GCF of 3601/209, 5761/106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3601/209, 5761/106 i.e 1/22154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3601/209, 5761/106.
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 3601/209,5761/106?
Given fractions are 3601/209,5761/106
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 3601/209,5761/106, numerators are 3601,5761
Denominators are 209,106
The GCF of 3601,5761 is 1 .
LCM of 209,106 is 22154.
The greatest common factor of 3601/209,5761/106 = [GCF of 3601,5761]/[LCM of 209,106]= 1/22154
Therefore, the GCF of 3601/209,5761/106 is 1/22154.
To find the highest common factor of 3601,5761, we have to find the factors of both numbers and list the highest common factor.
The factors of 3601 are 1, 13, 277, 3601
The factors of 5761 are 1, 7, 823, 5761
The HCF of 3601,5761 is 1.
Lets's calculate GCF of 3601,5761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3601,5761 By Matching Biggest Common Factor Method
Now, list down the factors of 3601
:1,13,277,3601
Now, list down the factors of 5761
:1,7,823,5761
Greatest Common Factor
We found the factors 3601,5761 . The biggest common factor number is the GCF number.
So the greatest common factor 3601,5761 is 1.
Lets's calculate LCM of 209,106
Given numbers has no common factors except 1. So, there LCM is their product i.e 22154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22154
Therefore, the GCF of Fractions 3601/209,5761/106 is 1/22154
Least Common Multiple of 209,106 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 209,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,106) x common factors =1 x 1 = 1
LCM(209,106) = ( 209 × 106 ) / 1
LCM(209,106) = 22154 / 1
LCM(209,106) = 22154
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FAQs on GCF of Fractions of 3601/209, 5761/106
1. What is the HCF of 3601,5761?
The HCF of 3601,5761 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 3601/209, 5761/106?
Answer: GCF of Numerators as per given numbers 3601/209, 5761/106 is
GCF of Numerators i.e. for 3601,5761 is 1
LCM of denominators i.e. for 209,106 is 22154.
Thus, GCF of Fractions is 1/22154.Finally, GCF of Fractions for 3601/209, 5761/106 is 1/22154.