GCF of 324/903, 734/718, 745/581
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 324/903, 734/718, 745/581 i.e 1/53813382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/903, 734/718, 745/581.
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 324/903,734/718,745/581?
Given fractions are 324/903,734/718,745/581
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 324/903,734/718,745/581, numerators are 324,734,745
Denominators are 903,718,581
The GCF of 324,734,745 is 1 .
LCM of 903,718,581 is 53813382.
The greatest common factor of 324/903,734/718,745/581 = [GCF of 324,734,745]/[LCM of 903,718,581]= 1/53813382
Therefore, the GCF of 324/903,734/718,745/581 is 1/53813382.
To find the highest common factor of 324,734,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
The factors of 734 are 1, 2, 367, 734
The factors of 745 are 1, 5, 149, 745
The HCF of 324,734,745 is 1.
Lets's calculate GCF of 324,734,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 324,734,745 By Matching Biggest Common Factor Method
Now, list down the factors of 324
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Now, list down the factors of 734
:1,2,367,734
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 324,734,745 . The biggest common factor number is the GCF number.
So the greatest common factor 324,734,745 is 1.
Lets's calculate LCM of 903,718,581
| 7 | 903, 718, 581 |
| 129, 718, 83 |
∴ So the LCM of the given numbers is 7 x 129 x 718 x 83 = 53813382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53813382
Therefore, the GCF of Fractions 324/903,734/718,745/581 is 1/53813382
Least Common Multiple of 903,718,581 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 903,718,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,718,581) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(903,718,581) x common factors =1 x 7 = 7
LCM(903,718,581) = ( 903 × 718 × 581 ) / 7
LCM(903,718,581) = 376693674 / 7
LCM(903,718,581) = 53813382
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 324/903, 734/718, 745/581
1. What is the HCF of 324,734,745?
The HCF of 324,734,745 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 324/903, 734/718, 745/581?
Answer: GCF of Numerators as per given numbers 324/903, 734/718, 745/581 is
GCF of Numerators i.e. for 324,734,745 is 1
LCM of denominators i.e. for 903,718,581 is 53813382.
Thus, GCF of Fractions is 1/53813382.Finally, GCF of Fractions for 324/903, 734/718, 745/581 is 1/53813382.