GCF of 212/551, 397/823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 212/551, 397/823 i.e 1/453473 easily. The following is the detailed procedure to determine the greatest common factor of fractions 212/551, 397/823.
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 212/551,397/823?
Given fractions are 212/551,397/823
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 212/551,397/823, numerators are 212,397
Denominators are 551,823
The GCF of 212,397 is 1 .
LCM of 551,823 is 453473.
The greatest common factor of 212/551,397/823 = [GCF of 212,397]/[LCM of 551,823]= 1/453473
Therefore, the GCF of 212/551,397/823 is 1/453473.
To find the highest common factor of 212,397, we have to find the factors of both numbers and list the highest common factor.
The factors of 212 are 1, 2, 4, 53, 106, 212
The factors of 397 are 1, 397
The HCF of 212,397 is 1.
Lets's calculate GCF of 212,397
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 212,397 By Matching Biggest Common Factor Method
Now, list down the factors of 212
:1,2,4,53,106,212
Now, list down the factors of 397
:1,397
Greatest Common Factor
We found the factors 212,397 . The biggest common factor number is the GCF number.
So the greatest common factor 212,397 is 1.
Lets's calculate LCM of 551,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 453473
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453473
Therefore, the GCF of Fractions 212/551,397/823 is 1/453473
Least Common Multiple of 551,823 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 551,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,823) x common factors =1 x 1 = 1
LCM(551,823) = ( 551 × 823 ) / 1
LCM(551,823) = 453473 / 1
LCM(551,823) = 453473
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 212/551, 397/823
1. What is the HCF of 212,397?
The HCF of 212,397 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 212/551, 397/823?
Answer: GCF of Numerators as per given numbers 212/551, 397/823 is
GCF of Numerators i.e. for 212,397 is 1
LCM of denominators i.e. for 551,823 is 453473.
Thus, GCF of Fractions is 1/453473.Finally, GCF of Fractions for 212/551, 397/823 is 1/453473.