GCF of 8432/313, 8672/459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8432/313, 8672/459 i.e 16/143667 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8432/313, 8672/459.
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 8432/313,8672/459?
Given fractions are 8432/313,8672/459
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 8432/313,8672/459, numerators are 8432,8672
Denominators are 313,459
The GCF of 8432,8672 is 16 .
LCM of 313,459 is 143667.
The greatest common factor of 8432/313,8672/459 = [GCF of 8432,8672]/[LCM of 313,459]= 16/143667
Therefore, the GCF of 8432/313,8672/459 is 16/143667.
To find the highest common factor of 8432,8672, we have to find the factors of both numbers and list the highest common factor.
The factors of 8432 are 1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432
The factors of 8672 are 1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672
The HCF of 8432,8672 is 16.
Lets's calculate GCF of 8432,8672
| 2 | 8432, 8672 |
| 2 | 4216, 4336 |
| 2 | 2108, 2168 |
| 2 | 1054, 1084 |
| 527, 542 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 8432,8672 By Matching Biggest Common Factor Method
Now, list down the factors of 8432
:1,2,4,8,16,17,31,34,62,68,124,136,248,272,496,527,1054,2108,4216,8432
Now, list down the factors of 8672
:1,2,4,8,16,32,271,542,1084,2168,4336,8672
Greatest Common Factor
We found the factors 8432,8672 . The biggest common factor number is the GCF number.
So the greatest common factor 8432,8672 is 16.
Lets's calculate LCM of 313,459
Given numbers has no common factors except 1. So, there LCM is their product i.e 143667
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/143667
Therefore, the GCF of Fractions 8432/313,8672/459 is 16/143667
Least Common Multiple of 313,459 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 313,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,459) x common factors =1 x 1 = 1
LCM(313,459) = ( 313 × 459 ) / 1
LCM(313,459) = 143667 / 1
LCM(313,459) = 143667
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FAQs on GCF of Fractions of 8432/313, 8672/459
1. What is the HCF of 8432,8672?
The HCF of 8432,8672 is 16
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 8432/313, 8672/459?
Answer: GCF of Numerators as per given numbers 8432/313, 8672/459 is
GCF of Numerators i.e. for 8432,8672 is 16
LCM of denominators i.e. for 313,459 is 143667.
Thus, GCF of Fractions is 16/143667.Finally, GCF of Fractions for 8432/313, 8672/459 is 16/143667.