GCF of 363/651, 9159/1773
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 363/651, 9159/1773 i.e 3/384741 easily. The following is the detailed procedure to determine the greatest common factor of fractions 363/651, 9159/1773.
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 363/651,9159/1773?
Given fractions are 363/651,9159/1773
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 363/651,9159/1773, numerators are 363,9159
Denominators are 651,1773
The GCF of 363,9159 is 3 .
LCM of 651,1773 is 384741.
The greatest common factor of 363/651,9159/1773 = [GCF of 363,9159]/[LCM of 651,1773]= 3/384741
Therefore, the GCF of 363/651,9159/1773 is 3/384741.
To find the highest common factor of 363,9159, we have to find the factors of both numbers and list the highest common factor.
The factors of 363 are 1, 3, 11, 33, 121, 363
The factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159
The HCF of 363,9159 is 3.
Lets's calculate GCF of 363,9159
| 3 | 363, 9159 |
| 121, 3053 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 363,9159 By Matching Biggest Common Factor Method
Now, list down the factors of 363
:1,3,11,33,121,363
Now, list down the factors of 9159
:1,3,43,71,129,213,3053,9159
Greatest Common Factor
We found the factors 363,9159 . The biggest common factor number is the GCF number.
So the greatest common factor 363,9159 is 3.
Lets's calculate LCM of 651,1773
| 3 | 651, 1773 |
| 217, 591 |
∴ So the LCM of the given numbers is 3 x 217 x 591 = 384741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/384741
Therefore, the GCF of Fractions 363/651,9159/1773 is 3/384741
Least Common Multiple of 651,1773 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 651,1773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,1773) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,1773) x common factors =3 x 1 = 3
LCM(651,1773) = ( 651 × 1773 ) / 3
LCM(651,1773) = 1154223 / 3
LCM(651,1773) = 384741
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FAQs on GCF of Fractions of 363/651, 9159/1773
1. What is the HCF of 363,9159?
The HCF of 363,9159 is 3
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 363/651, 9159/1773?
Answer: GCF of Numerators as per given numbers 363/651, 9159/1773 is
GCF of Numerators i.e. for 363,9159 is 3
LCM of denominators i.e. for 651,1773 is 384741.
Thus, GCF of Fractions is 3/384741.Finally, GCF of Fractions for 363/651, 9159/1773 is 3/384741.