GCF of 898/81, 619/4456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 898/81, 619/4456 i.e 1/360936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 898/81, 619/4456.
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 898/81,619/4456?
Given fractions are 898/81,619/4456
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 898/81,619/4456, numerators are 898,619
Denominators are 81,4456
The GCF of 898,619 is 1 .
LCM of 81,4456 is 360936.
The greatest common factor of 898/81,619/4456 = [GCF of 898,619]/[LCM of 81,4456]= 1/360936
Therefore, the GCF of 898/81,619/4456 is 1/360936.
To find the highest common factor of 898,619, we have to find the factors of both numbers and list the highest common factor.
The factors of 898 are 1, 2, 449, 898
The factors of 619 are 1, 619
The HCF of 898,619 is 1.
Lets's calculate GCF of 898,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 898,619 By Matching Biggest Common Factor Method
Now, list down the factors of 898
:1,2,449,898
Now, list down the factors of 619
:1,619
Greatest Common Factor
We found the factors 898,619 . The biggest common factor number is the GCF number.
So the greatest common factor 898,619 is 1.
Lets's calculate LCM of 81,4456
Given numbers has no common factors except 1. So, there LCM is their product i.e 360936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/360936
Therefore, the GCF of Fractions 898/81,619/4456 is 1/360936
Least Common Multiple of 81,4456 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 81,4456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,4456) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,4456) x common factors =1 x 1 = 1
LCM(81,4456) = ( 81 × 4456 ) / 1
LCM(81,4456) = 360936 / 1
LCM(81,4456) = 360936
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FAQs on GCF of Fractions of 898/81, 619/4456
1. What is the HCF of 898,619?
The HCF of 898,619 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 898/81, 619/4456?
Answer: GCF of Numerators as per given numbers 898/81, 619/4456 is
GCF of Numerators i.e. for 898,619 is 1
LCM of denominators i.e. for 81,4456 is 360936.
Thus, GCF of Fractions is 1/360936.Finally, GCF of Fractions for 898/81, 619/4456 is 1/360936.