GCF of 6915/431, 2592/4968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6915/431, 2592/4968 i.e 3/2141208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6915/431, 2592/4968.
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 6915/431,2592/4968?
Given fractions are 6915/431,2592/4968
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 6915/431,2592/4968, numerators are 6915,2592
Denominators are 431,4968
The GCF of 6915,2592 is 3 .
LCM of 431,4968 is 2141208.
The greatest common factor of 6915/431,2592/4968 = [GCF of 6915,2592]/[LCM of 431,4968]= 3/2141208
Therefore, the GCF of 6915/431,2592/4968 is 3/2141208.
To find the highest common factor of 6915,2592, we have to find the factors of both numbers and list the highest common factor.
The factors of 6915 are 1, 3, 5, 15, 461, 1383, 2305, 6915
The factors of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592
The HCF of 6915,2592 is 3.
Lets's calculate GCF of 6915,2592
| 3 | 6915, 2592 |
| 2305, 864 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6915,2592 By Matching Biggest Common Factor Method
Now, list down the factors of 6915
:1,3,5,15,461,1383,2305,6915
Now, list down the factors of 2592
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,288,324,432,648,864,1296,2592
Greatest Common Factor
We found the factors 6915,2592 . The biggest common factor number is the GCF number.
So the greatest common factor 6915,2592 is 3.
Lets's calculate LCM of 431,4968
Given numbers has no common factors except 1. So, there LCM is their product i.e 2141208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2141208
Therefore, the GCF of Fractions 6915/431,2592/4968 is 3/2141208
Least Common Multiple of 431,4968 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 431,4968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,4968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,4968) x common factors =1 x 1 = 1
LCM(431,4968) = ( 431 × 4968 ) / 1
LCM(431,4968) = 2141208 / 1
LCM(431,4968) = 2141208
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FAQs on GCF of Fractions of 6915/431, 2592/4968
1. What is the HCF of 6915,2592?
The HCF of 6915,2592 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 6915/431, 2592/4968?
Answer: GCF of Numerators as per given numbers 6915/431, 2592/4968 is
GCF of Numerators i.e. for 6915,2592 is 3
LCM of denominators i.e. for 431,4968 is 2141208.
Thus, GCF of Fractions is 3/2141208.Finally, GCF of Fractions for 6915/431, 2592/4968 is 3/2141208.