GCF of 500/981, 567/612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 500/981, 567/612 i.e 1/66708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 500/981, 567/612.
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 500/981,567/612?
Given fractions are 500/981,567/612
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 500/981,567/612, numerators are 500,567
Denominators are 981,612
The GCF of 500,567 is 1 .
LCM of 981,612 is 66708.
The greatest common factor of 500/981,567/612 = [GCF of 500,567]/[LCM of 981,612]= 1/66708
Therefore, the GCF of 500/981,567/612 is 1/66708.
To find the highest common factor of 500,567, we have to find the factors of both numbers and list the highest common factor.
The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The HCF of 500,567 is 1.
Lets's calculate GCF of 500,567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 500,567 By Matching Biggest Common Factor Method
Now, list down the factors of 500
:1,2,4,5,10,20,25,50,100,125,250,500
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Greatest Common Factor
We found the factors 500,567 . The biggest common factor number is the GCF number.
So the greatest common factor 500,567 is 1.
Lets's calculate LCM of 981,612
| 3 | 981, 612 |
| 3 | 327, 204 |
| 109, 68 |
∴ So the LCM of the given numbers is 3 x 3 x 109 x 68 = 66708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66708
Therefore, the GCF of Fractions 500/981,567/612 is 1/66708
Least Common Multiple of 981,612 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 981,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,612) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(981,612) x common factors =9 x 1 = 9
LCM(981,612) = ( 981 × 612 ) / 9
LCM(981,612) = 600372 / 9
LCM(981,612) = 66708
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FAQs on GCF of Fractions of 500/981, 567/612
1. What is the HCF of 500,567?
The HCF of 500,567 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 500/981, 567/612?
Answer: GCF of Numerators as per given numbers 500/981, 567/612 is
GCF of Numerators i.e. for 500,567 is 1
LCM of denominators i.e. for 981,612 is 66708.
Thus, GCF of Fractions is 1/66708.Finally, GCF of Fractions for 500/981, 567/612 is 1/66708.