GCF of 3359/643, 2107/5539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3359/643, 2107/5539 i.e 1/3561577 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3359/643, 2107/5539.
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 3359/643,2107/5539?
Given fractions are 3359/643,2107/5539
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 3359/643,2107/5539, numerators are 3359,2107
Denominators are 643,5539
The GCF of 3359,2107 is 1 .
LCM of 643,5539 is 3561577.
The greatest common factor of 3359/643,2107/5539 = [GCF of 3359,2107]/[LCM of 643,5539]= 1/3561577
Therefore, the GCF of 3359/643,2107/5539 is 1/3561577.
To find the highest common factor of 3359,2107, we have to find the factors of both numbers and list the highest common factor.
The factors of 3359 are 1, 3359
The factors of 2107 are 1, 7, 43, 49, 301, 2107
The HCF of 3359,2107 is 1.
Lets's calculate GCF of 3359,2107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3359,2107 By Matching Biggest Common Factor Method
Now, list down the factors of 3359
:1,3359
Now, list down the factors of 2107
:1,7,43,49,301,2107
Greatest Common Factor
We found the factors 3359,2107 . The biggest common factor number is the GCF number.
So the greatest common factor 3359,2107 is 1.
Lets's calculate LCM of 643,5539
Given numbers has no common factors except 1. So, there LCM is their product i.e 3561577
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3561577
Therefore, the GCF of Fractions 3359/643,2107/5539 is 1/3561577
Least Common Multiple of 643,5539 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 643,5539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,5539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,5539) x common factors =1 x 1 = 1
LCM(643,5539) = ( 643 × 5539 ) / 1
LCM(643,5539) = 3561577 / 1
LCM(643,5539) = 3561577
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FAQs on GCF of Fractions of 3359/643, 2107/5539
1. What is the HCF of 3359,2107?
The HCF of 3359,2107 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 3359/643, 2107/5539?
Answer: GCF of Numerators as per given numbers 3359/643, 2107/5539 is
GCF of Numerators i.e. for 3359,2107 is 1
LCM of denominators i.e. for 643,5539 is 3561577.
Thus, GCF of Fractions is 1/3561577.Finally, GCF of Fractions for 3359/643, 2107/5539 is 1/3561577.