GCF of 3554/586, 6567/8418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3554/586, 6567/8418 i.e 1/2466474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3554/586, 6567/8418.
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 3554/586,6567/8418?
Given fractions are 3554/586,6567/8418
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 3554/586,6567/8418, numerators are 3554,6567
Denominators are 586,8418
The GCF of 3554,6567 is 1 .
LCM of 586,8418 is 2466474.
The greatest common factor of 3554/586,6567/8418 = [GCF of 3554,6567]/[LCM of 586,8418]= 1/2466474
Therefore, the GCF of 3554/586,6567/8418 is 1/2466474.
To find the highest common factor of 3554,6567, we have to find the factors of both numbers and list the highest common factor.
The factors of 3554 are 1, 2, 1777, 3554
The factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567
The HCF of 3554,6567 is 1.
Lets's calculate GCF of 3554,6567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3554,6567 By Matching Biggest Common Factor Method
Now, list down the factors of 3554
:1,2,1777,3554
Now, list down the factors of 6567
:1,3,11,33,199,597,2189,6567
Greatest Common Factor
We found the factors 3554,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 3554,6567 is 1.
Lets's calculate LCM of 586,8418
| 2 | 586, 8418 |
| 293, 4209 |
∴ So the LCM of the given numbers is 2 x 293 x 4209 = 2466474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2466474
Therefore, the GCF of Fractions 3554/586,6567/8418 is 1/2466474
Least Common Multiple of 586,8418 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 586,8418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,8418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,8418) x common factors =2 x 1 = 2
LCM(586,8418) = ( 586 × 8418 ) / 2
LCM(586,8418) = 4932948 / 2
LCM(586,8418) = 2466474
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3554/586, 6567/8418
1. What is the HCF of 3554,6567?
The HCF of 3554,6567 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 3554/586, 6567/8418?
Answer: GCF of Numerators as per given numbers 3554/586, 6567/8418 is
GCF of Numerators i.e. for 3554,6567 is 1
LCM of denominators i.e. for 586,8418 is 2466474.
Thus, GCF of Fractions is 1/2466474.Finally, GCF of Fractions for 3554/586, 6567/8418 is 1/2466474.