GCF of 1280/748, 5552/476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1280/748, 5552/476 i.e 16/5236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1280/748, 5552/476.
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 1280/748,5552/476?
Given fractions are 1280/748,5552/476
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 1280/748,5552/476, numerators are 1280,5552
Denominators are 748,476
The GCF of 1280,5552 is 16 .
LCM of 748,476 is 5236.
The greatest common factor of 1280/748,5552/476 = [GCF of 1280,5552]/[LCM of 748,476]= 16/5236
Therefore, the GCF of 1280/748,5552/476 is 16/5236.
To find the highest common factor of 1280,5552, we have to find the factors of both numbers and list the highest common factor.
The factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280
The factors of 5552 are 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552
The HCF of 1280,5552 is 16.
Lets's calculate GCF of 1280,5552
| 2 | 1280, 5552 |
| 2 | 640, 2776 |
| 2 | 320, 1388 |
| 2 | 160, 694 |
| 80, 347 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 1280,5552 By Matching Biggest Common Factor Method
Now, list down the factors of 1280
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,640,1280
Now, list down the factors of 5552
:1,2,4,8,16,347,694,1388,2776,5552
Greatest Common Factor
We found the factors 1280,5552 . The biggest common factor number is the GCF number.
So the greatest common factor 1280,5552 is 16.
Lets's calculate LCM of 748,476
| 2 | 748, 476 |
| 2 | 374, 238 |
| 17 | 187, 119 |
| 11, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 11 x 7 = 5236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/5236
Therefore, the GCF of Fractions 1280/748,5552/476 is 16/5236
Least Common Multiple of 748,476 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 748,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,476) = 68
common factors(in case of two or more numbers have common factors) = 1
GCF(748,476) x common factors =68 x 1 = 68
LCM(748,476) = ( 748 × 476 ) / 68
LCM(748,476) = 356048 / 68
LCM(748,476) = 5236
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FAQs on GCF of Fractions of 1280/748, 5552/476
1. What is the HCF of 1280,5552?
The HCF of 1280,5552 is 16
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 1280/748, 5552/476?
Answer: GCF of Numerators as per given numbers 1280/748, 5552/476 is
GCF of Numerators i.e. for 1280,5552 is 16
LCM of denominators i.e. for 748,476 is 5236.
Thus, GCF of Fractions is 16/5236.Finally, GCF of Fractions for 1280/748, 5552/476 is 16/5236.