GCF of 9536/530, 7000/2420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9536/530, 7000/2420 i.e 8/128260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9536/530, 7000/2420.
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 9536/530,7000/2420?
Given fractions are 9536/530,7000/2420
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 9536/530,7000/2420, numerators are 9536,7000
Denominators are 530,2420
The GCF of 9536,7000 is 8 .
LCM of 530,2420 is 128260.
The greatest common factor of 9536/530,7000/2420 = [GCF of 9536,7000]/[LCM of 530,2420]= 8/128260
Therefore, the GCF of 9536/530,7000/2420 is 8/128260.
To find the highest common factor of 9536,7000, we have to find the factors of both numbers and list the highest common factor.
The factors of 9536 are 1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536
The factors of 7000 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000
The HCF of 9536,7000 is 8.
Lets's calculate GCF of 9536,7000
| 2 | 9536, 7000 |
| 2 | 4768, 3500 |
| 2 | 2384, 1750 |
| 1192, 875 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9536,7000 By Matching Biggest Common Factor Method
Now, list down the factors of 9536
:1,2,4,8,16,32,64,149,298,596,1192,2384,4768,9536
Now, list down the factors of 7000
:1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000
Greatest Common Factor
We found the factors 9536,7000 . The biggest common factor number is the GCF number.
So the greatest common factor 9536,7000 is 8.
Lets's calculate LCM of 530,2420
| 2 | 530, 2420 |
| 5 | 265, 1210 |
| 53, 242 |
∴ So the LCM of the given numbers is 2 x 5 x 53 x 242 = 128260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/128260
Therefore, the GCF of Fractions 9536/530,7000/2420 is 8/128260
Least Common Multiple of 530,2420 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 530,2420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,2420) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(530,2420) x common factors =10 x 1 = 10
LCM(530,2420) = ( 530 × 2420 ) / 10
LCM(530,2420) = 1282600 / 10
LCM(530,2420) = 128260
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FAQs on GCF of Fractions of 9536/530, 7000/2420
1. What is the HCF of 9536,7000?
The HCF of 9536,7000 is 8
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 9536/530, 7000/2420?
Answer: GCF of Numerators as per given numbers 9536/530, 7000/2420 is
GCF of Numerators i.e. for 9536,7000 is 8
LCM of denominators i.e. for 530,2420 is 128260.
Thus, GCF of Fractions is 8/128260.Finally, GCF of Fractions for 9536/530, 7000/2420 is 8/128260.