GCF of 2388/227, 6414/669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2388/227, 6414/669 i.e 6/151863 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2388/227, 6414/669.
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 2388/227,6414/669?
Given fractions are 2388/227,6414/669
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 2388/227,6414/669, numerators are 2388,6414
Denominators are 227,669
The GCF of 2388,6414 is 6 .
LCM of 227,669 is 151863.
The greatest common factor of 2388/227,6414/669 = [GCF of 2388,6414]/[LCM of 227,669]= 6/151863
Therefore, the GCF of 2388/227,6414/669 is 6/151863.
To find the highest common factor of 2388,6414, we have to find the factors of both numbers and list the highest common factor.
The factors of 2388 are 1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388
The factors of 6414 are 1, 2, 3, 6, 1069, 2138, 3207, 6414
The HCF of 2388,6414 is 6.
Lets's calculate GCF of 2388,6414
| 2 | 2388, 6414 |
| 3 | 1194, 3207 |
| 398, 1069 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2388,6414 By Matching Biggest Common Factor Method
Now, list down the factors of 2388
:1,2,3,4,6,12,199,398,597,796,1194,2388
Now, list down the factors of 6414
:1,2,3,6,1069,2138,3207,6414
Greatest Common Factor
We found the factors 2388,6414 . The biggest common factor number is the GCF number.
So the greatest common factor 2388,6414 is 6.
Lets's calculate LCM of 227,669
Given numbers has no common factors except 1. So, there LCM is their product i.e 151863
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/151863
Therefore, the GCF of Fractions 2388/227,6414/669 is 6/151863
Least Common Multiple of 227,669 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 227,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,669) x common factors =1 x 1 = 1
LCM(227,669) = ( 227 × 669 ) / 1
LCM(227,669) = 151863 / 1
LCM(227,669) = 151863
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FAQs on GCF of Fractions of 2388/227, 6414/669
1. What is the HCF of 2388,6414?
The HCF of 2388,6414 is 6
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 2388/227, 6414/669?
Answer: GCF of Numerators as per given numbers 2388/227, 6414/669 is
GCF of Numerators i.e. for 2388,6414 is 6
LCM of denominators i.e. for 227,669 is 151863.
Thus, GCF of Fractions is 6/151863.Finally, GCF of Fractions for 2388/227, 6414/669 is 6/151863.