GCF of 2162/591, 7122/6778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2162/591, 7122/6778 i.e 2/4005798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2162/591, 7122/6778.
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 2162/591,7122/6778?
Given fractions are 2162/591,7122/6778
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 2162/591,7122/6778, numerators are 2162,7122
Denominators are 591,6778
The GCF of 2162,7122 is 2 .
LCM of 591,6778 is 4005798.
The greatest common factor of 2162/591,7122/6778 = [GCF of 2162,7122]/[LCM of 591,6778]= 2/4005798
Therefore, the GCF of 2162/591,7122/6778 is 2/4005798.
To find the highest common factor of 2162,7122, we have to find the factors of both numbers and list the highest common factor.
The factors of 2162 are 1, 2, 23, 46, 47, 94, 1081, 2162
The factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122
The HCF of 2162,7122 is 2.
Lets's calculate GCF of 2162,7122
| 2 | 2162, 7122 |
| 1081, 3561 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2162,7122 By Matching Biggest Common Factor Method
Now, list down the factors of 2162
:1,2,23,46,47,94,1081,2162
Now, list down the factors of 7122
:1,2,3,6,1187,2374,3561,7122
Greatest Common Factor
We found the factors 2162,7122 . The biggest common factor number is the GCF number.
So the greatest common factor 2162,7122 is 2.
Lets's calculate LCM of 591,6778
Given numbers has no common factors except 1. So, there LCM is their product i.e 4005798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4005798
Therefore, the GCF of Fractions 2162/591,7122/6778 is 2/4005798
Least Common Multiple of 591,6778 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 591,6778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,6778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(591,6778) x common factors =1 x 1 = 1
LCM(591,6778) = ( 591 × 6778 ) / 1
LCM(591,6778) = 4005798 / 1
LCM(591,6778) = 4005798
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2162/591, 7122/6778
1. What is the HCF of 2162,7122?
The HCF of 2162,7122 is 2
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 2162/591, 7122/6778?
Answer: GCF of Numerators as per given numbers 2162/591, 7122/6778 is
GCF of Numerators i.e. for 2162,7122 is 2
LCM of denominators i.e. for 591,6778 is 4005798.
Thus, GCF of Fractions is 2/4005798.Finally, GCF of Fractions for 2162/591, 7122/6778 is 2/4005798.