GCF of 2310/922, 2640/4548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2310/922, 2640/4548 i.e 330/2096628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2310/922, 2640/4548.
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 2310/922,2640/4548?
Given fractions are 2310/922,2640/4548
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 2310/922,2640/4548, numerators are 2310,2640
Denominators are 922,4548
The GCF of 2310,2640 is 330 .
LCM of 922,4548 is 2096628.
The greatest common factor of 2310/922,2640/4548 = [GCF of 2310,2640]/[LCM of 922,4548]= 330/2096628
Therefore, the GCF of 2310/922,2640/4548 is 330/2096628.
To find the highest common factor of 2310,2640, we have to find the factors of both numbers and list the highest common factor.
The factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310
The factors of 2640 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640
The HCF of 2310,2640 is 330.
Lets's calculate GCF of 2310,2640
| 2 | 2310, 2640 |
| 3 | 1155, 1320 |
| 5 | 385, 440 |
| 11 | 77, 88 |
| 7, 8 |
∴ So the GCF of the given numbers is 2 x 3 x 5 x 11 = 330
Greatest Common Factor of 2310,2640 By Matching Biggest Common Factor Method
Now, list down the factors of 2310
:1,2,3,5,6,7,10,11,14,15,21,22,30,33,35,42,55,66,70,77,105,110,154,165,210,231,330,385,462,770,1155,2310
Now, list down the factors of 2640
:1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640
Greatest Common Factor
We found the factors 2310,2640 . The biggest common factor number is the GCF number.
So the greatest common factor 2310,2640 is 330.
Lets's calculate LCM of 922,4548
| 2 | 922, 4548 |
| 461, 2274 |
∴ So the LCM of the given numbers is 2 x 461 x 2274 = 2096628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 330/2096628
Therefore, the GCF of Fractions 2310/922,2640/4548 is 330/2096628
Least Common Multiple of 922,4548 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 922,4548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,4548) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,4548) x common factors =2 x 1 = 2
LCM(922,4548) = ( 922 × 4548 ) / 2
LCM(922,4548) = 4193256 / 2
LCM(922,4548) = 2096628
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FAQs on GCF of Fractions of 2310/922, 2640/4548
1. What is the HCF of 2310,2640?
The HCF of 2310,2640 is 330
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 2310/922, 2640/4548?
Answer: GCF of Numerators as per given numbers 2310/922, 2640/4548 is
GCF of Numerators i.e. for 2310,2640 is 330
LCM of denominators i.e. for 922,4548 is 2096628.
Thus, GCF of Fractions is 330/2096628.Finally, GCF of Fractions for 2310/922, 2640/4548 is 330/2096628.