GCF of 2403/822, 6670/8414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2403/822, 6670/8414 i.e 1/3458154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2403/822, 6670/8414.
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 2403/822,6670/8414?
Given fractions are 2403/822,6670/8414
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 2403/822,6670/8414, numerators are 2403,6670
Denominators are 822,8414
The GCF of 2403,6670 is 1 .
LCM of 822,8414 is 3458154.
The greatest common factor of 2403/822,6670/8414 = [GCF of 2403,6670]/[LCM of 822,8414]= 1/3458154
Therefore, the GCF of 2403/822,6670/8414 is 1/3458154.
To find the highest common factor of 2403,6670, we have to find the factors of both numbers and list the highest common factor.
The factors of 2403 are 1, 3, 9, 27, 89, 267, 801, 2403
The factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670
The HCF of 2403,6670 is 1.
Lets's calculate GCF of 2403,6670
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2403,6670 By Matching Biggest Common Factor Method
Now, list down the factors of 2403
:1,3,9,27,89,267,801,2403
Now, list down the factors of 6670
:1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Greatest Common Factor
We found the factors 2403,6670 . The biggest common factor number is the GCF number.
So the greatest common factor 2403,6670 is 1.
Lets's calculate LCM of 822,8414
| 2 | 822, 8414 |
| 411, 4207 |
∴ So the LCM of the given numbers is 2 x 411 x 4207 = 3458154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3458154
Therefore, the GCF of Fractions 2403/822,6670/8414 is 1/3458154
Least Common Multiple of 822,8414 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 822,8414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,8414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,8414) x common factors =2 x 1 = 2
LCM(822,8414) = ( 822 × 8414 ) / 2
LCM(822,8414) = 6916308 / 2
LCM(822,8414) = 3458154
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2403/822, 6670/8414
1. What is the HCF of 2403,6670?
The HCF of 2403,6670 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 2403/822, 6670/8414?
Answer: GCF of Numerators as per given numbers 2403/822, 6670/8414 is
GCF of Numerators i.e. for 2403,6670 is 1
LCM of denominators i.e. for 822,8414 is 3458154.
Thus, GCF of Fractions is 1/3458154.Finally, GCF of Fractions for 2403/822, 6670/8414 is 1/3458154.