GCF of 912/458, 5120/557
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 912/458, 5120/557 i.e 16/255106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 912/458, 5120/557.
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 912/458,5120/557?
Given fractions are 912/458,5120/557
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 912/458,5120/557, numerators are 912,5120
Denominators are 458,557
The GCF of 912,5120 is 16 .
LCM of 458,557 is 255106.
The greatest common factor of 912/458,5120/557 = [GCF of 912,5120]/[LCM of 458,557]= 16/255106
Therefore, the GCF of 912/458,5120/557 is 16/255106.
To find the highest common factor of 912,5120, we have to find the factors of both numbers and list the highest common factor.
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120
The HCF of 912,5120 is 16.
Lets's calculate GCF of 912,5120
| 2 | 912, 5120 |
| 2 | 456, 2560 |
| 2 | 228, 1280 |
| 2 | 114, 640 |
| 57, 320 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 912,5120 By Matching Biggest Common Factor Method
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Now, list down the factors of 5120
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1024,1280,2560,5120
Greatest Common Factor
We found the factors 912,5120 . The biggest common factor number is the GCF number.
So the greatest common factor 912,5120 is 16.
Lets's calculate LCM of 458,557
Given numbers has no common factors except 1. So, there LCM is their product i.e 255106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/255106
Therefore, the GCF of Fractions 912/458,5120/557 is 16/255106
Least Common Multiple of 458,557 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 458,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(458,557) x common factors =1 x 1 = 1
LCM(458,557) = ( 458 × 557 ) / 1
LCM(458,557) = 255106 / 1
LCM(458,557) = 255106
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FAQs on GCF of Fractions of 912/458, 5120/557
1. What is the HCF of 912,5120?
The HCF of 912,5120 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 912/458, 5120/557?
Answer: GCF of Numerators as per given numbers 912/458, 5120/557 is
GCF of Numerators i.e. for 912,5120 is 16
LCM of denominators i.e. for 458,557 is 255106.
Thus, GCF of Fractions is 16/255106.Finally, GCF of Fractions for 912/458, 5120/557 is 16/255106.