GCF of 5178/184, 6507/476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5178/184, 6507/476 i.e 3/21896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5178/184, 6507/476.
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 5178/184,6507/476?
Given fractions are 5178/184,6507/476
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 5178/184,6507/476, numerators are 5178,6507
Denominators are 184,476
The GCF of 5178,6507 is 3 .
LCM of 184,476 is 21896.
The greatest common factor of 5178/184,6507/476 = [GCF of 5178,6507]/[LCM of 184,476]= 3/21896
Therefore, the GCF of 5178/184,6507/476 is 3/21896.
To find the highest common factor of 5178,6507, we have to find the factors of both numbers and list the highest common factor.
The factors of 5178 are 1, 2, 3, 6, 863, 1726, 2589, 5178
The factors of 6507 are 1, 3, 9, 27, 241, 723, 2169, 6507
The HCF of 5178,6507 is 3.
Lets's calculate GCF of 5178,6507
| 3 | 5178, 6507 |
| 1726, 2169 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5178,6507 By Matching Biggest Common Factor Method
Now, list down the factors of 5178
:1,2,3,6,863,1726,2589,5178
Now, list down the factors of 6507
:1,3,9,27,241,723,2169,6507
Greatest Common Factor
We found the factors 5178,6507 . The biggest common factor number is the GCF number.
So the greatest common factor 5178,6507 is 3.
Lets's calculate LCM of 184,476
| 2 | 184, 476 |
| 2 | 92, 238 |
| 46, 119 |
∴ So the LCM of the given numbers is 2 x 2 x 46 x 119 = 21896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/21896
Therefore, the GCF of Fractions 5178/184,6507/476 is 3/21896
Least Common Multiple of 184,476 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 184,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,476) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(184,476) x common factors =4 x 1 = 4
LCM(184,476) = ( 184 × 476 ) / 4
LCM(184,476) = 87584 / 4
LCM(184,476) = 21896
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FAQs on GCF of Fractions of 5178/184, 6507/476
1. What is the HCF of 5178,6507?
The HCF of 5178,6507 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 5178/184, 6507/476?
Answer: GCF of Numerators as per given numbers 5178/184, 6507/476 is
GCF of Numerators i.e. for 5178,6507 is 3
LCM of denominators i.e. for 184,476 is 21896.
Thus, GCF of Fractions is 3/21896.Finally, GCF of Fractions for 5178/184, 6507/476 is 3/21896.