GCF of 8419/542, 2335/221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8419/542, 2335/221 i.e 1/119782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8419/542, 2335/221.
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 8419/542,2335/221?
Given fractions are 8419/542,2335/221
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 8419/542,2335/221, numerators are 8419,2335
Denominators are 542,221
The GCF of 8419,2335 is 1 .
LCM of 542,221 is 119782.
The greatest common factor of 8419/542,2335/221 = [GCF of 8419,2335]/[LCM of 542,221]= 1/119782
Therefore, the GCF of 8419/542,2335/221 is 1/119782.
To find the highest common factor of 8419,2335, we have to find the factors of both numbers and list the highest common factor.
The factors of 8419 are 1, 8419
The factors of 2335 are 1, 5, 467, 2335
The HCF of 8419,2335 is 1.
Lets's calculate GCF of 8419,2335
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8419,2335 By Matching Biggest Common Factor Method
Now, list down the factors of 8419
:1,8419
Now, list down the factors of 2335
:1,5,467,2335
Greatest Common Factor
We found the factors 8419,2335 . The biggest common factor number is the GCF number.
So the greatest common factor 8419,2335 is 1.
Lets's calculate LCM of 542,221
Given numbers has no common factors except 1. So, there LCM is their product i.e 119782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119782
Therefore, the GCF of Fractions 8419/542,2335/221 is 1/119782
Least Common Multiple of 542,221 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 542,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(542,221) x common factors =1 x 1 = 1
LCM(542,221) = ( 542 × 221 ) / 1
LCM(542,221) = 119782 / 1
LCM(542,221) = 119782
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FAQs on GCF of Fractions of 8419/542, 2335/221
1. What is the HCF of 8419,2335?
The HCF of 8419,2335 is 1
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 8419/542, 2335/221?
Answer: GCF of Numerators as per given numbers 8419/542, 2335/221 is
GCF of Numerators i.e. for 8419,2335 is 1
LCM of denominators i.e. for 542,221 is 119782.
Thus, GCF of Fractions is 1/119782.Finally, GCF of Fractions for 8419/542, 2335/221 is 1/119782.