GCF of 6604/604, 5852/2164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6604/604, 5852/2164 i.e 4/326764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6604/604, 5852/2164.
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 6604/604,5852/2164?
Given fractions are 6604/604,5852/2164
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 6604/604,5852/2164, numerators are 6604,5852
Denominators are 604,2164
The GCF of 6604,5852 is 4 .
LCM of 604,2164 is 326764.
The greatest common factor of 6604/604,5852/2164 = [GCF of 6604,5852]/[LCM of 604,2164]= 4/326764
Therefore, the GCF of 6604/604,5852/2164 is 4/326764.
To find the highest common factor of 6604,5852, we have to find the factors of both numbers and list the highest common factor.
The factors of 6604 are 1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604
The factors of 5852 are 1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852
The HCF of 6604,5852 is 4.
Lets's calculate GCF of 6604,5852
| 2 | 6604, 5852 |
| 2 | 3302, 2926 |
| 1651, 1463 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6604,5852 By Matching Biggest Common Factor Method
Now, list down the factors of 6604
:1,2,4,13,26,52,127,254,508,1651,3302,6604
Now, list down the factors of 5852
:1,2,4,7,11,14,19,22,28,38,44,76,77,133,154,209,266,308,418,532,836,1463,2926,5852
Greatest Common Factor
We found the factors 6604,5852 . The biggest common factor number is the GCF number.
So the greatest common factor 6604,5852 is 4.
Lets's calculate LCM of 604,2164
| 2 | 604, 2164 |
| 2 | 302, 1082 |
| 151, 541 |
∴ So the LCM of the given numbers is 2 x 2 x 151 x 541 = 326764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/326764
Therefore, the GCF of Fractions 6604/604,5852/2164 is 4/326764
Least Common Multiple of 604,2164 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 604,2164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,2164) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(604,2164) x common factors =4 x 1 = 4
LCM(604,2164) = ( 604 × 2164 ) / 4
LCM(604,2164) = 1307056 / 4
LCM(604,2164) = 326764
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FAQs on GCF of Fractions of 6604/604, 5852/2164
1. What is the HCF of 6604,5852?
The HCF of 6604,5852 is 4
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 6604/604, 5852/2164?
Answer: GCF of Numerators as per given numbers 6604/604, 5852/2164 is
GCF of Numerators i.e. for 6604,5852 is 4
LCM of denominators i.e. for 604,2164 is 326764.
Thus, GCF of Fractions is 4/326764.Finally, GCF of Fractions for 6604/604, 5852/2164 is 4/326764.