GCF of 3604/182, 6734/9483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3604/182, 6734/9483 i.e 2/1725906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3604/182, 6734/9483.
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 3604/182,6734/9483?
Given fractions are 3604/182,6734/9483
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 3604/182,6734/9483, numerators are 3604,6734
Denominators are 182,9483
The GCF of 3604,6734 is 2 .
LCM of 182,9483 is 1725906.
The greatest common factor of 3604/182,6734/9483 = [GCF of 3604,6734]/[LCM of 182,9483]= 2/1725906
Therefore, the GCF of 3604/182,6734/9483 is 2/1725906.
To find the highest common factor of 3604,6734, we have to find the factors of both numbers and list the highest common factor.
The factors of 3604 are 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604
The factors of 6734 are 1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734
The HCF of 3604,6734 is 2.
Lets's calculate GCF of 3604,6734
| 2 | 3604, 6734 |
| 1802, 3367 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3604,6734 By Matching Biggest Common Factor Method
Now, list down the factors of 3604
:1,2,4,17,34,53,68,106,212,901,1802,3604
Now, list down the factors of 6734
:1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734
Greatest Common Factor
We found the factors 3604,6734 . The biggest common factor number is the GCF number.
So the greatest common factor 3604,6734 is 2.
Lets's calculate LCM of 182,9483
Given numbers has no common factors except 1. So, there LCM is their product i.e 1725906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1725906
Therefore, the GCF of Fractions 3604/182,6734/9483 is 2/1725906
Least Common Multiple of 182,9483 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 182,9483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,9483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(182,9483) x common factors =1 x 1 = 1
LCM(182,9483) = ( 182 × 9483 ) / 1
LCM(182,9483) = 1725906 / 1
LCM(182,9483) = 1725906
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FAQs on GCF of Fractions of 3604/182, 6734/9483
1. What is the HCF of 3604,6734?
The HCF of 3604,6734 is 2
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 3604/182, 6734/9483?
Answer: GCF of Numerators as per given numbers 3604/182, 6734/9483 is
GCF of Numerators i.e. for 3604,6734 is 2
LCM of denominators i.e. for 182,9483 is 1725906.
Thus, GCF of Fractions is 2/1725906.Finally, GCF of Fractions for 3604/182, 6734/9483 is 2/1725906.