GCF of 619/34, 219/3021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 619/34, 219/3021 i.e 1/102714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 619/34, 219/3021.
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 619/34,219/3021?
Given fractions are 619/34,219/3021
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 619/34,219/3021, numerators are 619,219
Denominators are 34,3021
The GCF of 619,219 is 1 .
LCM of 34,3021 is 102714.
The greatest common factor of 619/34,219/3021 = [GCF of 619,219]/[LCM of 34,3021]= 1/102714
Therefore, the GCF of 619/34,219/3021 is 1/102714.
To find the highest common factor of 619,219, we have to find the factors of both numbers and list the highest common factor.
The factors of 619 are 1, 619
The factors of 219 are 1, 3, 73, 219
The HCF of 619,219 is 1.
Lets's calculate GCF of 619,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 619,219 By Matching Biggest Common Factor Method
Now, list down the factors of 619
:1,619
Now, list down the factors of 219
:1,3,73,219
Greatest Common Factor
We found the factors 619,219 . The biggest common factor number is the GCF number.
So the greatest common factor 619,219 is 1.
Lets's calculate LCM of 34,3021
Given numbers has no common factors except 1. So, there LCM is their product i.e 102714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102714
Therefore, the GCF of Fractions 619/34,219/3021 is 1/102714
Least Common Multiple of 34,3021 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 34,3021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,3021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,3021) x common factors =1 x 1 = 1
LCM(34,3021) = ( 34 × 3021 ) / 1
LCM(34,3021) = 102714 / 1
LCM(34,3021) = 102714
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FAQs on GCF of Fractions of 619/34, 219/3021
1. What is the HCF of 619,219?
The HCF of 619,219 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 619/34, 219/3021?
Answer: GCF of Numerators as per given numbers 619/34, 219/3021 is
GCF of Numerators i.e. for 619,219 is 1
LCM of denominators i.e. for 34,3021 is 102714.
Thus, GCF of Fractions is 1/102714.Finally, GCF of Fractions for 619/34, 219/3021 is 1/102714.