GCF of 7870/220, 8000/9008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7870/220, 8000/9008 i.e 10/495440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7870/220, 8000/9008.
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 7870/220,8000/9008?
Given fractions are 7870/220,8000/9008
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 7870/220,8000/9008, numerators are 7870,8000
Denominators are 220,9008
The GCF of 7870,8000 is 10 .
LCM of 220,9008 is 495440.
The greatest common factor of 7870/220,8000/9008 = [GCF of 7870,8000]/[LCM of 220,9008]= 10/495440
Therefore, the GCF of 7870/220,8000/9008 is 10/495440.
To find the highest common factor of 7870,8000, we have to find the factors of both numbers and list the highest common factor.
The factors of 7870 are 1, 2, 5, 10, 787, 1574, 3935, 7870
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 7870,8000 is 10.
Lets's calculate GCF of 7870,8000
| 2 | 7870, 8000 |
| 5 | 3935, 4000 |
| 787, 800 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7870,8000 By Matching Biggest Common Factor Method
Now, list down the factors of 7870
:1,2,5,10,787,1574,3935,7870
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 7870,8000 . The biggest common factor number is the GCF number.
So the greatest common factor 7870,8000 is 10.
Lets's calculate LCM of 220,9008
| 2 | 220, 9008 |
| 2 | 110, 4504 |
| 55, 2252 |
∴ So the LCM of the given numbers is 2 x 2 x 55 x 2252 = 495440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/495440
Therefore, the GCF of Fractions 7870/220,8000/9008 is 10/495440
Least Common Multiple of 220,9008 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 220,9008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,9008) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(220,9008) x common factors =4 x 1 = 4
LCM(220,9008) = ( 220 × 9008 ) / 4
LCM(220,9008) = 1981760 / 4
LCM(220,9008) = 495440
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FAQs on GCF of Fractions of 7870/220, 8000/9008
1. What is the HCF of 7870,8000?
The HCF of 7870,8000 is 10
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 7870/220, 8000/9008?
Answer: GCF of Numerators as per given numbers 7870/220, 8000/9008 is
GCF of Numerators i.e. for 7870,8000 is 10
LCM of denominators i.e. for 220,9008 is 495440.
Thus, GCF of Fractions is 10/495440.Finally, GCF of Fractions for 7870/220, 8000/9008 is 10/495440.