GCF of 7040/288, 3171/3320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7040/288, 3171/3320 i.e 1/119520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7040/288, 3171/3320.
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 7040/288,3171/3320?
Given fractions are 7040/288,3171/3320
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 7040/288,3171/3320, numerators are 7040,3171
Denominators are 288,3320
The GCF of 7040,3171 is 1 .
LCM of 288,3320 is 119520.
The greatest common factor of 7040/288,3171/3320 = [GCF of 7040,3171]/[LCM of 288,3320]= 1/119520
Therefore, the GCF of 7040/288,3171/3320 is 1/119520.
To find the highest common factor of 7040,3171, we have to find the factors of both numbers and list the highest common factor.
The factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040
The factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171
The HCF of 7040,3171 is 1.
Lets's calculate GCF of 7040,3171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7040,3171 By Matching Biggest Common Factor Method
Now, list down the factors of 7040
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040
Now, list down the factors of 3171
:1,3,7,21,151,453,1057,3171
Greatest Common Factor
We found the factors 7040,3171 . The biggest common factor number is the GCF number.
So the greatest common factor 7040,3171 is 1.
Lets's calculate LCM of 288,3320
| 2 | 288, 3320 |
| 2 | 144, 1660 |
| 2 | 72, 830 |
| 36, 415 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 36 x 415 = 119520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119520
Therefore, the GCF of Fractions 7040/288,3171/3320 is 1/119520
Least Common Multiple of 288,3320 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 288,3320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,3320) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(288,3320) x common factors =8 x 1 = 8
LCM(288,3320) = ( 288 × 3320 ) / 8
LCM(288,3320) = 956160 / 8
LCM(288,3320) = 119520
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FAQs on GCF of Fractions of 7040/288, 3171/3320
1. What is the HCF of 7040,3171?
The HCF of 7040,3171 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 7040/288, 3171/3320?
Answer: GCF of Numerators as per given numbers 7040/288, 3171/3320 is
GCF of Numerators i.e. for 7040,3171 is 1
LCM of denominators i.e. for 288,3320 is 119520.
Thus, GCF of Fractions is 1/119520.Finally, GCF of Fractions for 7040/288, 3171/3320 is 1/119520.