GCF of 6634/182, 7704/5188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6634/182, 7704/5188 i.e 214/472108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6634/182, 7704/5188.
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 6634/182,7704/5188?
Given fractions are 6634/182,7704/5188
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 6634/182,7704/5188, numerators are 6634,7704
Denominators are 182,5188
The GCF of 6634,7704 is 214 .
LCM of 182,5188 is 472108.
The greatest common factor of 6634/182,7704/5188 = [GCF of 6634,7704]/[LCM of 182,5188]= 214/472108
Therefore, the GCF of 6634/182,7704/5188 is 214/472108.
To find the highest common factor of 6634,7704, we have to find the factors of both numbers and list the highest common factor.
The factors of 6634 are 1, 2, 31, 62, 107, 214, 3317, 6634
The factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704
The HCF of 6634,7704 is 214.
Lets's calculate GCF of 6634,7704
| 2 | 6634, 7704 |
| 107 | 3317, 3852 |
| 31, 36 |
∴ So the GCF of the given numbers is 2 x 107 = 214
Greatest Common Factor of 6634,7704 By Matching Biggest Common Factor Method
Now, list down the factors of 6634
:1,2,31,62,107,214,3317,6634
Now, list down the factors of 7704
:1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704
Greatest Common Factor
We found the factors 6634,7704 . The biggest common factor number is the GCF number.
So the greatest common factor 6634,7704 is 214.
Lets's calculate LCM of 182,5188
| 2 | 182, 5188 |
| 91, 2594 |
∴ So the LCM of the given numbers is 2 x 91 x 2594 = 472108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 214/472108
Therefore, the GCF of Fractions 6634/182,7704/5188 is 214/472108
Least Common Multiple of 182,5188 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 182,5188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,5188) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(182,5188) x common factors =2 x 1 = 2
LCM(182,5188) = ( 182 × 5188 ) / 2
LCM(182,5188) = 944216 / 2
LCM(182,5188) = 472108
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FAQs on GCF of Fractions of 6634/182, 7704/5188
1. What is the HCF of 6634,7704?
The HCF of 6634,7704 is 214
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 6634/182, 7704/5188?
Answer: GCF of Numerators as per given numbers 6634/182, 7704/5188 is
GCF of Numerators i.e. for 6634,7704 is 214
LCM of denominators i.e. for 182,5188 is 472108.
Thus, GCF of Fractions is 214/472108.Finally, GCF of Fractions for 6634/182, 7704/5188 is 214/472108.