GCF of 3725/382, 2173/318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3725/382, 2173/318 i.e 1/60738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3725/382, 2173/318.
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 3725/382,2173/318?
Given fractions are 3725/382,2173/318
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 3725/382,2173/318, numerators are 3725,2173
Denominators are 382,318
The GCF of 3725,2173 is 1 .
LCM of 382,318 is 60738.
The greatest common factor of 3725/382,2173/318 = [GCF of 3725,2173]/[LCM of 382,318]= 1/60738
Therefore, the GCF of 3725/382,2173/318 is 1/60738.
To find the highest common factor of 3725,2173, we have to find the factors of both numbers and list the highest common factor.
The factors of 3725 are 1, 5, 25, 149, 745, 3725
The factors of 2173 are 1, 41, 53, 2173
The HCF of 3725,2173 is 1.
Lets's calculate GCF of 3725,2173
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3725,2173 By Matching Biggest Common Factor Method
Now, list down the factors of 3725
:1,5,25,149,745,3725
Now, list down the factors of 2173
:1,41,53,2173
Greatest Common Factor
We found the factors 3725,2173 . The biggest common factor number is the GCF number.
So the greatest common factor 3725,2173 is 1.
Lets's calculate LCM of 382,318
| 2 | 382, 318 |
| 191, 159 |
∴ So the LCM of the given numbers is 2 x 191 x 159 = 60738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60738
Therefore, the GCF of Fractions 3725/382,2173/318 is 1/60738
Least Common Multiple of 382,318 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 382,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,318) x common factors =2 x 1 = 2
LCM(382,318) = ( 382 × 318 ) / 2
LCM(382,318) = 121476 / 2
LCM(382,318) = 60738
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3725/382, 2173/318
1. What is the HCF of 3725,2173?
The HCF of 3725,2173 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 3725/382, 2173/318?
Answer: GCF of Numerators as per given numbers 3725/382, 2173/318 is
GCF of Numerators i.e. for 3725,2173 is 1
LCM of denominators i.e. for 382,318 is 60738.
Thus, GCF of Fractions is 1/60738.Finally, GCF of Fractions for 3725/382, 2173/318 is 1/60738.