GCF of 585/498, 958/509, 162/747
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 585/498, 958/509, 162/747 i.e 1/760446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 585/498, 958/509, 162/747.
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 585/498,958/509,162/747?
Given fractions are 585/498,958/509,162/747
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 585/498,958/509,162/747, numerators are 585,958,162
Denominators are 498,509,747
The GCF of 585,958,162 is 1 .
LCM of 498,509,747 is 760446.
The greatest common factor of 585/498,958/509,162/747 = [GCF of 585,958,162]/[LCM of 498,509,747]= 1/760446
Therefore, the GCF of 585/498,958/509,162/747 is 1/760446.
To find the highest common factor of 585,958,162, we have to find the factors of both numbers and list the highest common factor.
The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
The factors of 958 are 1, 2, 479, 958
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The HCF of 585,958,162 is 1.
Lets's calculate GCF of 585,958,162
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 585,958,162 By Matching Biggest Common Factor Method
Now, list down the factors of 585
:1,3,5,9,13,15,39,45,65,117,195,585
Now, list down the factors of 958
:1,2,479,958
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 585,958,162 . The biggest common factor number is the GCF number.
So the greatest common factor 585,958,162 is 1.
Lets's calculate LCM of 498,509,747
| 3 | 498, 509, 747 |
| 83 | 166, 509, 249 |
| 2, 509, 3 |
∴ So the LCM of the given numbers is 3 x 83 x 2 x 509 x 3 = 760446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/760446
Therefore, the GCF of Fractions 585/498,958/509,162/747 is 1/760446
Least Common Multiple of 498,509,747 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 498,509,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,509,747) = 1
common factors(in case of two or more numbers have common factors) = 249
GCF(498,509,747) x common factors =1 x 249 = 249
LCM(498,509,747) = ( 498 × 509 × 747 ) / 249
LCM(498,509,747) = 189351054 / 249
LCM(498,509,747) = 760446
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FAQs on GCF of Fractions of 585/498, 958/509, 162/747
1. What is the HCF of 585,958,162?
The HCF of 585,958,162 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 585/498, 958/509, 162/747?
Answer: GCF of Numerators as per given numbers 585/498, 958/509, 162/747 is
GCF of Numerators i.e. for 585,958,162 is 1
LCM of denominators i.e. for 498,509,747 is 760446.
Thus, GCF of Fractions is 1/760446.Finally, GCF of Fractions for 585/498, 958/509, 162/747 is 1/760446.