GCF of 3363/924, 1259/3084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3363/924, 1259/3084 i.e 1/237468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3363/924, 1259/3084.
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 3363/924,1259/3084?
Given fractions are 3363/924,1259/3084
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 3363/924,1259/3084, numerators are 3363,1259
Denominators are 924,3084
The GCF of 3363,1259 is 1 .
LCM of 924,3084 is 237468.
The greatest common factor of 3363/924,1259/3084 = [GCF of 3363,1259]/[LCM of 924,3084]= 1/237468
Therefore, the GCF of 3363/924,1259/3084 is 1/237468.
To find the highest common factor of 3363,1259, we have to find the factors of both numbers and list the highest common factor.
The factors of 3363 are 1, 3, 19, 57, 59, 177, 1121, 3363
The factors of 1259 are 1, 1259
The HCF of 3363,1259 is 1.
Lets's calculate GCF of 3363,1259
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3363,1259 By Matching Biggest Common Factor Method
Now, list down the factors of 3363
:1,3,19,57,59,177,1121,3363
Now, list down the factors of 1259
:1,1259
Greatest Common Factor
We found the factors 3363,1259 . The biggest common factor number is the GCF number.
So the greatest common factor 3363,1259 is 1.
Lets's calculate LCM of 924,3084
| 2 | 924, 3084 |
| 2 | 462, 1542 |
| 3 | 231, 771 |
| 77, 257 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 77 x 257 = 237468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237468
Therefore, the GCF of Fractions 3363/924,1259/3084 is 1/237468
Least Common Multiple of 924,3084 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 924,3084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,3084) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(924,3084) x common factors =12 x 1 = 12
LCM(924,3084) = ( 924 × 3084 ) / 12
LCM(924,3084) = 2849616 / 12
LCM(924,3084) = 237468
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3363/924, 1259/3084
1. What is the HCF of 3363,1259?
The HCF of 3363,1259 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 3363/924, 1259/3084?
Answer: GCF of Numerators as per given numbers 3363/924, 1259/3084 is
GCF of Numerators i.e. for 3363,1259 is 1
LCM of denominators i.e. for 924,3084 is 237468.
Thus, GCF of Fractions is 1/237468.Finally, GCF of Fractions for 3363/924, 1259/3084 is 1/237468.