GCF of 3397/257, 3815/2392
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3397/257, 3815/2392 i.e 1/614744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3397/257, 3815/2392.
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 3397/257,3815/2392?
Given fractions are 3397/257,3815/2392
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 3397/257,3815/2392, numerators are 3397,3815
Denominators are 257,2392
The GCF of 3397,3815 is 1 .
LCM of 257,2392 is 614744.
The greatest common factor of 3397/257,3815/2392 = [GCF of 3397,3815]/[LCM of 257,2392]= 1/614744
Therefore, the GCF of 3397/257,3815/2392 is 1/614744.
To find the highest common factor of 3397,3815, we have to find the factors of both numbers and list the highest common factor.
The factors of 3397 are 1, 43, 79, 3397
The factors of 3815 are 1, 5, 7, 35, 109, 545, 763, 3815
The HCF of 3397,3815 is 1.
Lets's calculate GCF of 3397,3815
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3397,3815 By Matching Biggest Common Factor Method
Now, list down the factors of 3397
:1,43,79,3397
Now, list down the factors of 3815
:1,5,7,35,109,545,763,3815
Greatest Common Factor
We found the factors 3397,3815 . The biggest common factor number is the GCF number.
So the greatest common factor 3397,3815 is 1.
Lets's calculate LCM of 257,2392
Given numbers has no common factors except 1. So, there LCM is their product i.e 614744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/614744
Therefore, the GCF of Fractions 3397/257,3815/2392 is 1/614744
Least Common Multiple of 257,2392 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 257,2392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,2392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,2392) x common factors =1 x 1 = 1
LCM(257,2392) = ( 257 × 2392 ) / 1
LCM(257,2392) = 614744 / 1
LCM(257,2392) = 614744
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3397/257, 3815/2392
1. What is the HCF of 3397,3815?
The HCF of 3397,3815 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 3397/257, 3815/2392?
Answer: GCF of Numerators as per given numbers 3397/257, 3815/2392 is
GCF of Numerators i.e. for 3397,3815 is 1
LCM of denominators i.e. for 257,2392 is 614744.
Thus, GCF of Fractions is 1/614744.Finally, GCF of Fractions for 3397/257, 3815/2392 is 1/614744.