GCF of 620/420, 590/250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 620/420, 590/250 i.e 10/10500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 620/420, 590/250.
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 620/420,590/250?
Given fractions are 620/420,590/250
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 620/420,590/250, numerators are 620,590
Denominators are 420,250
The GCF of 620,590 is 10 .
LCM of 420,250 is 10500.
The greatest common factor of 620/420,590/250 = [GCF of 620,590]/[LCM of 420,250]= 10/10500
Therefore, the GCF of 620/420,590/250 is 10/10500.
To find the highest common factor of 620,590, we have to find the factors of both numbers and list the highest common factor.
The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The HCF of 620,590 is 10.
Lets's calculate GCF of 620,590
| 2 | 620, 590 |
| 5 | 310, 295 |
| 62, 59 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 620,590 By Matching Biggest Common Factor Method
Now, list down the factors of 620
:1,2,4,5,10,20,31,62,124,155,310,620
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 620,590 . The biggest common factor number is the GCF number.
So the greatest common factor 620,590 is 10.
Lets's calculate LCM of 420,250
| 2 | 420, 250 |
| 5 | 210, 125 |
| 42, 25 |
∴ So the LCM of the given numbers is 2 x 5 x 42 x 25 = 10500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/10500
Therefore, the GCF of Fractions 620/420,590/250 is 10/10500
Least Common Multiple of 420,250 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 420,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,250) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(420,250) x common factors =10 x 1 = 10
LCM(420,250) = ( 420 × 250 ) / 10
LCM(420,250) = 105000 / 10
LCM(420,250) = 10500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 620/420, 590/250
1. What is the HCF of 620,590?
The HCF of 620,590 is 10
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 620/420, 590/250?
Answer: GCF of Numerators as per given numbers 620/420, 590/250 is
GCF of Numerators i.e. for 620,590 is 10
LCM of denominators i.e. for 420,250 is 10500.
Thus, GCF of Fractions is 10/10500.Finally, GCF of Fractions for 620/420, 590/250 is 10/10500.