GCF of 724/199, 382/827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 724/199, 382/827 i.e 2/164573 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/199, 382/827.
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 724/199,382/827?
Given fractions are 724/199,382/827
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 724/199,382/827, numerators are 724,382
Denominators are 199,827
The GCF of 724,382 is 2 .
LCM of 199,827 is 164573.
The greatest common factor of 724/199,382/827 = [GCF of 724,382]/[LCM of 199,827]= 2/164573
Therefore, the GCF of 724/199,382/827 is 2/164573.
To find the highest common factor of 724,382, we have to find the factors of both numbers and list the highest common factor.
The factors of 724 are 1, 2, 4, 181, 362, 724
The factors of 382 are 1, 2, 191, 382
The HCF of 724,382 is 2.
Lets's calculate GCF of 724,382
| 2 | 724, 382 |
| 362, 191 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 724,382 By Matching Biggest Common Factor Method
Now, list down the factors of 724
:1,2,4,181,362,724
Now, list down the factors of 382
:1,2,191,382
Greatest Common Factor
We found the factors 724,382 . The biggest common factor number is the GCF number.
So the greatest common factor 724,382 is 2.
Lets's calculate LCM of 199,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 164573
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/164573
Therefore, the GCF of Fractions 724/199,382/827 is 2/164573
Least Common Multiple of 199,827 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 199,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,827) x common factors =1 x 1 = 1
LCM(199,827) = ( 199 × 827 ) / 1
LCM(199,827) = 164573 / 1
LCM(199,827) = 164573
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 724/199, 382/827
1. What is the HCF of 724,382?
The HCF of 724,382 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 724/199, 382/827?
Answer: GCF of Numerators as per given numbers 724/199, 382/827 is
GCF of Numerators i.e. for 724,382 is 2
LCM of denominators i.e. for 199,827 is 164573.
Thus, GCF of Fractions is 2/164573.Finally, GCF of Fractions for 724/199, 382/827 is 2/164573.