GCF of 6337/393, 2454/2247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6337/393, 2454/2247 i.e 1/294357 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6337/393, 2454/2247.
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 6337/393,2454/2247?
Given fractions are 6337/393,2454/2247
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 6337/393,2454/2247, numerators are 6337,2454
Denominators are 393,2247
The GCF of 6337,2454 is 1 .
LCM of 393,2247 is 294357.
The greatest common factor of 6337/393,2454/2247 = [GCF of 6337,2454]/[LCM of 393,2247]= 1/294357
Therefore, the GCF of 6337/393,2454/2247 is 1/294357.
To find the highest common factor of 6337,2454, we have to find the factors of both numbers and list the highest common factor.
The factors of 6337 are 1, 6337
The factors of 2454 are 1, 2, 3, 6, 409, 818, 1227, 2454
The HCF of 6337,2454 is 1.
Lets's calculate GCF of 6337,2454
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6337,2454 By Matching Biggest Common Factor Method
Now, list down the factors of 6337
:1,6337
Now, list down the factors of 2454
:1,2,3,6,409,818,1227,2454
Greatest Common Factor
We found the factors 6337,2454 . The biggest common factor number is the GCF number.
So the greatest common factor 6337,2454 is 1.
Lets's calculate LCM of 393,2247
| 3 | 393, 2247 |
| 131, 749 |
∴ So the LCM of the given numbers is 3 x 131 x 749 = 294357
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294357
Therefore, the GCF of Fractions 6337/393,2454/2247 is 1/294357
Least Common Multiple of 393,2247 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 393,2247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,2247) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(393,2247) x common factors =3 x 1 = 3
LCM(393,2247) = ( 393 × 2247 ) / 3
LCM(393,2247) = 883071 / 3
LCM(393,2247) = 294357
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FAQs on GCF of Fractions of 6337/393, 2454/2247
1. What is the HCF of 6337,2454?
The HCF of 6337,2454 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 6337/393, 2454/2247?
Answer: GCF of Numerators as per given numbers 6337/393, 2454/2247 is
GCF of Numerators i.e. for 6337,2454 is 1
LCM of denominators i.e. for 393,2247 is 294357.
Thus, GCF of Fractions is 1/294357.Finally, GCF of Fractions for 6337/393, 2454/2247 is 1/294357.