GCF of 3233/704, 2258/510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3233/704, 2258/510 i.e 1/179520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3233/704, 2258/510.
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 3233/704,2258/510?
Given fractions are 3233/704,2258/510
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 3233/704,2258/510, numerators are 3233,2258
Denominators are 704,510
The GCF of 3233,2258 is 1 .
LCM of 704,510 is 179520.
The greatest common factor of 3233/704,2258/510 = [GCF of 3233,2258]/[LCM of 704,510]= 1/179520
Therefore, the GCF of 3233/704,2258/510 is 1/179520.
To find the highest common factor of 3233,2258, we have to find the factors of both numbers and list the highest common factor.
The factors of 3233 are 1, 53, 61, 3233
The factors of 2258 are 1, 2, 1129, 2258
The HCF of 3233,2258 is 1.
Lets's calculate GCF of 3233,2258
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3233,2258 By Matching Biggest Common Factor Method
Now, list down the factors of 3233
:1,53,61,3233
Now, list down the factors of 2258
:1,2,1129,2258
Greatest Common Factor
We found the factors 3233,2258 . The biggest common factor number is the GCF number.
So the greatest common factor 3233,2258 is 1.
Lets's calculate LCM of 704,510
| 2 | 704, 510 |
| 352, 255 |
∴ So the LCM of the given numbers is 2 x 352 x 255 = 179520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179520
Therefore, the GCF of Fractions 3233/704,2258/510 is 1/179520
Least Common Multiple of 704,510 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 704,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,510) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(704,510) x common factors =2 x 1 = 2
LCM(704,510) = ( 704 × 510 ) / 2
LCM(704,510) = 359040 / 2
LCM(704,510) = 179520
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FAQs on GCF of Fractions of 3233/704, 2258/510
1. What is the HCF of 3233,2258?
The HCF of 3233,2258 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 3233/704, 2258/510?
Answer: GCF of Numerators as per given numbers 3233/704, 2258/510 is
GCF of Numerators i.e. for 3233,2258 is 1
LCM of denominators i.e. for 704,510 is 179520.
Thus, GCF of Fractions is 1/179520.Finally, GCF of Fractions for 3233/704, 2258/510 is 1/179520.