GCF of 7275/123, 9301/6879
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7275/123, 9301/6879 i.e 1/282039 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7275/123, 9301/6879.
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 7275/123,9301/6879?
Given fractions are 7275/123,9301/6879
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 7275/123,9301/6879, numerators are 7275,9301
Denominators are 123,6879
The GCF of 7275,9301 is 1 .
LCM of 123,6879 is 282039.
The greatest common factor of 7275/123,9301/6879 = [GCF of 7275,9301]/[LCM of 123,6879]= 1/282039
Therefore, the GCF of 7275/123,9301/6879 is 1/282039.
To find the highest common factor of 7275,9301, we have to find the factors of both numbers and list the highest common factor.
The factors of 7275 are 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275
The factors of 9301 are 1, 71, 131, 9301
The HCF of 7275,9301 is 1.
Lets's calculate GCF of 7275,9301
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7275,9301 By Matching Biggest Common Factor Method
Now, list down the factors of 7275
:1,3,5,15,25,75,97,291,485,1455,2425,7275
Now, list down the factors of 9301
:1,71,131,9301
Greatest Common Factor
We found the factors 7275,9301 . The biggest common factor number is the GCF number.
So the greatest common factor 7275,9301 is 1.
Lets's calculate LCM of 123,6879
| 3 | 123, 6879 |
| 41, 2293 |
∴ So the LCM of the given numbers is 3 x 41 x 2293 = 282039
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282039
Therefore, the GCF of Fractions 7275/123,9301/6879 is 1/282039
Least Common Multiple of 123,6879 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 123,6879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,6879) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,6879) x common factors =3 x 1 = 3
LCM(123,6879) = ( 123 × 6879 ) / 3
LCM(123,6879) = 846117 / 3
LCM(123,6879) = 282039
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FAQs on GCF of Fractions of 7275/123, 9301/6879
1. What is the HCF of 7275,9301?
The HCF of 7275,9301 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 7275/123, 9301/6879?
Answer: GCF of Numerators as per given numbers 7275/123, 9301/6879 is
GCF of Numerators i.e. for 7275,9301 is 1
LCM of denominators i.e. for 123,6879 is 282039.
Thus, GCF of Fractions is 1/282039.Finally, GCF of Fractions for 7275/123, 9301/6879 is 1/282039.