GCF of 7155/428, 4257/4092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7155/428, 4257/4092 i.e 9/437844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7155/428, 4257/4092.
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 7155/428,4257/4092?
Given fractions are 7155/428,4257/4092
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 7155/428,4257/4092, numerators are 7155,4257
Denominators are 428,4092
The GCF of 7155,4257 is 9 .
LCM of 428,4092 is 437844.
The greatest common factor of 7155/428,4257/4092 = [GCF of 7155,4257]/[LCM of 428,4092]= 9/437844
Therefore, the GCF of 7155/428,4257/4092 is 9/437844.
To find the highest common factor of 7155,4257, we have to find the factors of both numbers and list the highest common factor.
The factors of 7155 are 1, 3, 5, 9, 15, 27, 45, 53, 135, 159, 265, 477, 795, 1431, 2385, 7155
The factors of 4257 are 1, 3, 9, 11, 33, 43, 99, 129, 387, 473, 1419, 4257
The HCF of 7155,4257 is 9.
Lets's calculate GCF of 7155,4257
| 3 | 7155, 4257 |
| 3 | 2385, 1419 |
| 795, 473 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7155,4257 By Matching Biggest Common Factor Method
Now, list down the factors of 7155
:1,3,5,9,15,27,45,53,135,159,265,477,795,1431,2385,7155
Now, list down the factors of 4257
:1,3,9,11,33,43,99,129,387,473,1419,4257
Greatest Common Factor
We found the factors 7155,4257 . The biggest common factor number is the GCF number.
So the greatest common factor 7155,4257 is 9.
Lets's calculate LCM of 428,4092
| 2 | 428, 4092 |
| 2 | 214, 2046 |
| 107, 1023 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 1023 = 437844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/437844
Therefore, the GCF of Fractions 7155/428,4257/4092 is 9/437844
Least Common Multiple of 428,4092 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 428,4092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,4092) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(428,4092) x common factors =4 x 1 = 4
LCM(428,4092) = ( 428 × 4092 ) / 4
LCM(428,4092) = 1751376 / 4
LCM(428,4092) = 437844
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FAQs on GCF of Fractions of 7155/428, 4257/4092
1. What is the HCF of 7155,4257?
The HCF of 7155,4257 is 9
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 7155/428, 4257/4092?
Answer: GCF of Numerators as per given numbers 7155/428, 4257/4092 is
GCF of Numerators i.e. for 7155,4257 is 9
LCM of denominators i.e. for 428,4092 is 437844.
Thus, GCF of Fractions is 9/437844.Finally, GCF of Fractions for 7155/428, 4257/4092 is 9/437844.