GCF of 4373/648, 3604/3362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4373/648, 3604/3362 i.e 1/1089288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4373/648, 3604/3362.
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 4373/648,3604/3362?
Given fractions are 4373/648,3604/3362
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 4373/648,3604/3362, numerators are 4373,3604
Denominators are 648,3362
The GCF of 4373,3604 is 1 .
LCM of 648,3362 is 1089288.
The greatest common factor of 4373/648,3604/3362 = [GCF of 4373,3604]/[LCM of 648,3362]= 1/1089288
Therefore, the GCF of 4373/648,3604/3362 is 1/1089288.
To find the highest common factor of 4373,3604, we have to find the factors of both numbers and list the highest common factor.
The factors of 4373 are 1, 4373
The factors of 3604 are 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604
The HCF of 4373,3604 is 1.
Lets's calculate GCF of 4373,3604
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4373,3604 By Matching Biggest Common Factor Method
Now, list down the factors of 4373
:1,4373
Now, list down the factors of 3604
:1,2,4,17,34,53,68,106,212,901,1802,3604
Greatest Common Factor
We found the factors 4373,3604 . The biggest common factor number is the GCF number.
So the greatest common factor 4373,3604 is 1.
Lets's calculate LCM of 648,3362
| 2 | 648, 3362 |
| 324, 1681 |
∴ So the LCM of the given numbers is 2 x 324 x 1681 = 1089288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1089288
Therefore, the GCF of Fractions 4373/648,3604/3362 is 1/1089288
Least Common Multiple of 648,3362 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 648,3362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,3362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(648,3362) x common factors =2 x 1 = 2
LCM(648,3362) = ( 648 × 3362 ) / 2
LCM(648,3362) = 2178576 / 2
LCM(648,3362) = 1089288
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FAQs on GCF of Fractions of 4373/648, 3604/3362
1. What is the HCF of 4373,3604?
The HCF of 4373,3604 is 1
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 4373/648, 3604/3362?
Answer: GCF of Numerators as per given numbers 4373/648, 3604/3362 is
GCF of Numerators i.e. for 4373,3604 is 1
LCM of denominators i.e. for 648,3362 is 1089288.
Thus, GCF of Fractions is 1/1089288.Finally, GCF of Fractions for 4373/648, 3604/3362 is 1/1089288.