GCF of 4406/180, 1242/3689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4406/180, 1242/3689 i.e 2/664020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4406/180, 1242/3689.
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 4406/180,1242/3689?
Given fractions are 4406/180,1242/3689
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 4406/180,1242/3689, numerators are 4406,1242
Denominators are 180,3689
The GCF of 4406,1242 is 2 .
LCM of 180,3689 is 664020.
The greatest common factor of 4406/180,1242/3689 = [GCF of 4406,1242]/[LCM of 180,3689]= 2/664020
Therefore, the GCF of 4406/180,1242/3689 is 2/664020.
To find the highest common factor of 4406,1242, we have to find the factors of both numbers and list the highest common factor.
The factors of 4406 are 1, 2, 2203, 4406
The factors of 1242 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, 1242
The HCF of 4406,1242 is 2.
Lets's calculate GCF of 4406,1242
| 2 | 4406, 1242 |
| 2203, 621 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4406,1242 By Matching Biggest Common Factor Method
Now, list down the factors of 4406
:1,2,2203,4406
Now, list down the factors of 1242
:1,2,3,6,9,18,23,27,46,54,69,138,207,414,621,1242
Greatest Common Factor
We found the factors 4406,1242 . The biggest common factor number is the GCF number.
So the greatest common factor 4406,1242 is 2.
Lets's calculate LCM of 180,3689
Given numbers has no common factors except 1. So, there LCM is their product i.e 664020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/664020
Therefore, the GCF of Fractions 4406/180,1242/3689 is 2/664020
Least Common Multiple of 180,3689 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 180,3689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,3689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(180,3689) x common factors =1 x 1 = 1
LCM(180,3689) = ( 180 × 3689 ) / 1
LCM(180,3689) = 664020 / 1
LCM(180,3689) = 664020
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FAQs on GCF of Fractions of 4406/180, 1242/3689
1. What is the HCF of 4406,1242?
The HCF of 4406,1242 is 2
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 4406/180, 1242/3689?
Answer: GCF of Numerators as per given numbers 4406/180, 1242/3689 is
GCF of Numerators i.e. for 4406,1242 is 2
LCM of denominators i.e. for 180,3689 is 664020.
Thus, GCF of Fractions is 2/664020.Finally, GCF of Fractions for 4406/180, 1242/3689 is 2/664020.