GCF of 3481/164, 2678/599
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3481/164, 2678/599 i.e 1/98236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3481/164, 2678/599.
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 3481/164,2678/599?
Given fractions are 3481/164,2678/599
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 3481/164,2678/599, numerators are 3481,2678
Denominators are 164,599
The GCF of 3481,2678 is 1 .
LCM of 164,599 is 98236.
The greatest common factor of 3481/164,2678/599 = [GCF of 3481,2678]/[LCM of 164,599]= 1/98236
Therefore, the GCF of 3481/164,2678/599 is 1/98236.
To find the highest common factor of 3481,2678, we have to find the factors of both numbers and list the highest common factor.
The factors of 3481 are 1, 59, 3481
The factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678
The HCF of 3481,2678 is 1.
Lets's calculate GCF of 3481,2678
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3481,2678 By Matching Biggest Common Factor Method
Now, list down the factors of 3481
:1,59,3481
Now, list down the factors of 2678
:1,2,13,26,103,206,1339,2678
Greatest Common Factor
We found the factors 3481,2678 . The biggest common factor number is the GCF number.
So the greatest common factor 3481,2678 is 1.
Lets's calculate LCM of 164,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 98236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98236
Therefore, the GCF of Fractions 3481/164,2678/599 is 1/98236
Least Common Multiple of 164,599 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 164,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,599) x common factors =1 x 1 = 1
LCM(164,599) = ( 164 × 599 ) / 1
LCM(164,599) = 98236 / 1
LCM(164,599) = 98236
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3481/164, 2678/599
1. What is the HCF of 3481,2678?
The HCF of 3481,2678 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 3481/164, 2678/599?
Answer: GCF of Numerators as per given numbers 3481/164, 2678/599 is
GCF of Numerators i.e. for 3481,2678 is 1
LCM of denominators i.e. for 164,599 is 98236.
Thus, GCF of Fractions is 1/98236.Finally, GCF of Fractions for 3481/164, 2678/599 is 1/98236.