GCF of 43/324, 451/639, 912/727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/324, 451/639, 912/727 i.e 1/16723908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/324, 451/639, 912/727.
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 43/324,451/639,912/727?
Given fractions are 43/324,451/639,912/727
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 43/324,451/639,912/727, numerators are 43,451,912
Denominators are 324,639,727
The GCF of 43,451,912 is 1 .
LCM of 324,639,727 is 16723908.
The greatest common factor of 43/324,451/639,912/727 = [GCF of 43,451,912]/[LCM of 324,639,727]= 1/16723908
Therefore, the GCF of 43/324,451/639,912/727 is 1/16723908.
To find the highest common factor of 43,451,912, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 451 are 1, 11, 41, 451
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The HCF of 43,451,912 is 1.
Lets's calculate GCF of 43,451,912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,451,912 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 451
:1,11,41,451
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 43,451,912 . The biggest common factor number is the GCF number.
So the greatest common factor 43,451,912 is 1.
Lets's calculate LCM of 324,639,727
| 3 | 324, 639, 727 |
| 3 | 108, 213, 727 |
| 36, 71, 727 |
∴ So the LCM of the given numbers is 3 x 3 x 36 x 71 x 727 = 16723908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16723908
Therefore, the GCF of Fractions 43/324,451/639,912/727 is 1/16723908
Least Common Multiple of 324,639,727 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 324,639,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,639,727) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(324,639,727) x common factors =1 x 9 = 9
LCM(324,639,727) = ( 324 × 639 × 727 ) / 9
LCM(324,639,727) = 150515172 / 9
LCM(324,639,727) = 16723908
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FAQs on GCF of Fractions of 43/324, 451/639, 912/727
1. What is the HCF of 43,451,912?
The HCF of 43,451,912 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 43/324, 451/639, 912/727?
Answer: GCF of Numerators as per given numbers 43/324, 451/639, 912/727 is
GCF of Numerators i.e. for 43,451,912 is 1
LCM of denominators i.e. for 324,639,727 is 16723908.
Thus, GCF of Fractions is 1/16723908.Finally, GCF of Fractions for 43/324, 451/639, 912/727 is 1/16723908.