GCF of 7293/432, 7283/9105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7293/432, 7283/9105 i.e 1/1311120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7293/432, 7283/9105.
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 7293/432,7283/9105?
Given fractions are 7293/432,7283/9105
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 7293/432,7283/9105, numerators are 7293,7283
Denominators are 432,9105
The GCF of 7293,7283 is 1 .
LCM of 432,9105 is 1311120.
The greatest common factor of 7293/432,7283/9105 = [GCF of 7293,7283]/[LCM of 432,9105]= 1/1311120
Therefore, the GCF of 7293/432,7283/9105 is 1/1311120.
To find the highest common factor of 7293,7283, we have to find the factors of both numbers and list the highest common factor.
The factors of 7293 are 1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293
The factors of 7283 are 1, 7283
The HCF of 7293,7283 is 1.
Lets's calculate GCF of 7293,7283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7293,7283 By Matching Biggest Common Factor Method
Now, list down the factors of 7293
:1,3,11,13,17,33,39,51,143,187,221,429,561,663,2431,7293
Now, list down the factors of 7283
:1,7283
Greatest Common Factor
We found the factors 7293,7283 . The biggest common factor number is the GCF number.
So the greatest common factor 7293,7283 is 1.
Lets's calculate LCM of 432,9105
| 3 | 432, 9105 |
| 144, 3035 |
∴ So the LCM of the given numbers is 3 x 144 x 3035 = 1311120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1311120
Therefore, the GCF of Fractions 7293/432,7283/9105 is 1/1311120
Least Common Multiple of 432,9105 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 432,9105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,9105) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(432,9105) x common factors =3 x 1 = 3
LCM(432,9105) = ( 432 × 9105 ) / 3
LCM(432,9105) = 3933360 / 3
LCM(432,9105) = 1311120
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FAQs on GCF of Fractions of 7293/432, 7283/9105
1. What is the HCF of 7293,7283?
The HCF of 7293,7283 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 7293/432, 7283/9105?
Answer: GCF of Numerators as per given numbers 7293/432, 7283/9105 is
GCF of Numerators i.e. for 7293,7283 is 1
LCM of denominators i.e. for 432,9105 is 1311120.
Thus, GCF of Fractions is 1/1311120.Finally, GCF of Fractions for 7293/432, 7283/9105 is 1/1311120.