GCF of 8005/570, 5470/4764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8005/570, 5470/4764 i.e 5/452580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8005/570, 5470/4764.
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 8005/570,5470/4764?
Given fractions are 8005/570,5470/4764
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 8005/570,5470/4764, numerators are 8005,5470
Denominators are 570,4764
The GCF of 8005,5470 is 5 .
LCM of 570,4764 is 452580.
The greatest common factor of 8005/570,5470/4764 = [GCF of 8005,5470]/[LCM of 570,4764]= 5/452580
Therefore, the GCF of 8005/570,5470/4764 is 5/452580.
To find the highest common factor of 8005,5470, we have to find the factors of both numbers and list the highest common factor.
The factors of 8005 are 1, 5, 1601, 8005
The factors of 5470 are 1, 2, 5, 10, 547, 1094, 2735, 5470
The HCF of 8005,5470 is 5.
Lets's calculate GCF of 8005,5470
| 5 | 8005, 5470 |
| 1601, 1094 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8005,5470 By Matching Biggest Common Factor Method
Now, list down the factors of 8005
:1,5,1601,8005
Now, list down the factors of 5470
:1,2,5,10,547,1094,2735,5470
Greatest Common Factor
We found the factors 8005,5470 . The biggest common factor number is the GCF number.
So the greatest common factor 8005,5470 is 5.
Lets's calculate LCM of 570,4764
| 2 | 570, 4764 |
| 3 | 285, 2382 |
| 95, 794 |
∴ So the LCM of the given numbers is 2 x 3 x 95 x 794 = 452580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/452580
Therefore, the GCF of Fractions 8005/570,5470/4764 is 5/452580
Least Common Multiple of 570,4764 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 570,4764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,4764) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(570,4764) x common factors =6 x 1 = 6
LCM(570,4764) = ( 570 × 4764 ) / 6
LCM(570,4764) = 2715480 / 6
LCM(570,4764) = 452580
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FAQs on GCF of Fractions of 8005/570, 5470/4764
1. What is the HCF of 8005,5470?
The HCF of 8005,5470 is 5
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 8005/570, 5470/4764?
Answer: GCF of Numerators as per given numbers 8005/570, 5470/4764 is
GCF of Numerators i.e. for 8005,5470 is 5
LCM of denominators i.e. for 570,4764 is 452580.
Thus, GCF of Fractions is 5/452580.Finally, GCF of Fractions for 8005/570, 5470/4764 is 5/452580.