GCF of 9011/446, 8960/1318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9011/446, 8960/1318 i.e 1/293914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9011/446, 8960/1318.
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 9011/446,8960/1318?
Given fractions are 9011/446,8960/1318
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 9011/446,8960/1318, numerators are 9011,8960
Denominators are 446,1318
The GCF of 9011,8960 is 1 .
LCM of 446,1318 is 293914.
The greatest common factor of 9011/446,8960/1318 = [GCF of 9011,8960]/[LCM of 446,1318]= 1/293914
Therefore, the GCF of 9011/446,8960/1318 is 1/293914.
To find the highest common factor of 9011,8960, we have to find the factors of both numbers and list the highest common factor.
The factors of 9011 are 1, 9011
The factors of 8960 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960
The HCF of 9011,8960 is 1.
Lets's calculate GCF of 9011,8960
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9011,8960 By Matching Biggest Common Factor Method
Now, list down the factors of 9011
:1,9011
Now, list down the factors of 8960
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,256,280,320,448,560,640,896,1120,1280,1792,2240,4480,8960
Greatest Common Factor
We found the factors 9011,8960 . The biggest common factor number is the GCF number.
So the greatest common factor 9011,8960 is 1.
Lets's calculate LCM of 446,1318
| 2 | 446, 1318 |
| 223, 659 |
∴ So the LCM of the given numbers is 2 x 223 x 659 = 293914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293914
Therefore, the GCF of Fractions 9011/446,8960/1318 is 1/293914
Least Common Multiple of 446,1318 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 446,1318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,1318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,1318) x common factors =2 x 1 = 2
LCM(446,1318) = ( 446 × 1318 ) / 2
LCM(446,1318) = 587828 / 2
LCM(446,1318) = 293914
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FAQs on GCF of Fractions of 9011/446, 8960/1318
1. What is the HCF of 9011,8960?
The HCF of 9011,8960 is 1
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 9011/446, 8960/1318?
Answer: GCF of Numerators as per given numbers 9011/446, 8960/1318 is
GCF of Numerators i.e. for 9011,8960 is 1
LCM of denominators i.e. for 446,1318 is 293914.
Thus, GCF of Fractions is 1/293914.Finally, GCF of Fractions for 9011/446, 8960/1318 is 1/293914.