GCF of 2560/640, 5282/6892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2560/640, 5282/6892 i.e 2/1102720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2560/640, 5282/6892.
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 2560/640,5282/6892?
Given fractions are 2560/640,5282/6892
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 2560/640,5282/6892, numerators are 2560,5282
Denominators are 640,6892
The GCF of 2560,5282 is 2 .
LCM of 640,6892 is 1102720.
The greatest common factor of 2560/640,5282/6892 = [GCF of 2560,5282]/[LCM of 640,6892]= 2/1102720
Therefore, the GCF of 2560/640,5282/6892 is 2/1102720.
To find the highest common factor of 2560,5282, we have to find the factors of both numbers and list the highest common factor.
The factors of 2560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1280, 2560
The factors of 5282 are 1, 2, 19, 38, 139, 278, 2641, 5282
The HCF of 2560,5282 is 2.
Lets's calculate GCF of 2560,5282
| 2 | 2560, 5282 |
| 1280, 2641 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2560,5282 By Matching Biggest Common Factor Method
Now, list down the factors of 2560
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1280,2560
Now, list down the factors of 5282
:1,2,19,38,139,278,2641,5282
Greatest Common Factor
We found the factors 2560,5282 . The biggest common factor number is the GCF number.
So the greatest common factor 2560,5282 is 2.
Lets's calculate LCM of 640,6892
| 2 | 640, 6892 |
| 2 | 320, 3446 |
| 160, 1723 |
∴ So the LCM of the given numbers is 2 x 2 x 160 x 1723 = 1102720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1102720
Therefore, the GCF of Fractions 2560/640,5282/6892 is 2/1102720
Least Common Multiple of 640,6892 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 640,6892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,6892) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(640,6892) x common factors =4 x 1 = 4
LCM(640,6892) = ( 640 × 6892 ) / 4
LCM(640,6892) = 4410880 / 4
LCM(640,6892) = 1102720
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2560/640, 5282/6892
1. What is the HCF of 2560,5282?
The HCF of 2560,5282 is 2
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 2560/640, 5282/6892?
Answer: GCF of Numerators as per given numbers 2560/640, 5282/6892 is
GCF of Numerators i.e. for 2560,5282 is 2
LCM of denominators i.e. for 640,6892 is 1102720.
Thus, GCF of Fractions is 2/1102720.Finally, GCF of Fractions for 2560/640, 5282/6892 is 2/1102720.