GCF of 1555/738, 1793/3561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1555/738, 1793/3561 i.e 1/876006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1555/738, 1793/3561.
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 1555/738,1793/3561?
Given fractions are 1555/738,1793/3561
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 1555/738,1793/3561, numerators are 1555,1793
Denominators are 738,3561
The GCF of 1555,1793 is 1 .
LCM of 738,3561 is 876006.
The greatest common factor of 1555/738,1793/3561 = [GCF of 1555,1793]/[LCM of 738,3561]= 1/876006
Therefore, the GCF of 1555/738,1793/3561 is 1/876006.
To find the highest common factor of 1555,1793, we have to find the factors of both numbers and list the highest common factor.
The factors of 1555 are 1, 5, 311, 1555
The factors of 1793 are 1, 11, 163, 1793
The HCF of 1555,1793 is 1.
Lets's calculate GCF of 1555,1793
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1555,1793 By Matching Biggest Common Factor Method
Now, list down the factors of 1555
:1,5,311,1555
Now, list down the factors of 1793
:1,11,163,1793
Greatest Common Factor
We found the factors 1555,1793 . The biggest common factor number is the GCF number.
So the greatest common factor 1555,1793 is 1.
Lets's calculate LCM of 738,3561
| 3 | 738, 3561 |
| 246, 1187 |
∴ So the LCM of the given numbers is 3 x 246 x 1187 = 876006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/876006
Therefore, the GCF of Fractions 1555/738,1793/3561 is 1/876006
Least Common Multiple of 738,3561 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 738,3561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,3561) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(738,3561) x common factors =3 x 1 = 3
LCM(738,3561) = ( 738 × 3561 ) / 3
LCM(738,3561) = 2628018 / 3
LCM(738,3561) = 876006
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1555/738, 1793/3561
1. What is the HCF of 1555,1793?
The HCF of 1555,1793 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 1555/738, 1793/3561?
Answer: GCF of Numerators as per given numbers 1555/738, 1793/3561 is
GCF of Numerators i.e. for 1555,1793 is 1
LCM of denominators i.e. for 738,3561 is 876006.
Thus, GCF of Fractions is 1/876006.Finally, GCF of Fractions for 1555/738, 1793/3561 is 1/876006.