GCF of 2231/294, 7475/6496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2231/294, 7475/6496 i.e 23/136416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2231/294, 7475/6496.
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 2231/294,7475/6496?
Given fractions are 2231/294,7475/6496
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 2231/294,7475/6496, numerators are 2231,7475
Denominators are 294,6496
The GCF of 2231,7475 is 23 .
LCM of 294,6496 is 136416.
The greatest common factor of 2231/294,7475/6496 = [GCF of 2231,7475]/[LCM of 294,6496]= 23/136416
Therefore, the GCF of 2231/294,7475/6496 is 23/136416.
To find the highest common factor of 2231,7475, we have to find the factors of both numbers and list the highest common factor.
The factors of 2231 are 1, 23, 97, 2231
The factors of 7475 are 1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495, 7475
The HCF of 2231,7475 is 23.
Lets's calculate GCF of 2231,7475
| 23 | 2231, 7475 |
| 97, 325 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 2231,7475 By Matching Biggest Common Factor Method
Now, list down the factors of 2231
:1,23,97,2231
Now, list down the factors of 7475
:1,5,13,23,25,65,115,299,325,575,1495,7475
Greatest Common Factor
We found the factors 2231,7475 . The biggest common factor number is the GCF number.
So the greatest common factor 2231,7475 is 23.
Lets's calculate LCM of 294,6496
| 2 | 294, 6496 |
| 7 | 147, 3248 |
| 21, 464 |
∴ So the LCM of the given numbers is 2 x 7 x 21 x 464 = 136416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/136416
Therefore, the GCF of Fractions 2231/294,7475/6496 is 23/136416
Least Common Multiple of 294,6496 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 294,6496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,6496) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(294,6496) x common factors =14 x 1 = 14
LCM(294,6496) = ( 294 × 6496 ) / 14
LCM(294,6496) = 1909824 / 14
LCM(294,6496) = 136416
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2231/294, 7475/6496
1. What is the HCF of 2231,7475?
The HCF of 2231,7475 is 23
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 2231/294, 7475/6496?
Answer: GCF of Numerators as per given numbers 2231/294, 7475/6496 is
GCF of Numerators i.e. for 2231,7475 is 23
LCM of denominators i.e. for 294,6496 is 136416.
Thus, GCF of Fractions is 23/136416.Finally, GCF of Fractions for 2231/294, 7475/6496 is 23/136416.