GCF of 2376/262, 9372/6598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2376/262, 9372/6598 i.e 132/864338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2376/262, 9372/6598.
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 2376/262,9372/6598?
Given fractions are 2376/262,9372/6598
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 2376/262,9372/6598, numerators are 2376,9372
Denominators are 262,6598
The GCF of 2376,9372 is 132 .
LCM of 262,6598 is 864338.
The greatest common factor of 2376/262,9372/6598 = [GCF of 2376,9372]/[LCM of 262,6598]= 132/864338
Therefore, the GCF of 2376/262,9372/6598 is 132/864338.
To find the highest common factor of 2376,9372, we have to find the factors of both numbers and list the highest common factor.
The factors of 2376 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188, 2376
The factors of 9372 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372
The HCF of 2376,9372 is 132.
Lets's calculate GCF of 2376,9372
| 2 | 2376, 9372 |
| 2 | 1188, 4686 |
| 3 | 594, 2343 |
| 11 | 198, 781 |
| 18, 71 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132
Greatest Common Factor of 2376,9372 By Matching Biggest Common Factor Method
Now, list down the factors of 2376
:1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,88,99,108,132,198,216,264,297,396,594,792,1188,2376
Now, list down the factors of 9372
:1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372
Greatest Common Factor
We found the factors 2376,9372 . The biggest common factor number is the GCF number.
So the greatest common factor 2376,9372 is 132.
Lets's calculate LCM of 262,6598
| 2 | 262, 6598 |
| 131, 3299 |
∴ So the LCM of the given numbers is 2 x 131 x 3299 = 864338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 132/864338
Therefore, the GCF of Fractions 2376/262,9372/6598 is 132/864338
Least Common Multiple of 262,6598 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 262,6598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,6598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,6598) x common factors =2 x 1 = 2
LCM(262,6598) = ( 262 × 6598 ) / 2
LCM(262,6598) = 1728676 / 2
LCM(262,6598) = 864338
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2376/262, 9372/6598
1. What is the HCF of 2376,9372?
The HCF of 2376,9372 is 132
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 2376/262, 9372/6598?
Answer: GCF of Numerators as per given numbers 2376/262, 9372/6598 is
GCF of Numerators i.e. for 2376,9372 is 132
LCM of denominators i.e. for 262,6598 is 864338.
Thus, GCF of Fractions is 132/864338.Finally, GCF of Fractions for 2376/262, 9372/6598 is 132/864338.