GCF of 364/886, 2575/2786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 364/886, 2575/2786 i.e 1/1234198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 364/886, 2575/2786.
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 364/886,2575/2786?
Given fractions are 364/886,2575/2786
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 364/886,2575/2786, numerators are 364,2575
Denominators are 886,2786
The GCF of 364,2575 is 1 .
LCM of 886,2786 is 1234198.
The greatest common factor of 364/886,2575/2786 = [GCF of 364,2575]/[LCM of 886,2786]= 1/1234198
Therefore, the GCF of 364/886,2575/2786 is 1/1234198.
To find the highest common factor of 364,2575, we have to find the factors of both numbers and list the highest common factor.
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The factors of 2575 are 1, 5, 25, 103, 515, 2575
The HCF of 364,2575 is 1.
Lets's calculate GCF of 364,2575
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 364,2575 By Matching Biggest Common Factor Method
Now, list down the factors of 364
:1,2,4,7,13,14,26,28,52,91,182,364
Now, list down the factors of 2575
:1,5,25,103,515,2575
Greatest Common Factor
We found the factors 364,2575 . The biggest common factor number is the GCF number.
So the greatest common factor 364,2575 is 1.
Lets's calculate LCM of 886,2786
| 2 | 886, 2786 |
| 443, 1393 |
∴ So the LCM of the given numbers is 2 x 443 x 1393 = 1234198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1234198
Therefore, the GCF of Fractions 364/886,2575/2786 is 1/1234198
Least Common Multiple of 886,2786 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 886,2786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,2786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,2786) x common factors =2 x 1 = 2
LCM(886,2786) = ( 886 × 2786 ) / 2
LCM(886,2786) = 2468396 / 2
LCM(886,2786) = 1234198
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 364/886, 2575/2786
1. What is the HCF of 364,2575?
The HCF of 364,2575 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 364/886, 2575/2786?
Answer: GCF of Numerators as per given numbers 364/886, 2575/2786 is
GCF of Numerators i.e. for 364,2575 is 1
LCM of denominators i.e. for 886,2786 is 1234198.
Thus, GCF of Fractions is 1/1234198.Finally, GCF of Fractions for 364/886, 2575/2786 is 1/1234198.