GCF of 3423/623, 4649/284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3423/623, 4649/284 i.e 1/176932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3423/623, 4649/284.
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 3423/623,4649/284?
Given fractions are 3423/623,4649/284
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 3423/623,4649/284, numerators are 3423,4649
Denominators are 623,284
The GCF of 3423,4649 is 1 .
LCM of 623,284 is 176932.
The greatest common factor of 3423/623,4649/284 = [GCF of 3423,4649]/[LCM of 623,284]= 1/176932
Therefore, the GCF of 3423/623,4649/284 is 1/176932.
To find the highest common factor of 3423,4649, we have to find the factors of both numbers and list the highest common factor.
The factors of 3423 are 1, 3, 7, 21, 163, 489, 1141, 3423
The factors of 4649 are 1, 4649
The HCF of 3423,4649 is 1.
Lets's calculate GCF of 3423,4649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3423,4649 By Matching Biggest Common Factor Method
Now, list down the factors of 3423
:1,3,7,21,163,489,1141,3423
Now, list down the factors of 4649
:1,4649
Greatest Common Factor
We found the factors 3423,4649 . The biggest common factor number is the GCF number.
So the greatest common factor 3423,4649 is 1.
Lets's calculate LCM of 623,284
Given numbers has no common factors except 1. So, there LCM is their product i.e 176932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176932
Therefore, the GCF of Fractions 3423/623,4649/284 is 1/176932
Least Common Multiple of 623,284 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 623,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,284) x common factors =1 x 1 = 1
LCM(623,284) = ( 623 × 284 ) / 1
LCM(623,284) = 176932 / 1
LCM(623,284) = 176932
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3423/623, 4649/284
1. What is the HCF of 3423,4649?
The HCF of 3423,4649 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 3423/623, 4649/284?
Answer: GCF of Numerators as per given numbers 3423/623, 4649/284 is
GCF of Numerators i.e. for 3423,4649 is 1
LCM of denominators i.e. for 623,284 is 176932.
Thus, GCF of Fractions is 1/176932.Finally, GCF of Fractions for 3423/623, 4649/284 is 1/176932.