GCF of 3657/338, 2221/2544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3657/338, 2221/2544 i.e 1/429936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3657/338, 2221/2544.
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 3657/338,2221/2544?
Given fractions are 3657/338,2221/2544
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 3657/338,2221/2544, numerators are 3657,2221
Denominators are 338,2544
The GCF of 3657,2221 is 1 .
LCM of 338,2544 is 429936.
The greatest common factor of 3657/338,2221/2544 = [GCF of 3657,2221]/[LCM of 338,2544]= 1/429936
Therefore, the GCF of 3657/338,2221/2544 is 1/429936.
To find the highest common factor of 3657,2221, we have to find the factors of both numbers and list the highest common factor.
The factors of 3657 are 1, 3, 23, 53, 69, 159, 1219, 3657
The factors of 2221 are 1, 2221
The HCF of 3657,2221 is 1.
Lets's calculate GCF of 3657,2221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3657,2221 By Matching Biggest Common Factor Method
Now, list down the factors of 3657
:1,3,23,53,69,159,1219,3657
Now, list down the factors of 2221
:1,2221
Greatest Common Factor
We found the factors 3657,2221 . The biggest common factor number is the GCF number.
So the greatest common factor 3657,2221 is 1.
Lets's calculate LCM of 338,2544
| 2 | 338, 2544 |
| 169, 1272 |
∴ So the LCM of the given numbers is 2 x 169 x 1272 = 429936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429936
Therefore, the GCF of Fractions 3657/338,2221/2544 is 1/429936
Least Common Multiple of 338,2544 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 338,2544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,2544) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(338,2544) x common factors =2 x 1 = 2
LCM(338,2544) = ( 338 × 2544 ) / 2
LCM(338,2544) = 859872 / 2
LCM(338,2544) = 429936
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FAQs on GCF of Fractions of 3657/338, 2221/2544
1. What is the HCF of 3657,2221?
The HCF of 3657,2221 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 3657/338, 2221/2544?
Answer: GCF of Numerators as per given numbers 3657/338, 2221/2544 is
GCF of Numerators i.e. for 3657,2221 is 1
LCM of denominators i.e. for 338,2544 is 429936.
Thus, GCF of Fractions is 1/429936.Finally, GCF of Fractions for 3657/338, 2221/2544 is 1/429936.