GCF of 2560/964, 1258/7598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2560/964, 1258/7598 i.e 2/3662236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2560/964, 1258/7598.
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 2560/964,1258/7598?
Given fractions are 2560/964,1258/7598
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 2560/964,1258/7598, numerators are 2560,1258
Denominators are 964,7598
The GCF of 2560,1258 is 2 .
LCM of 964,7598 is 3662236.
The greatest common factor of 2560/964,1258/7598 = [GCF of 2560,1258]/[LCM of 964,7598]= 2/3662236
Therefore, the GCF of 2560/964,1258/7598 is 2/3662236.
To find the highest common factor of 2560,1258, 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 1258 are 1, 2, 17, 34, 37, 74, 629, 1258
The HCF of 2560,1258 is 2.
Lets's calculate GCF of 2560,1258
| 2 | 2560, 1258 |
| 1280, 629 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2560,1258 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 1258
:1,2,17,34,37,74,629,1258
Greatest Common Factor
We found the factors 2560,1258 . The biggest common factor number is the GCF number.
So the greatest common factor 2560,1258 is 2.
Lets's calculate LCM of 964,7598
| 2 | 964, 7598 |
| 482, 3799 |
∴ So the LCM of the given numbers is 2 x 482 x 3799 = 3662236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3662236
Therefore, the GCF of Fractions 2560/964,1258/7598 is 2/3662236
Least Common Multiple of 964,7598 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 964,7598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,7598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(964,7598) x common factors =2 x 1 = 2
LCM(964,7598) = ( 964 × 7598 ) / 2
LCM(964,7598) = 7324472 / 2
LCM(964,7598) = 3662236
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FAQs on GCF of Fractions of 2560/964, 1258/7598
1. What is the HCF of 2560,1258?
The HCF of 2560,1258 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 2560/964, 1258/7598?
Answer: GCF of Numerators as per given numbers 2560/964, 1258/7598 is
GCF of Numerators i.e. for 2560,1258 is 2
LCM of denominators i.e. for 964,7598 is 3662236.
Thus, GCF of Fractions is 2/3662236.Finally, GCF of Fractions for 2560/964, 1258/7598 is 2/3662236.