GCF of 2364/257, 3514/3324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2364/257, 3514/3324 i.e 2/854268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2364/257, 3514/3324.
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 2364/257,3514/3324?
Given fractions are 2364/257,3514/3324
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 2364/257,3514/3324, numerators are 2364,3514
Denominators are 257,3324
The GCF of 2364,3514 is 2 .
LCM of 257,3324 is 854268.
The greatest common factor of 2364/257,3514/3324 = [GCF of 2364,3514]/[LCM of 257,3324]= 2/854268
Therefore, the GCF of 2364/257,3514/3324 is 2/854268.
To find the highest common factor of 2364,3514, we have to find the factors of both numbers and list the highest common factor.
The factors of 2364 are 1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364
The factors of 3514 are 1, 2, 7, 14, 251, 502, 1757, 3514
The HCF of 2364,3514 is 2.
Lets's calculate GCF of 2364,3514
| 2 | 2364, 3514 |
| 1182, 1757 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2364,3514 By Matching Biggest Common Factor Method
Now, list down the factors of 2364
:1,2,3,4,6,12,197,394,591,788,1182,2364
Now, list down the factors of 3514
:1,2,7,14,251,502,1757,3514
Greatest Common Factor
We found the factors 2364,3514 . The biggest common factor number is the GCF number.
So the greatest common factor 2364,3514 is 2.
Lets's calculate LCM of 257,3324
Given numbers has no common factors except 1. So, there LCM is their product i.e 854268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/854268
Therefore, the GCF of Fractions 2364/257,3514/3324 is 2/854268
Least Common Multiple of 257,3324 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 257,3324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,3324) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,3324) x common factors =1 x 1 = 1
LCM(257,3324) = ( 257 × 3324 ) / 1
LCM(257,3324) = 854268 / 1
LCM(257,3324) = 854268
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2364/257, 3514/3324
1. What is the HCF of 2364,3514?
The HCF of 2364,3514 is 2
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 2364/257, 3514/3324?
Answer: GCF of Numerators as per given numbers 2364/257, 3514/3324 is
GCF of Numerators i.e. for 2364,3514 is 2
LCM of denominators i.e. for 257,3324 is 854268.
Thus, GCF of Fractions is 2/854268.Finally, GCF of Fractions for 2364/257, 3514/3324 is 2/854268.