GCF of 1362/215, 8960/3281
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1362/215, 8960/3281 i.e 2/705415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1362/215, 8960/3281.
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 1362/215,8960/3281?
Given fractions are 1362/215,8960/3281
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 1362/215,8960/3281, numerators are 1362,8960
Denominators are 215,3281
The GCF of 1362,8960 is 2 .
LCM of 215,3281 is 705415.
The greatest common factor of 1362/215,8960/3281 = [GCF of 1362,8960]/[LCM of 215,3281]= 2/705415
Therefore, the GCF of 1362/215,8960/3281 is 2/705415.
To find the highest common factor of 1362,8960, we have to find the factors of both numbers and list the highest common factor.
The factors of 1362 are 1, 2, 3, 6, 227, 454, 681, 1362
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 1362,8960 is 2.
Lets's calculate GCF of 1362,8960
| 2 | 1362, 8960 |
| 681, 4480 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1362,8960 By Matching Biggest Common Factor Method
Now, list down the factors of 1362
:1,2,3,6,227,454,681,1362
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 1362,8960 . The biggest common factor number is the GCF number.
So the greatest common factor 1362,8960 is 2.
Lets's calculate LCM of 215,3281
Given numbers has no common factors except 1. So, there LCM is their product i.e 705415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/705415
Therefore, the GCF of Fractions 1362/215,8960/3281 is 2/705415
Least Common Multiple of 215,3281 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 215,3281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,3281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,3281) x common factors =1 x 1 = 1
LCM(215,3281) = ( 215 × 3281 ) / 1
LCM(215,3281) = 705415 / 1
LCM(215,3281) = 705415
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FAQs on GCF of Fractions of 1362/215, 8960/3281
1. What is the HCF of 1362,8960?
The HCF of 1362,8960 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 1362/215, 8960/3281?
Answer: GCF of Numerators as per given numbers 1362/215, 8960/3281 is
GCF of Numerators i.e. for 1362,8960 is 2
LCM of denominators i.e. for 215,3281 is 705415.
Thus, GCF of Fractions is 2/705415.Finally, GCF of Fractions for 1362/215, 8960/3281 is 2/705415.