GCF of 3482/665, 4109/155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3482/665, 4109/155 i.e 1/20615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3482/665, 4109/155.
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 3482/665,4109/155?
Given fractions are 3482/665,4109/155
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 3482/665,4109/155, numerators are 3482,4109
Denominators are 665,155
The GCF of 3482,4109 is 1 .
LCM of 665,155 is 20615.
The greatest common factor of 3482/665,4109/155 = [GCF of 3482,4109]/[LCM of 665,155]= 1/20615
Therefore, the GCF of 3482/665,4109/155 is 1/20615.
To find the highest common factor of 3482,4109, we have to find the factors of both numbers and list the highest common factor.
The factors of 3482 are 1, 2, 1741, 3482
The factors of 4109 are 1, 7, 587, 4109
The HCF of 3482,4109 is 1.
Lets's calculate GCF of 3482,4109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3482,4109 By Matching Biggest Common Factor Method
Now, list down the factors of 3482
:1,2,1741,3482
Now, list down the factors of 4109
:1,7,587,4109
Greatest Common Factor
We found the factors 3482,4109 . The biggest common factor number is the GCF number.
So the greatest common factor 3482,4109 is 1.
Lets's calculate LCM of 665,155
| 5 | 665, 155 |
| 133, 31 |
∴ So the LCM of the given numbers is 5 x 133 x 31 = 20615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20615
Therefore, the GCF of Fractions 3482/665,4109/155 is 1/20615
Least Common Multiple of 665,155 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 665,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,155) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(665,155) x common factors =5 x 1 = 5
LCM(665,155) = ( 665 × 155 ) / 5
LCM(665,155) = 103075 / 5
LCM(665,155) = 20615
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FAQs on GCF of Fractions of 3482/665, 4109/155
1. What is the HCF of 3482,4109?
The HCF of 3482,4109 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 3482/665, 4109/155?
Answer: GCF of Numerators as per given numbers 3482/665, 4109/155 is
GCF of Numerators i.e. for 3482,4109 is 1
LCM of denominators i.e. for 665,155 is 20615.
Thus, GCF of Fractions is 1/20615.Finally, GCF of Fractions for 3482/665, 4109/155 is 1/20615.