GCF of 3350/672, 8000/110
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3350/672, 8000/110 i.e 50/36960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3350/672, 8000/110.
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 3350/672,8000/110?
Given fractions are 3350/672,8000/110
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 3350/672,8000/110, numerators are 3350,8000
Denominators are 672,110
The GCF of 3350,8000 is 50 .
LCM of 672,110 is 36960.
The greatest common factor of 3350/672,8000/110 = [GCF of 3350,8000]/[LCM of 672,110]= 50/36960
Therefore, the GCF of 3350/672,8000/110 is 50/36960.
To find the highest common factor of 3350,8000, we have to find the factors of both numbers and list the highest common factor.
The factors of 3350 are 1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350
The factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000
The HCF of 3350,8000 is 50.
Lets's calculate GCF of 3350,8000
| 2 | 3350, 8000 |
| 5 | 1675, 4000 |
| 5 | 335, 800 |
| 67, 160 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 3350,8000 By Matching Biggest Common Factor Method
Now, list down the factors of 3350
:1,2,5,10,25,50,67,134,335,670,1675,3350
Now, list down the factors of 8000
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000
Greatest Common Factor
We found the factors 3350,8000 . The biggest common factor number is the GCF number.
So the greatest common factor 3350,8000 is 50.
Lets's calculate LCM of 672,110
| 2 | 672, 110 |
| 336, 55 |
∴ So the LCM of the given numbers is 2 x 336 x 55 = 36960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/36960
Therefore, the GCF of Fractions 3350/672,8000/110 is 50/36960
Least Common Multiple of 672,110 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 672,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,110) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(672,110) x common factors =2 x 1 = 2
LCM(672,110) = ( 672 × 110 ) / 2
LCM(672,110) = 73920 / 2
LCM(672,110) = 36960
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FAQs on GCF of Fractions of 3350/672, 8000/110
1. What is the HCF of 3350,8000?
The HCF of 3350,8000 is 50
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 3350/672, 8000/110?
Answer: GCF of Numerators as per given numbers 3350/672, 8000/110 is
GCF of Numerators i.e. for 3350,8000 is 50
LCM of denominators i.e. for 672,110 is 36960.
Thus, GCF of Fractions is 50/36960.Finally, GCF of Fractions for 3350/672, 8000/110 is 50/36960.