GCF of 506/439, 2484/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 506/439, 2484/687 i.e 46/301593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 506/439, 2484/687.
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 506/439,2484/687?
Given fractions are 506/439,2484/687
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 506/439,2484/687, numerators are 506,2484
Denominators are 439,687
The GCF of 506,2484 is 46 .
LCM of 439,687 is 301593.
The greatest common factor of 506/439,2484/687 = [GCF of 506,2484]/[LCM of 439,687]= 46/301593
Therefore, the GCF of 506/439,2484/687 is 46/301593.
To find the highest common factor of 506,2484, we have to find the factors of both numbers and list the highest common factor.
The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506
The factors of 2484 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108, 138, 207, 276, 414, 621, 828, 1242, 2484
The HCF of 506,2484 is 46.
Lets's calculate GCF of 506,2484
| 2 | 506, 2484 |
| 23 | 253, 1242 |
| 11, 54 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 506,2484 By Matching Biggest Common Factor Method
Now, list down the factors of 506
:1,2,11,22,23,46,253,506
Now, list down the factors of 2484
:1,2,3,4,6,9,12,18,23,27,36,46,54,69,92,108,138,207,276,414,621,828,1242,2484
Greatest Common Factor
We found the factors 506,2484 . The biggest common factor number is the GCF number.
So the greatest common factor 506,2484 is 46.
Lets's calculate LCM of 439,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 301593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/301593
Therefore, the GCF of Fractions 506/439,2484/687 is 46/301593
Least Common Multiple of 439,687 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 439,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,687) x common factors =1 x 1 = 1
LCM(439,687) = ( 439 × 687 ) / 1
LCM(439,687) = 301593 / 1
LCM(439,687) = 301593
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FAQs on GCF of Fractions of 506/439, 2484/687
1. What is the HCF of 506,2484?
The HCF of 506,2484 is 46
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 506/439, 2484/687?
Answer: GCF of Numerators as per given numbers 506/439, 2484/687 is
GCF of Numerators i.e. for 506,2484 is 46
LCM of denominators i.e. for 439,687 is 301593.
Thus, GCF of Fractions is 46/301593.Finally, GCF of Fractions for 506/439, 2484/687 is 46/301593.