GCF of 6375/961, 8142/6996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6375/961, 8142/6996 i.e 3/6723156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6375/961, 8142/6996.
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 6375/961,8142/6996?
Given fractions are 6375/961,8142/6996
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 6375/961,8142/6996, numerators are 6375,8142
Denominators are 961,6996
The GCF of 6375,8142 is 3 .
LCM of 961,6996 is 6723156.
The greatest common factor of 6375/961,8142/6996 = [GCF of 6375,8142]/[LCM of 961,6996]= 3/6723156
Therefore, the GCF of 6375/961,8142/6996 is 3/6723156.
To find the highest common factor of 6375,8142, we have to find the factors of both numbers and list the highest common factor.
The factors of 6375 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 125, 255, 375, 425, 1275, 2125, 6375
The factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142
The HCF of 6375,8142 is 3.
Lets's calculate GCF of 6375,8142
| 3 | 6375, 8142 |
| 2125, 2714 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6375,8142 By Matching Biggest Common Factor Method
Now, list down the factors of 6375
:1,3,5,15,17,25,51,75,85,125,255,375,425,1275,2125,6375
Now, list down the factors of 8142
:1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142
Greatest Common Factor
We found the factors 6375,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 6375,8142 is 3.
Lets's calculate LCM of 961,6996
Given numbers has no common factors except 1. So, there LCM is their product i.e 6723156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6723156
Therefore, the GCF of Fractions 6375/961,8142/6996 is 3/6723156
Least Common Multiple of 961,6996 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 961,6996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,6996) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,6996) x common factors =1 x 1 = 1
LCM(961,6996) = ( 961 × 6996 ) / 1
LCM(961,6996) = 6723156 / 1
LCM(961,6996) = 6723156
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FAQs on GCF of Fractions of 6375/961, 8142/6996
1. What is the HCF of 6375,8142?
The HCF of 6375,8142 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 6375/961, 8142/6996?
Answer: GCF of Numerators as per given numbers 6375/961, 8142/6996 is
GCF of Numerators i.e. for 6375,8142 is 3
LCM of denominators i.e. for 961,6996 is 6723156.
Thus, GCF of Fractions is 3/6723156.Finally, GCF of Fractions for 6375/961, 8142/6996 is 3/6723156.