GCF of 3490/548, 3779/218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3490/548, 3779/218 i.e 1/59732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3490/548, 3779/218.
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 3490/548,3779/218?
Given fractions are 3490/548,3779/218
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 3490/548,3779/218, numerators are 3490,3779
Denominators are 548,218
The GCF of 3490,3779 is 1 .
LCM of 548,218 is 59732.
The greatest common factor of 3490/548,3779/218 = [GCF of 3490,3779]/[LCM of 548,218]= 1/59732
Therefore, the GCF of 3490/548,3779/218 is 1/59732.
To find the highest common factor of 3490,3779, we have to find the factors of both numbers and list the highest common factor.
The factors of 3490 are 1, 2, 5, 10, 349, 698, 1745, 3490
The factors of 3779 are 1, 3779
The HCF of 3490,3779 is 1.
Lets's calculate GCF of 3490,3779
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3490,3779 By Matching Biggest Common Factor Method
Now, list down the factors of 3490
:1,2,5,10,349,698,1745,3490
Now, list down the factors of 3779
:1,3779
Greatest Common Factor
We found the factors 3490,3779 . The biggest common factor number is the GCF number.
So the greatest common factor 3490,3779 is 1.
Lets's calculate LCM of 548,218
| 2 | 548, 218 |
| 274, 109 |
∴ So the LCM of the given numbers is 2 x 274 x 109 = 59732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59732
Therefore, the GCF of Fractions 3490/548,3779/218 is 1/59732
Least Common Multiple of 548,218 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 548,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(548,218) x common factors =2 x 1 = 2
LCM(548,218) = ( 548 × 218 ) / 2
LCM(548,218) = 119464 / 2
LCM(548,218) = 59732
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3490/548, 3779/218
1. What is the HCF of 3490,3779?
The HCF of 3490,3779 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 3490/548, 3779/218?
Answer: GCF of Numerators as per given numbers 3490/548, 3779/218 is
GCF of Numerators i.e. for 3490,3779 is 1
LCM of denominators i.e. for 548,218 is 59732.
Thus, GCF of Fractions is 1/59732.Finally, GCF of Fractions for 3490/548, 3779/218 is 1/59732.