GCF of 8049/968, 8270/2190
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8049/968, 8270/2190 i.e 1/1059960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8049/968, 8270/2190.
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 8049/968,8270/2190?
Given fractions are 8049/968,8270/2190
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 8049/968,8270/2190, numerators are 8049,8270
Denominators are 968,2190
The GCF of 8049,8270 is 1 .
LCM of 968,2190 is 1059960.
The greatest common factor of 8049/968,8270/2190 = [GCF of 8049,8270]/[LCM of 968,2190]= 1/1059960
Therefore, the GCF of 8049/968,8270/2190 is 1/1059960.
To find the highest common factor of 8049,8270, we have to find the factors of both numbers and list the highest common factor.
The factors of 8049 are 1, 3, 2683, 8049
The factors of 8270 are 1, 2, 5, 10, 827, 1654, 4135, 8270
The HCF of 8049,8270 is 1.
Lets's calculate GCF of 8049,8270
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8049,8270 By Matching Biggest Common Factor Method
Now, list down the factors of 8049
:1,3,2683,8049
Now, list down the factors of 8270
:1,2,5,10,827,1654,4135,8270
Greatest Common Factor
We found the factors 8049,8270 . The biggest common factor number is the GCF number.
So the greatest common factor 8049,8270 is 1.
Lets's calculate LCM of 968,2190
| 2 | 968, 2190 |
| 484, 1095 |
∴ So the LCM of the given numbers is 2 x 484 x 1095 = 1059960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1059960
Therefore, the GCF of Fractions 8049/968,8270/2190 is 1/1059960
Least Common Multiple of 968,2190 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 968,2190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,2190) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(968,2190) x common factors =2 x 1 = 2
LCM(968,2190) = ( 968 × 2190 ) / 2
LCM(968,2190) = 2119920 / 2
LCM(968,2190) = 1059960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8049/968, 8270/2190
1. What is the HCF of 8049,8270?
The HCF of 8049,8270 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 8049/968, 8270/2190?
Answer: GCF of Numerators as per given numbers 8049/968, 8270/2190 is
GCF of Numerators i.e. for 8049,8270 is 1
LCM of denominators i.e. for 968,2190 is 1059960.
Thus, GCF of Fractions is 1/1059960.Finally, GCF of Fractions for 8049/968, 8270/2190 is 1/1059960.