GCF of 621/72, 138/500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 621/72, 138/500 i.e 69/9000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 621/72, 138/500.
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 621/72,138/500?
Given fractions are 621/72,138/500
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 621/72,138/500, numerators are 621,138
Denominators are 72,500
The GCF of 621,138 is 69 .
LCM of 72,500 is 9000.
The greatest common factor of 621/72,138/500 = [GCF of 621,138]/[LCM of 72,500]= 69/9000
Therefore, the GCF of 621/72,138/500 is 69/9000.
To find the highest common factor of 621,138, we have to find the factors of both numbers and list the highest common factor.
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138
The HCF of 621,138 is 69.
Lets's calculate GCF of 621,138
| 3 | 621, 138 |
| 23 | 207, 46 |
| 9, 2 |
∴ So the GCF of the given numbers is 3 x 23 = 69
Greatest Common Factor of 621,138 By Matching Biggest Common Factor Method
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Now, list down the factors of 138
:1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 621,138 . The biggest common factor number is the GCF number.
So the greatest common factor 621,138 is 69.
Lets's calculate LCM of 72,500
| 2 | 72, 500 |
| 2 | 36, 250 |
| 18, 125 |
∴ So the LCM of the given numbers is 2 x 2 x 18 x 125 = 9000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/9000
Therefore, the GCF of Fractions 621/72,138/500 is 69/9000
Least Common Multiple of 72,500 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 72,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,500) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(72,500) x common factors =4 x 1 = 4
LCM(72,500) = ( 72 × 500 ) / 4
LCM(72,500) = 36000 / 4
LCM(72,500) = 9000
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FAQs on GCF of Fractions of 621/72, 138/500
1. What is the HCF of 621,138?
The HCF of 621,138 is 69
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 621/72, 138/500?
Answer: GCF of Numerators as per given numbers 621/72, 138/500 is
GCF of Numerators i.e. for 621,138 is 69
LCM of denominators i.e. for 72,500 is 9000.
Thus, GCF of Fractions is 69/9000.Finally, GCF of Fractions for 621/72, 138/500 is 69/9000.