GCF of 919/82, 648/226
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 919/82, 648/226 i.e 1/9266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 919/82, 648/226.
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 919/82,648/226?
Given fractions are 919/82,648/226
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 919/82,648/226, numerators are 919,648
Denominators are 82,226
The GCF of 919,648 is 1 .
LCM of 82,226 is 9266.
The greatest common factor of 919/82,648/226 = [GCF of 919,648]/[LCM of 82,226]= 1/9266
Therefore, the GCF of 919/82,648/226 is 1/9266.
To find the highest common factor of 919,648, we have to find the factors of both numbers and list the highest common factor.
The factors of 919 are 1, 919
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 919,648 is 1.
Lets's calculate GCF of 919,648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 919,648 By Matching Biggest Common Factor Method
Now, list down the factors of 919
:1,919
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 919,648 . The biggest common factor number is the GCF number.
So the greatest common factor 919,648 is 1.
Lets's calculate LCM of 82,226
| 2 | 82, 226 |
| 41, 113 |
∴ So the LCM of the given numbers is 2 x 41 x 113 = 9266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9266
Therefore, the GCF of Fractions 919/82,648/226 is 1/9266
Least Common Multiple of 82,226 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 82,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,226) x common factors =2 x 1 = 2
LCM(82,226) = ( 82 × 226 ) / 2
LCM(82,226) = 18532 / 2
LCM(82,226) = 9266
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FAQs on GCF of Fractions of 919/82, 648/226
1. What is the HCF of 919,648?
The HCF of 919,648 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 919/82, 648/226?
Answer: GCF of Numerators as per given numbers 919/82, 648/226 is
GCF of Numerators i.e. for 919,648 is 1
LCM of denominators i.e. for 82,226 is 9266.
Thus, GCF of Fractions is 1/9266.Finally, GCF of Fractions for 919/82, 648/226 is 1/9266.