GCF of 4022/219, 5864/6475
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4022/219, 5864/6475 i.e 2/1418025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4022/219, 5864/6475.
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 4022/219,5864/6475?
Given fractions are 4022/219,5864/6475
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 4022/219,5864/6475, numerators are 4022,5864
Denominators are 219,6475
The GCF of 4022,5864 is 2 .
LCM of 219,6475 is 1418025.
The greatest common factor of 4022/219,5864/6475 = [GCF of 4022,5864]/[LCM of 219,6475]= 2/1418025
Therefore, the GCF of 4022/219,5864/6475 is 2/1418025.
To find the highest common factor of 4022,5864, we have to find the factors of both numbers and list the highest common factor.
The factors of 4022 are 1, 2, 2011, 4022
The factors of 5864 are 1, 2, 4, 8, 733, 1466, 2932, 5864
The HCF of 4022,5864 is 2.
Lets's calculate GCF of 4022,5864
| 2 | 4022, 5864 |
| 2011, 2932 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4022,5864 By Matching Biggest Common Factor Method
Now, list down the factors of 4022
:1,2,2011,4022
Now, list down the factors of 5864
:1,2,4,8,733,1466,2932,5864
Greatest Common Factor
We found the factors 4022,5864 . The biggest common factor number is the GCF number.
So the greatest common factor 4022,5864 is 2.
Lets's calculate LCM of 219,6475
Given numbers has no common factors except 1. So, there LCM is their product i.e 1418025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1418025
Therefore, the GCF of Fractions 4022/219,5864/6475 is 2/1418025
Least Common Multiple of 219,6475 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 219,6475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,6475) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,6475) x common factors =1 x 1 = 1
LCM(219,6475) = ( 219 × 6475 ) / 1
LCM(219,6475) = 1418025 / 1
LCM(219,6475) = 1418025
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FAQs on GCF of Fractions of 4022/219, 5864/6475
1. What is the HCF of 4022,5864?
The HCF of 4022,5864 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 4022/219, 5864/6475?
Answer: GCF of Numerators as per given numbers 4022/219, 5864/6475 is
GCF of Numerators i.e. for 4022,5864 is 2
LCM of denominators i.e. for 219,6475 is 1418025.
Thus, GCF of Fractions is 2/1418025.Finally, GCF of Fractions for 4022/219, 5864/6475 is 2/1418025.