GCF of 4723/726, 8183/648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4723/726, 8183/648 i.e 1/78408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4723/726, 8183/648.
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 4723/726,8183/648?
Given fractions are 4723/726,8183/648
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 4723/726,8183/648, numerators are 4723,8183
Denominators are 726,648
The GCF of 4723,8183 is 1 .
LCM of 726,648 is 78408.
The greatest common factor of 4723/726,8183/648 = [GCF of 4723,8183]/[LCM of 726,648]= 1/78408
Therefore, the GCF of 4723/726,8183/648 is 1/78408.
To find the highest common factor of 4723,8183, we have to find the factors of both numbers and list the highest common factor.
The factors of 4723 are 1, 4723
The factors of 8183 are 1, 7, 49, 167, 1169, 8183
The HCF of 4723,8183 is 1.
Lets's calculate GCF of 4723,8183
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4723,8183 By Matching Biggest Common Factor Method
Now, list down the factors of 4723
:1,4723
Now, list down the factors of 8183
:1,7,49,167,1169,8183
Greatest Common Factor
We found the factors 4723,8183 . The biggest common factor number is the GCF number.
So the greatest common factor 4723,8183 is 1.
Lets's calculate LCM of 726,648
| 2 | 726, 648 |
| 3 | 363, 324 |
| 121, 108 |
∴ So the LCM of the given numbers is 2 x 3 x 121 x 108 = 78408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78408
Therefore, the GCF of Fractions 4723/726,8183/648 is 1/78408
Least Common Multiple of 726,648 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 726,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,648) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(726,648) x common factors =6 x 1 = 6
LCM(726,648) = ( 726 × 648 ) / 6
LCM(726,648) = 470448 / 6
LCM(726,648) = 78408
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FAQs on GCF of Fractions of 4723/726, 8183/648
1. What is the HCF of 4723,8183?
The HCF of 4723,8183 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 4723/726, 8183/648?
Answer: GCF of Numerators as per given numbers 4723/726, 8183/648 is
GCF of Numerators i.e. for 4723,8183 is 1
LCM of denominators i.e. for 726,648 is 78408.
Thus, GCF of Fractions is 1/78408.Finally, GCF of Fractions for 4723/726, 8183/648 is 1/78408.