GCF of 3594/681, 1441/4385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3594/681, 1441/4385 i.e 1/2986185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3594/681, 1441/4385.
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 3594/681,1441/4385?
Given fractions are 3594/681,1441/4385
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 3594/681,1441/4385, numerators are 3594,1441
Denominators are 681,4385
The GCF of 3594,1441 is 1 .
LCM of 681,4385 is 2986185.
The greatest common factor of 3594/681,1441/4385 = [GCF of 3594,1441]/[LCM of 681,4385]= 1/2986185
Therefore, the GCF of 3594/681,1441/4385 is 1/2986185.
To find the highest common factor of 3594,1441, we have to find the factors of both numbers and list the highest common factor.
The factors of 3594 are 1, 2, 3, 6, 599, 1198, 1797, 3594
The factors of 1441 are 1, 11, 131, 1441
The HCF of 3594,1441 is 1.
Lets's calculate GCF of 3594,1441
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3594,1441 By Matching Biggest Common Factor Method
Now, list down the factors of 3594
:1,2,3,6,599,1198,1797,3594
Now, list down the factors of 1441
:1,11,131,1441
Greatest Common Factor
We found the factors 3594,1441 . The biggest common factor number is the GCF number.
So the greatest common factor 3594,1441 is 1.
Lets's calculate LCM of 681,4385
Given numbers has no common factors except 1. So, there LCM is their product i.e 2986185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2986185
Therefore, the GCF of Fractions 3594/681,1441/4385 is 1/2986185
Least Common Multiple of 681,4385 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 681,4385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,4385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,4385) x common factors =1 x 1 = 1
LCM(681,4385) = ( 681 × 4385 ) / 1
LCM(681,4385) = 2986185 / 1
LCM(681,4385) = 2986185
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FAQs on GCF of Fractions of 3594/681, 1441/4385
1. What is the HCF of 3594,1441?
The HCF of 3594,1441 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 3594/681, 1441/4385?
Answer: GCF of Numerators as per given numbers 3594/681, 1441/4385 is
GCF of Numerators i.e. for 3594,1441 is 1
LCM of denominators i.e. for 681,4385 is 2986185.
Thus, GCF of Fractions is 1/2986185.Finally, GCF of Fractions for 3594/681, 1441/4385 is 1/2986185.