GCF of 2540/836, 5640/7584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2540/836, 5640/7584 i.e 20/1585056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2540/836, 5640/7584.
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 2540/836,5640/7584?
Given fractions are 2540/836,5640/7584
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 2540/836,5640/7584, numerators are 2540,5640
Denominators are 836,7584
The GCF of 2540,5640 is 20 .
LCM of 836,7584 is 1585056.
The greatest common factor of 2540/836,5640/7584 = [GCF of 2540,5640]/[LCM of 836,7584]= 20/1585056
Therefore, the GCF of 2540/836,5640/7584 is 20/1585056.
To find the highest common factor of 2540,5640, we have to find the factors of both numbers and list the highest common factor.
The factors of 2540 are 1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540
The factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640
The HCF of 2540,5640 is 20.
Lets's calculate GCF of 2540,5640
| 2 | 2540, 5640 |
| 2 | 1270, 2820 |
| 5 | 635, 1410 |
| 127, 282 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 2540,5640 By Matching Biggest Common Factor Method
Now, list down the factors of 2540
:1,2,4,5,10,20,127,254,508,635,1270,2540
Now, list down the factors of 5640
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640
Greatest Common Factor
We found the factors 2540,5640 . The biggest common factor number is the GCF number.
So the greatest common factor 2540,5640 is 20.
Lets's calculate LCM of 836,7584
| 2 | 836, 7584 |
| 2 | 418, 3792 |
| 209, 1896 |
∴ So the LCM of the given numbers is 2 x 2 x 209 x 1896 = 1585056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1585056
Therefore, the GCF of Fractions 2540/836,5640/7584 is 20/1585056
Least Common Multiple of 836,7584 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 836,7584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,7584) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(836,7584) x common factors =4 x 1 = 4
LCM(836,7584) = ( 836 × 7584 ) / 4
LCM(836,7584) = 6340224 / 4
LCM(836,7584) = 1585056
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2540/836, 5640/7584
1. What is the HCF of 2540,5640?
The HCF of 2540,5640 is 20
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 2540/836, 5640/7584?
Answer: GCF of Numerators as per given numbers 2540/836, 5640/7584 is
GCF of Numerators i.e. for 2540,5640 is 20
LCM of denominators i.e. for 836,7584 is 1585056.
Thus, GCF of Fractions is 20/1585056.Finally, GCF of Fractions for 2540/836, 5640/7584 is 20/1585056.