GCF of 2975/657, 8182/768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2975/657, 8182/768 i.e 1/168192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2975/657, 8182/768.
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 2975/657,8182/768?
Given fractions are 2975/657,8182/768
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 2975/657,8182/768, numerators are 2975,8182
Denominators are 657,768
The GCF of 2975,8182 is 1 .
LCM of 657,768 is 168192.
The greatest common factor of 2975/657,8182/768 = [GCF of 2975,8182]/[LCM of 657,768]= 1/168192
Therefore, the GCF of 2975/657,8182/768 is 1/168192.
To find the highest common factor of 2975,8182, we have to find the factors of both numbers and list the highest common factor.
The factors of 2975 are 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975
The factors of 8182 are 1, 2, 4091, 8182
The HCF of 2975,8182 is 1.
Lets's calculate GCF of 2975,8182
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2975,8182 By Matching Biggest Common Factor Method
Now, list down the factors of 2975
:1,5,7,17,25,35,85,119,175,425,595,2975
Now, list down the factors of 8182
:1,2,4091,8182
Greatest Common Factor
We found the factors 2975,8182 . The biggest common factor number is the GCF number.
So the greatest common factor 2975,8182 is 1.
Lets's calculate LCM of 657,768
| 3 | 657, 768 |
| 219, 256 |
∴ So the LCM of the given numbers is 3 x 219 x 256 = 168192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168192
Therefore, the GCF of Fractions 2975/657,8182/768 is 1/168192
Least Common Multiple of 657,768 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 657,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,768) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(657,768) x common factors =3 x 1 = 3
LCM(657,768) = ( 657 × 768 ) / 3
LCM(657,768) = 504576 / 3
LCM(657,768) = 168192
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2975/657, 8182/768
1. What is the HCF of 2975,8182?
The HCF of 2975,8182 is 1
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 2975/657, 8182/768?
Answer: GCF of Numerators as per given numbers 2975/657, 8182/768 is
GCF of Numerators i.e. for 2975,8182 is 1
LCM of denominators i.e. for 657,768 is 168192.
Thus, GCF of Fractions is 1/168192.Finally, GCF of Fractions for 2975/657, 8182/768 is 1/168192.