GCF of 370/784, 579/819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 370/784, 579/819 i.e 1/91728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/784, 579/819.
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 370/784,579/819?
Given fractions are 370/784,579/819
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 370/784,579/819, numerators are 370,579
Denominators are 784,819
The GCF of 370,579 is 1 .
LCM of 784,819 is 91728.
The greatest common factor of 370/784,579/819 = [GCF of 370,579]/[LCM of 784,819]= 1/91728
Therefore, the GCF of 370/784,579/819 is 1/91728.
To find the highest common factor of 370,579, we have to find the factors of both numbers and list the highest common factor.
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The factors of 579 are 1, 3, 193, 579
The HCF of 370,579 is 1.
Lets's calculate GCF of 370,579
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 370,579 By Matching Biggest Common Factor Method
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Now, list down the factors of 579
:1,3,193,579
Greatest Common Factor
We found the factors 370,579 . The biggest common factor number is the GCF number.
So the greatest common factor 370,579 is 1.
Lets's calculate LCM of 784,819
| 7 | 784, 819 |
| 112, 117 |
∴ So the LCM of the given numbers is 7 x 112 x 117 = 91728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91728
Therefore, the GCF of Fractions 370/784,579/819 is 1/91728
Least Common Multiple of 784,819 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 784,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,819) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(784,819) x common factors =7 x 1 = 7
LCM(784,819) = ( 784 × 819 ) / 7
LCM(784,819) = 642096 / 7
LCM(784,819) = 91728
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 370/784, 579/819
1. What is the HCF of 370,579?
The HCF of 370,579 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 370/784, 579/819?
Answer: GCF of Numerators as per given numbers 370/784, 579/819 is
GCF of Numerators i.e. for 370,579 is 1
LCM of denominators i.e. for 784,819 is 91728.
Thus, GCF of Fractions is 1/91728.Finally, GCF of Fractions for 370/784, 579/819 is 1/91728.