GCF of 9008/405, 4571/702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9008/405, 4571/702 i.e 1/10530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9008/405, 4571/702.
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 9008/405,4571/702?
Given fractions are 9008/405,4571/702
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 9008/405,4571/702, numerators are 9008,4571
Denominators are 405,702
The GCF of 9008,4571 is 1 .
LCM of 405,702 is 10530.
The greatest common factor of 9008/405,4571/702 = [GCF of 9008,4571]/[LCM of 405,702]= 1/10530
Therefore, the GCF of 9008/405,4571/702 is 1/10530.
To find the highest common factor of 9008,4571, we have to find the factors of both numbers and list the highest common factor.
The factors of 9008 are 1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008
The factors of 4571 are 1, 7, 653, 4571
The HCF of 9008,4571 is 1.
Lets's calculate GCF of 9008,4571
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9008,4571 By Matching Biggest Common Factor Method
Now, list down the factors of 9008
:1,2,4,8,16,563,1126,2252,4504,9008
Now, list down the factors of 4571
:1,7,653,4571
Greatest Common Factor
We found the factors 9008,4571 . The biggest common factor number is the GCF number.
So the greatest common factor 9008,4571 is 1.
Lets's calculate LCM of 405,702
| 3 | 405, 702 |
| 3 | 135, 234 |
| 3 | 45, 78 |
| 15, 26 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 15 x 26 = 10530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10530
Therefore, the GCF of Fractions 9008/405,4571/702 is 1/10530
Least Common Multiple of 405,702 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 405,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,702) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(405,702) x common factors =27 x 1 = 27
LCM(405,702) = ( 405 × 702 ) / 27
LCM(405,702) = 284310 / 27
LCM(405,702) = 10530
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FAQs on GCF of Fractions of 9008/405, 4571/702
1. What is the HCF of 9008,4571?
The HCF of 9008,4571 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 9008/405, 4571/702?
Answer: GCF of Numerators as per given numbers 9008/405, 4571/702 is
GCF of Numerators i.e. for 9008,4571 is 1
LCM of denominators i.e. for 405,702 is 10530.
Thus, GCF of Fractions is 1/10530.Finally, GCF of Fractions for 9008/405, 4571/702 is 1/10530.