculate LCM of 659,5312
Given numbers has no common factors except 1. So, there LCM is their product i.e 3500608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3500608
Therefore, the GCF of Fractions 6303/659,6255/5312 is 3/3500608
Least Common Multiple of 659,5312 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 659,5312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,5312) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,5312) x common factors =1 x 1 = 1
LCM(659,5312) = ( 659 × 5312 ) / 1
LCM(659,5312) = 3500608 / 1
LCM(659,5312) = 3500608
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FAQs on GCF of Fractions of 6303/659, 6255/5312
1. What is the HCF of 6303,6255?
The HCF of 6303,6255 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 6303/659, 6255/5312?
Answer: GCF of Numerators as per given numbers 6303/659, 6255/5312 is
GCF of Numerators i.e. for 6303,6255 is 3
LCM of denominators i.e. for 659,5312 is 3500608.
Thus, GCF of Fractions is 3/3500608.Finally, GCF of Fractions for 6303/659, 6255/5312 is 3/3500608.