GCF of 8472/419, 7432/9431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8472/419, 7432/9431 i.e 8/3951589 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8472/419, 7432/9431.
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 8472/419,7432/9431?
Given fractions are 8472/419,7432/9431
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 8472/419,7432/9431, numerators are 8472,7432
Denominators are 419,9431
The GCF of 8472,7432 is 8 .
LCM of 419,9431 is 3951589.
The greatest common factor of 8472/419,7432/9431 = [GCF of 8472,7432]/[LCM of 419,9431]= 8/3951589
Therefore, the GCF of 8472/419,7432/9431 is 8/3951589.
To find the highest common factor of 8472,7432, we have to find the factors of both numbers and list the highest common factor.
The factors of 8472 are 1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472
The factors of 7432 are 1, 2, 4, 8, 929, 1858, 3716, 7432
The HCF of 8472,7432 is 8.
Lets's calculate GCF of 8472,7432
| 2 | 8472, 7432 |
| 2 | 4236, 3716 |
| 2 | 2118, 1858 |
| 1059, 929 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8472,7432 By Matching Biggest Common Factor Method
Now, list down the factors of 8472
:1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472
Now, list down the factors of 7432
:1,2,4,8,929,1858,3716,7432
Greatest Common Factor
We found the factors 8472,7432 . The biggest common factor number is the GCF number.
So the greatest common factor 8472,7432 is 8.
Lets's calculate LCM of 419,9431
Given numbers has no common factors except 1. So, there LCM is their product i.e 3951589
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3951589
Therefore, the GCF of Fractions 8472/419,7432/9431 is 8/3951589
Least Common Multiple of 419,9431 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 419,9431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,9431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,9431) x common factors =1 x 1 = 1
LCM(419,9431) = ( 419 × 9431 ) / 1
LCM(419,9431) = 3951589 / 1
LCM(419,9431) = 3951589
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FAQs on GCF of Fractions of 8472/419, 7432/9431
1. What is the HCF of 8472,7432?
The HCF of 8472,7432 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 8472/419, 7432/9431?
Answer: GCF of Numerators as per given numbers 8472/419, 7432/9431 is
GCF of Numerators i.e. for 8472,7432 is 8
LCM of denominators i.e. for 419,9431 is 3951589.
Thus, GCF of Fractions is 8/3951589.Finally, GCF of Fractions for 8472/419, 7432/9431 is 8/3951589.