GCF of 8960/654, 4646/7185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8960/654, 4646/7185 i.e 2/1566330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8960/654, 4646/7185.
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 8960/654,4646/7185?
Given fractions are 8960/654,4646/7185
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 8960/654,4646/7185, numerators are 8960,4646
Denominators are 654,7185
The GCF of 8960,4646 is 2 .
LCM of 654,7185 is 1566330.
The greatest common factor of 8960/654,4646/7185 = [GCF of 8960,4646]/[LCM of 654,7185]= 2/1566330
Therefore, the GCF of 8960/654,4646/7185 is 2/1566330.
To find the highest common factor of 8960,4646, we have to find the factors of both numbers and list the highest common factor.
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 factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646
The HCF of 8960,4646 is 2.
Lets's calculate GCF of 8960,4646
| 2 | 8960, 4646 |
| 4480, 2323 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8960,4646 By Matching Biggest Common Factor Method
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
Now, list down the factors of 4646
:1,2,23,46,101,202,2323,4646
Greatest Common Factor
We found the factors 8960,4646 . The biggest common factor number is the GCF number.
So the greatest common factor 8960,4646 is 2.
Lets's calculate LCM of 654,7185
| 3 | 654, 7185 |
| 218, 2395 |
∴ So the LCM of the given numbers is 3 x 218 x 2395 = 1566330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1566330
Therefore, the GCF of Fractions 8960/654,4646/7185 is 2/1566330
Least Common Multiple of 654,7185 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 654,7185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,7185) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(654,7185) x common factors =3 x 1 = 3
LCM(654,7185) = ( 654 × 7185 ) / 3
LCM(654,7185) = 4698990 / 3
LCM(654,7185) = 1566330
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FAQs on GCF of Fractions of 8960/654, 4646/7185
1. What is the HCF of 8960,4646?
The HCF of 8960,4646 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 8960/654, 4646/7185?
Answer: GCF of Numerators as per given numbers 8960/654, 4646/7185 is
GCF of Numerators i.e. for 8960,4646 is 2
LCM of denominators i.e. for 654,7185 is 1566330.
Thus, GCF of Fractions is 2/1566330.Finally, GCF of Fractions for 8960/654, 4646/7185 is 2/1566330.