GCF of 7275/567, 6876/427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7275/567, 6876/427 i.e 3/34587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7275/567, 6876/427.
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 7275/567,6876/427?
Given fractions are 7275/567,6876/427
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 7275/567,6876/427, numerators are 7275,6876
Denominators are 567,427
The GCF of 7275,6876 is 3 .
LCM of 567,427 is 34587.
The greatest common factor of 7275/567,6876/427 = [GCF of 7275,6876]/[LCM of 567,427]= 3/34587
Therefore, the GCF of 7275/567,6876/427 is 3/34587.
To find the highest common factor of 7275,6876, 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 6876 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 191, 382, 573, 764, 1146, 1719, 2292, 3438, 6876
The HCF of 7275,6876 is 3.
Lets's calculate GCF of 7275,6876
| 3 | 7275, 6876 |
| 2425, 2292 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7275,6876 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 6876
:1,2,3,4,6,9,12,18,36,191,382,573,764,1146,1719,2292,3438,6876
Greatest Common Factor
We found the factors 7275,6876 . The biggest common factor number is the GCF number.
So the greatest common factor 7275,6876 is 3.
Lets's calculate LCM of 567,427
| 7 | 567, 427 |
| 81, 61 |
∴ So the LCM of the given numbers is 7 x 81 x 61 = 34587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34587
Therefore, the GCF of Fractions 7275/567,6876/427 is 3/34587
Least Common Multiple of 567,427 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 567,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,427) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(567,427) x common factors =7 x 1 = 7
LCM(567,427) = ( 567 × 427 ) / 7
LCM(567,427) = 242109 / 7
LCM(567,427) = 34587
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FAQs on GCF of Fractions of 7275/567, 6876/427
1. What is the HCF of 7275,6876?
The HCF of 7275,6876 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 7275/567, 6876/427?
Answer: GCF of Numerators as per given numbers 7275/567, 6876/427 is
GCF of Numerators i.e. for 7275,6876 is 3
LCM of denominators i.e. for 567,427 is 34587.
Thus, GCF of Fractions is 3/34587.Finally, GCF of Fractions for 7275/567, 6876/427 is 3/34587.