GCF of 3708/422, 2058/5274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3708/422, 2058/5274 i.e 6/1112814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3708/422, 2058/5274.
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 3708/422,2058/5274?
Given fractions are 3708/422,2058/5274
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 3708/422,2058/5274, numerators are 3708,2058
Denominators are 422,5274
The GCF of 3708,2058 is 6 .
LCM of 422,5274 is 1112814.
The greatest common factor of 3708/422,2058/5274 = [GCF of 3708,2058]/[LCM of 422,5274]= 6/1112814
Therefore, the GCF of 3708/422,2058/5274 is 6/1112814.
To find the highest common factor of 3708,2058, we have to find the factors of both numbers and list the highest common factor.
The factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708
The factors of 2058 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029, 2058
The HCF of 3708,2058 is 6.
Lets's calculate GCF of 3708,2058
| 2 | 3708, 2058 |
| 3 | 1854, 1029 |
| 618, 343 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3708,2058 By Matching Biggest Common Factor Method
Now, list down the factors of 3708
:1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708
Now, list down the factors of 2058
:1,2,3,6,7,14,21,42,49,98,147,294,343,686,1029,2058
Greatest Common Factor
We found the factors 3708,2058 . The biggest common factor number is the GCF number.
So the greatest common factor 3708,2058 is 6.
Lets's calculate LCM of 422,5274
| 2 | 422, 5274 |
| 211, 2637 |
∴ So the LCM of the given numbers is 2 x 211 x 2637 = 1112814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1112814
Therefore, the GCF of Fractions 3708/422,2058/5274 is 6/1112814
Least Common Multiple of 422,5274 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 422,5274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,5274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,5274) x common factors =2 x 1 = 2
LCM(422,5274) = ( 422 × 5274 ) / 2
LCM(422,5274) = 2225628 / 2
LCM(422,5274) = 1112814
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3708/422, 2058/5274
1. What is the HCF of 3708,2058?
The HCF of 3708,2058 is 6
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 3708/422, 2058/5274?
Answer: GCF of Numerators as per given numbers 3708/422, 2058/5274 is
GCF of Numerators i.e. for 3708,2058 is 6
LCM of denominators i.e. for 422,5274 is 1112814.
Thus, GCF of Fractions is 6/1112814.Finally, GCF of Fractions for 3708/422, 2058/5274 is 6/1112814.