GCF of 7223/486, 1289/6534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7223/486, 1289/6534 i.e 1/58806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7223/486, 1289/6534.
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 7223/486,1289/6534?
Given fractions are 7223/486,1289/6534
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 7223/486,1289/6534, numerators are 7223,1289
Denominators are 486,6534
The GCF of 7223,1289 is 1 .
LCM of 486,6534 is 58806.
The greatest common factor of 7223/486,1289/6534 = [GCF of 7223,1289]/[LCM of 486,6534]= 1/58806
Therefore, the GCF of 7223/486,1289/6534 is 1/58806.
To find the highest common factor of 7223,1289, we have to find the factors of both numbers and list the highest common factor.
The factors of 7223 are 1, 31, 233, 7223
The factors of 1289 are 1, 1289
The HCF of 7223,1289 is 1.
Lets's calculate GCF of 7223,1289
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7223,1289 By Matching Biggest Common Factor Method
Now, list down the factors of 7223
:1,31,233,7223
Now, list down the factors of 1289
:1,1289
Greatest Common Factor
We found the factors 7223,1289 . The biggest common factor number is the GCF number.
So the greatest common factor 7223,1289 is 1.
Lets's calculate LCM of 486,6534
| 2 | 486, 6534 |
| 3 | 243, 3267 |
| 3 | 81, 1089 |
| 3 | 27, 363 |
| 9, 121 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 9 x 121 = 58806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58806
Therefore, the GCF of Fractions 7223/486,1289/6534 is 1/58806
Least Common Multiple of 486,6534 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 486,6534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,6534) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(486,6534) x common factors =54 x 1 = 54
LCM(486,6534) = ( 486 × 6534 ) / 54
LCM(486,6534) = 3175524 / 54
LCM(486,6534) = 58806
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FAQs on GCF of Fractions of 7223/486, 1289/6534
1. What is the HCF of 7223,1289?
The HCF of 7223,1289 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 7223/486, 1289/6534?
Answer: GCF of Numerators as per given numbers 7223/486, 1289/6534 is
GCF of Numerators i.e. for 7223,1289 is 1
LCM of denominators i.e. for 486,6534 is 58806.
Thus, GCF of Fractions is 1/58806.Finally, GCF of Fractions for 7223/486, 1289/6534 is 1/58806.