GCF of 8262/723, 8226/7813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8262/723, 8226/7813 i.e 18/5648799 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8262/723, 8226/7813.
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 8262/723,8226/7813?
Given fractions are 8262/723,8226/7813
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 8262/723,8226/7813, numerators are 8262,8226
Denominators are 723,7813
The GCF of 8262,8226 is 18 .
LCM of 723,7813 is 5648799.
The greatest common factor of 8262/723,8226/7813 = [GCF of 8262,8226]/[LCM of 723,7813]= 18/5648799
Therefore, the GCF of 8262/723,8226/7813 is 18/5648799.
To find the highest common factor of 8262,8226, we have to find the factors of both numbers and list the highest common factor.
The factors of 8262 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131, 8262
The factors of 8226 are 1, 2, 3, 6, 9, 18, 457, 914, 1371, 2742, 4113, 8226
The HCF of 8262,8226 is 18.
Lets's calculate GCF of 8262,8226
| 2 | 8262, 8226 |
| 3 | 4131, 4113 |
| 3 | 1377, 1371 |
| 459, 457 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 8262,8226 By Matching Biggest Common Factor Method
Now, list down the factors of 8262
:1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,243,306,459,486,918,1377,2754,4131,8262
Now, list down the factors of 8226
:1,2,3,6,9,18,457,914,1371,2742,4113,8226
Greatest Common Factor
We found the factors 8262,8226 . The biggest common factor number is the GCF number.
So the greatest common factor 8262,8226 is 18.
Lets's calculate LCM of 723,7813
Given numbers has no common factors except 1. So, there LCM is their product i.e 5648799
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/5648799
Therefore, the GCF of Fractions 8262/723,8226/7813 is 18/5648799
Least Common Multiple of 723,7813 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 723,7813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,7813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,7813) x common factors =1 x 1 = 1
LCM(723,7813) = ( 723 × 7813 ) / 1
LCM(723,7813) = 5648799 / 1
LCM(723,7813) = 5648799
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8262/723, 8226/7813
1. What is the HCF of 8262,8226?
The HCF of 8262,8226 is 18
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 8262/723, 8226/7813?
Answer: GCF of Numerators as per given numbers 8262/723, 8226/7813 is
GCF of Numerators i.e. for 8262,8226 is 18
LCM of denominators i.e. for 723,7813 is 5648799.
Thus, GCF of Fractions is 18/5648799.Finally, GCF of Fractions for 8262/723, 8226/7813 is 18/5648799.