GCF of 3669/377, 5585/3609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3669/377, 5585/3609 i.e 1/1360593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3669/377, 5585/3609.
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 3669/377,5585/3609?
Given fractions are 3669/377,5585/3609
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 3669/377,5585/3609, numerators are 3669,5585
Denominators are 377,3609
The GCF of 3669,5585 is 1 .
LCM of 377,3609 is 1360593.
The greatest common factor of 3669/377,5585/3609 = [GCF of 3669,5585]/[LCM of 377,3609]= 1/1360593
Therefore, the GCF of 3669/377,5585/3609 is 1/1360593.
To find the highest common factor of 3669,5585, we have to find the factors of both numbers and list the highest common factor.
The factors of 3669 are 1, 3, 1223, 3669
The factors of 5585 are 1, 5, 1117, 5585
The HCF of 3669,5585 is 1.
Lets's calculate GCF of 3669,5585
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3669,5585 By Matching Biggest Common Factor Method
Now, list down the factors of 3669
:1,3,1223,3669
Now, list down the factors of 5585
:1,5,1117,5585
Greatest Common Factor
We found the factors 3669,5585 . The biggest common factor number is the GCF number.
So the greatest common factor 3669,5585 is 1.
Lets's calculate LCM of 377,3609
Given numbers has no common factors except 1. So, there LCM is their product i.e 1360593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1360593
Therefore, the GCF of Fractions 3669/377,5585/3609 is 1/1360593
Least Common Multiple of 377,3609 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 377,3609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,3609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,3609) x common factors =1 x 1 = 1
LCM(377,3609) = ( 377 × 3609 ) / 1
LCM(377,3609) = 1360593 / 1
LCM(377,3609) = 1360593
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FAQs on GCF of Fractions of 3669/377, 5585/3609
1. What is the HCF of 3669,5585?
The HCF of 3669,5585 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 3669/377, 5585/3609?
Answer: GCF of Numerators as per given numbers 3669/377, 5585/3609 is
GCF of Numerators i.e. for 3669,5585 is 1
LCM of denominators i.e. for 377,3609 is 1360593.
Thus, GCF of Fractions is 1/1360593.Finally, GCF of Fractions for 3669/377, 5585/3609 is 1/1360593.