GCF of 3669/422, 5405/2506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3669/422, 5405/2506 i.e 1/528766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3669/422, 5405/2506.
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 3669/422,5405/2506?
Given fractions are 3669/422,5405/2506
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 3669/422,5405/2506, numerators are 3669,5405
Denominators are 422,2506
The GCF of 3669,5405 is 1 .
LCM of 422,2506 is 528766.
The greatest common factor of 3669/422,5405/2506 = [GCF of 3669,5405]/[LCM of 422,2506]= 1/528766
Therefore, the GCF of 3669/422,5405/2506 is 1/528766.
To find the highest common factor of 3669,5405, 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 5405 are 1, 5, 23, 47, 115, 235, 1081, 5405
The HCF of 3669,5405 is 1.
Lets's calculate GCF of 3669,5405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3669,5405 By Matching Biggest Common Factor Method
Now, list down the factors of 3669
:1,3,1223,3669
Now, list down the factors of 5405
:1,5,23,47,115,235,1081,5405
Greatest Common Factor
We found the factors 3669,5405 . The biggest common factor number is the GCF number.
So the greatest common factor 3669,5405 is 1.
Lets's calculate LCM of 422,2506
| 2 | 422, 2506 |
| 211, 1253 |
∴ So the LCM of the given numbers is 2 x 211 x 1253 = 528766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/528766
Therefore, the GCF of Fractions 3669/422,5405/2506 is 1/528766
Least Common Multiple of 422,2506 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 422,2506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,2506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,2506) x common factors =2 x 1 = 2
LCM(422,2506) = ( 422 × 2506 ) / 2
LCM(422,2506) = 1057532 / 2
LCM(422,2506) = 528766
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FAQs on GCF of Fractions of 3669/422, 5405/2506
1. What is the HCF of 3669,5405?
The HCF of 3669,5405 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 3669/422, 5405/2506?
Answer: GCF of Numerators as per given numbers 3669/422, 5405/2506 is
GCF of Numerators i.e. for 3669,5405 is 1
LCM of denominators i.e. for 422,2506 is 528766.
Thus, GCF of Fractions is 1/528766.Finally, GCF of Fractions for 3669/422, 5405/2506 is 1/528766.