GCF of 6801/213, 1555/7256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6801/213, 1555/7256 i.e 1/1545528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6801/213, 1555/7256.
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 6801/213,1555/7256?
Given fractions are 6801/213,1555/7256
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 6801/213,1555/7256, numerators are 6801,1555
Denominators are 213,7256
The GCF of 6801,1555 is 1 .
LCM of 213,7256 is 1545528.
The greatest common factor of 6801/213,1555/7256 = [GCF of 6801,1555]/[LCM of 213,7256]= 1/1545528
Therefore, the GCF of 6801/213,1555/7256 is 1/1545528.
To find the highest common factor of 6801,1555, we have to find the factors of both numbers and list the highest common factor.
The factors of 6801 are 1, 3, 2267, 6801
The factors of 1555 are 1, 5, 311, 1555
The HCF of 6801,1555 is 1.
Lets's calculate GCF of 6801,1555
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6801,1555 By Matching Biggest Common Factor Method
Now, list down the factors of 6801
:1,3,2267,6801
Now, list down the factors of 1555
:1,5,311,1555
Greatest Common Factor
We found the factors 6801,1555 . The biggest common factor number is the GCF number.
So the greatest common factor 6801,1555 is 1.
Lets's calculate LCM of 213,7256
Given numbers has no common factors except 1. So, there LCM is their product i.e 1545528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1545528
Therefore, the GCF of Fractions 6801/213,1555/7256 is 1/1545528
Least Common Multiple of 213,7256 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 213,7256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,7256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,7256) x common factors =1 x 1 = 1
LCM(213,7256) = ( 213 × 7256 ) / 1
LCM(213,7256) = 1545528 / 1
LCM(213,7256) = 1545528
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6801/213, 1555/7256
1. What is the HCF of 6801,1555?
The HCF of 6801,1555 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 6801/213, 1555/7256?
Answer: GCF of Numerators as per given numbers 6801/213, 1555/7256 is
GCF of Numerators i.e. for 6801,1555 is 1
LCM of denominators i.e. for 213,7256 is 1545528.
Thus, GCF of Fractions is 1/1545528.Finally, GCF of Fractions for 6801/213, 1555/7256 is 1/1545528.