GCF of 2960/162, 8315/3797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2960/162, 8315/3797 i.e 5/615114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2960/162, 8315/3797.
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 2960/162,8315/3797?
Given fractions are 2960/162,8315/3797
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 2960/162,8315/3797, numerators are 2960,8315
Denominators are 162,3797
The GCF of 2960,8315 is 5 .
LCM of 162,3797 is 615114.
The greatest common factor of 2960/162,8315/3797 = [GCF of 2960,8315]/[LCM of 162,3797]= 5/615114
Therefore, the GCF of 2960/162,8315/3797 is 5/615114.
To find the highest common factor of 2960,8315, we have to find the factors of both numbers and list the highest common factor.
The factors of 2960 are 1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960
The factors of 8315 are 1, 5, 1663, 8315
The HCF of 2960,8315 is 5.
Lets's calculate GCF of 2960,8315
| 5 | 2960, 8315 |
| 592, 1663 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2960,8315 By Matching Biggest Common Factor Method
Now, list down the factors of 2960
:1,2,4,5,8,10,16,20,37,40,74,80,148,185,296,370,592,740,1480,2960
Now, list down the factors of 8315
:1,5,1663,8315
Greatest Common Factor
We found the factors 2960,8315 . The biggest common factor number is the GCF number.
So the greatest common factor 2960,8315 is 5.
Lets's calculate LCM of 162,3797
Given numbers has no common factors except 1. So, there LCM is their product i.e 615114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/615114
Therefore, the GCF of Fractions 2960/162,8315/3797 is 5/615114
Least Common Multiple of 162,3797 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 162,3797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,3797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(162,3797) x common factors =1 x 1 = 1
LCM(162,3797) = ( 162 × 3797 ) / 1
LCM(162,3797) = 615114 / 1
LCM(162,3797) = 615114
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2960/162, 8315/3797
1. What is the HCF of 2960,8315?
The HCF of 2960,8315 is 5
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 2960/162, 8315/3797?
Answer: GCF of Numerators as per given numbers 2960/162, 8315/3797 is
GCF of Numerators i.e. for 2960,8315 is 5
LCM of denominators i.e. for 162,3797 is 615114.
Thus, GCF of Fractions is 5/615114.Finally, GCF of Fractions for 2960/162, 8315/3797 is 5/615114.