GCF of 590/78, 222/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 590/78, 222/419 i.e 2/32682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/78, 222/419.
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 590/78,222/419?
Given fractions are 590/78,222/419
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 590/78,222/419, numerators are 590,222
Denominators are 78,419
The GCF of 590,222 is 2 .
LCM of 78,419 is 32682.
The greatest common factor of 590/78,222/419 = [GCF of 590,222]/[LCM of 78,419]= 2/32682
Therefore, the GCF of 590/78,222/419 is 2/32682.
To find the highest common factor of 590,222, we have to find the factors of both numbers and list the highest common factor.
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222
The HCF of 590,222 is 2.
Lets's calculate GCF of 590,222
| 2 | 590, 222 |
| 295, 111 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 590,222 By Matching Biggest Common Factor Method
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Now, list down the factors of 222
:1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 590,222 . The biggest common factor number is the GCF number.
So the greatest common factor 590,222 is 2.
Lets's calculate LCM of 78,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 32682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32682
Therefore, the GCF of Fractions 590/78,222/419 is 2/32682
Least Common Multiple of 78,419 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 78,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,419) x common factors =1 x 1 = 1
LCM(78,419) = ( 78 × 419 ) / 1
LCM(78,419) = 32682 / 1
LCM(78,419) = 32682
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FAQs on GCF of Fractions of 590/78, 222/419
1. What is the HCF of 590,222?
The HCF of 590,222 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 590/78, 222/419?
Answer: GCF of Numerators as per given numbers 590/78, 222/419 is
GCF of Numerators i.e. for 590,222 is 2
LCM of denominators i.e. for 78,419 is 32682.
Thus, GCF of Fractions is 2/32682.Finally, GCF of Fractions for 590/78, 222/419 is 2/32682.