GCF of 3582/126, 4121/2646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3582/126, 4121/2646 i.e 1/2646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3582/126, 4121/2646.
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 3582/126,4121/2646?
Given fractions are 3582/126,4121/2646
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 3582/126,4121/2646, numerators are 3582,4121
Denominators are 126,2646
The GCF of 3582,4121 is 1 .
LCM of 126,2646 is 2646.
The greatest common factor of 3582/126,4121/2646 = [GCF of 3582,4121]/[LCM of 126,2646]= 1/2646
Therefore, the GCF of 3582/126,4121/2646 is 1/2646.
To find the highest common factor of 3582,4121, we have to find the factors of both numbers and list the highest common factor.
The factors of 3582 are 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, 3582
The factors of 4121 are 1, 13, 317, 4121
The HCF of 3582,4121 is 1.
Lets's calculate GCF of 3582,4121
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3582,4121 By Matching Biggest Common Factor Method
Now, list down the factors of 3582
:1,2,3,6,9,18,199,398,597,1194,1791,3582
Now, list down the factors of 4121
:1,13,317,4121
Greatest Common Factor
We found the factors 3582,4121 . The biggest common factor number is the GCF number.
So the greatest common factor 3582,4121 is 1.
Lets's calculate LCM of 126,2646
| 2 | 126, 2646 |
| 3 | 63, 1323 |
| 3 | 21, 441 |
| 7 | 7, 147 |
| 1, 21 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 1 x 21 = 2646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2646
Therefore, the GCF of Fractions 3582/126,4121/2646 is 1/2646
Least Common Multiple of 126,2646 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 126,2646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,2646) = 126
common factors(in case of two or more numbers have common factors) = 1
GCF(126,2646) x common factors =126 x 1 = 126
LCM(126,2646) = ( 126 × 2646 ) / 126
LCM(126,2646) = 333396 / 126
LCM(126,2646) = 2646
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3582/126, 4121/2646
1. What is the HCF of 3582,4121?
The HCF of 3582,4121 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 3582/126, 4121/2646?
Answer: GCF of Numerators as per given numbers 3582/126, 4121/2646 is
GCF of Numerators i.e. for 3582,4121 is 1
LCM of denominators i.e. for 126,2646 is 2646.
Thus, GCF of Fractions is 1/2646.Finally, GCF of Fractions for 3582/126, 4121/2646 is 1/2646.