GCF of 620/459, 622/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 620/459, 622/419 i.e 2/192321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 620/459, 622/419.
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 620/459,622/419?
Given fractions are 620/459,622/419
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 620/459,622/419, numerators are 620,622
Denominators are 459,419
The GCF of 620,622 is 2 .
LCM of 459,419 is 192321.
The greatest common factor of 620/459,622/419 = [GCF of 620,622]/[LCM of 459,419]= 2/192321
Therefore, the GCF of 620/459,622/419 is 2/192321.
To find the highest common factor of 620,622, 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 622 are 1, 2, 311, 622
The HCF of 620,622 is 2.
Lets's calculate GCF of 620,622
| 2 | 620, 622 |
| 310, 311 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 620,622 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 622
:1,2,311,622
Greatest Common Factor
We found the factors 620,622 . The biggest common factor number is the GCF number.
So the greatest common factor 620,622 is 2.
Lets's calculate LCM of 459,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 192321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/192321
Therefore, the GCF of Fractions 620/459,622/419 is 2/192321
Least Common Multiple of 459,419 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 459,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,419) x common factors =1 x 1 = 1
LCM(459,419) = ( 459 × 419 ) / 1
LCM(459,419) = 192321 / 1
LCM(459,419) = 192321
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FAQs on GCF of Fractions of 620/459, 622/419
1. What is the HCF of 620,622?
The HCF of 620,622 is 2
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 620/459, 622/419?
Answer: GCF of Numerators as per given numbers 620/459, 622/419 is
GCF of Numerators i.e. for 620,622 is 2
LCM of denominators i.e. for 459,419 is 192321.
Thus, GCF of Fractions is 2/192321.Finally, GCF of Fractions for 620/459, 622/419 is 2/192321.