GCF of 7926/740, 6489/108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7926/740, 6489/108 i.e 3/19980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7926/740, 6489/108.
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 7926/740,6489/108?
Given fractions are 7926/740,6489/108
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 7926/740,6489/108, numerators are 7926,6489
Denominators are 740,108
The GCF of 7926,6489 is 3 .
LCM of 740,108 is 19980.
The greatest common factor of 7926/740,6489/108 = [GCF of 7926,6489]/[LCM of 740,108]= 3/19980
Therefore, the GCF of 7926/740,6489/108 is 3/19980.
To find the highest common factor of 7926,6489, we have to find the factors of both numbers and list the highest common factor.
The factors of 7926 are 1, 2, 3, 6, 1321, 2642, 3963, 7926
The factors of 6489 are 1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489
The HCF of 7926,6489 is 3.
Lets's calculate GCF of 7926,6489
| 3 | 7926, 6489 |
| 2642, 2163 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7926,6489 By Matching Biggest Common Factor Method
Now, list down the factors of 7926
:1,2,3,6,1321,2642,3963,7926
Now, list down the factors of 6489
:1,3,7,9,21,63,103,309,721,927,2163,6489
Greatest Common Factor
We found the factors 7926,6489 . The biggest common factor number is the GCF number.
So the greatest common factor 7926,6489 is 3.
Lets's calculate LCM of 740,108
| 2 | 740, 108 |
| 2 | 370, 54 |
| 185, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 185 x 27 = 19980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19980
Therefore, the GCF of Fractions 7926/740,6489/108 is 3/19980
Least Common Multiple of 740,108 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 740,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,108) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(740,108) x common factors =4 x 1 = 4
LCM(740,108) = ( 740 × 108 ) / 4
LCM(740,108) = 79920 / 4
LCM(740,108) = 19980
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FAQs on GCF of Fractions of 7926/740, 6489/108
1. What is the HCF of 7926,6489?
The HCF of 7926,6489 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 7926/740, 6489/108?
Answer: GCF of Numerators as per given numbers 7926/740, 6489/108 is
GCF of Numerators i.e. for 7926,6489 is 3
LCM of denominators i.e. for 740,108 is 19980.
Thus, GCF of Fractions is 3/19980.Finally, GCF of Fractions for 7926/740, 6489/108 is 3/19980.