GCF of 1382/678, 1186/5581
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1382/678, 1186/5581 i.e 2/3783918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1382/678, 1186/5581.
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 1382/678,1186/5581?
Given fractions are 1382/678,1186/5581
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 1382/678,1186/5581, numerators are 1382,1186
Denominators are 678,5581
The GCF of 1382,1186 is 2 .
LCM of 678,5581 is 3783918.
The greatest common factor of 1382/678,1186/5581 = [GCF of 1382,1186]/[LCM of 678,5581]= 2/3783918
Therefore, the GCF of 1382/678,1186/5581 is 2/3783918.
To find the highest common factor of 1382,1186, we have to find the factors of both numbers and list the highest common factor.
The factors of 1382 are 1, 2, 691, 1382
The factors of 1186 are 1, 2, 593, 1186
The HCF of 1382,1186 is 2.
Lets's calculate GCF of 1382,1186
| 2 | 1382, 1186 |
| 691, 593 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1382,1186 By Matching Biggest Common Factor Method
Now, list down the factors of 1382
:1,2,691,1382
Now, list down the factors of 1186
:1,2,593,1186
Greatest Common Factor
We found the factors 1382,1186 . The biggest common factor number is the GCF number.
So the greatest common factor 1382,1186 is 2.
Lets's calculate LCM of 678,5581
Given numbers has no common factors except 1. So, there LCM is their product i.e 3783918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3783918
Therefore, the GCF of Fractions 1382/678,1186/5581 is 2/3783918
Least Common Multiple of 678,5581 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 678,5581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,5581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(678,5581) x common factors =1 x 1 = 1
LCM(678,5581) = ( 678 × 5581 ) / 1
LCM(678,5581) = 3783918 / 1
LCM(678,5581) = 3783918
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1382/678, 1186/5581
1. What is the HCF of 1382,1186?
The HCF of 1382,1186 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 1382/678, 1186/5581?
Answer: GCF of Numerators as per given numbers 1382/678, 1186/5581 is
GCF of Numerators i.e. for 1382,1186 is 2
LCM of denominators i.e. for 678,5581 is 3783918.
Thus, GCF of Fractions is 2/3783918.Finally, GCF of Fractions for 1382/678, 1186/5581 is 2/3783918.