GCF of 845/894, 648/919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 845/894, 648/919 i.e 1/821586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 845/894, 648/919.
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 845/894,648/919?
Given fractions are 845/894,648/919
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 845/894,648/919, numerators are 845,648
Denominators are 894,919
The GCF of 845,648 is 1 .
LCM of 894,919 is 821586.
The greatest common factor of 845/894,648/919 = [GCF of 845,648]/[LCM of 894,919]= 1/821586
Therefore, the GCF of 845/894,648/919 is 1/821586.
To find the highest common factor of 845,648, we have to find the factors of both numbers and list the highest common factor.
The factors of 845 are 1, 5, 13, 65, 169, 845
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The HCF of 845,648 is 1.
Lets's calculate GCF of 845,648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 845,648 By Matching Biggest Common Factor Method
Now, list down the factors of 845
:1,5,13,65,169,845
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 845,648 . The biggest common factor number is the GCF number.
So the greatest common factor 845,648 is 1.
Lets's calculate LCM of 894,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 821586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/821586
Therefore, the GCF of Fractions 845/894,648/919 is 1/821586
Least Common Multiple of 894,919 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 894,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(894,919) x common factors =1 x 1 = 1
LCM(894,919) = ( 894 × 919 ) / 1
LCM(894,919) = 821586 / 1
LCM(894,919) = 821586
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FAQs on GCF of Fractions of 845/894, 648/919
1. What is the HCF of 845,648?
The HCF of 845,648 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 845/894, 648/919?
Answer: GCF of Numerators as per given numbers 845/894, 648/919 is
GCF of Numerators i.e. for 845,648 is 1
LCM of denominators i.e. for 894,919 is 821586.
Thus, GCF of Fractions is 1/821586.Finally, GCF of Fractions for 845/894, 648/919 is 1/821586.