GCF of 695/231, 3077/133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 695/231, 3077/133 i.e 1/4389 easily. The following is the detailed procedure to determine the greatest common factor of fractions 695/231, 3077/133.
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 695/231,3077/133?
Given fractions are 695/231,3077/133
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 695/231,3077/133, numerators are 695,3077
Denominators are 231,133
The GCF of 695,3077 is 1 .
LCM of 231,133 is 4389.
The greatest common factor of 695/231,3077/133 = [GCF of 695,3077]/[LCM of 231,133]= 1/4389
Therefore, the GCF of 695/231,3077/133 is 1/4389.
To find the highest common factor of 695,3077, we have to find the factors of both numbers and list the highest common factor.
The factors of 695 are 1, 5, 139, 695
The factors of 3077 are 1, 17, 181, 3077
The HCF of 695,3077 is 1.
Lets's calculate GCF of 695,3077
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 695,3077 By Matching Biggest Common Factor Method
Now, list down the factors of 695
:1,5,139,695
Now, list down the factors of 3077
:1,17,181,3077
Greatest Common Factor
We found the factors 695,3077 . The biggest common factor number is the GCF number.
So the greatest common factor 695,3077 is 1.
Lets's calculate LCM of 231,133
| 7 | 231, 133 |
| 33, 19 |
∴ So the LCM of the given numbers is 7 x 33 x 19 = 4389
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4389
Therefore, the GCF of Fractions 695/231,3077/133 is 1/4389
Least Common Multiple of 231,133 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 231,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,133) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(231,133) x common factors =7 x 1 = 7
LCM(231,133) = ( 231 × 133 ) / 7
LCM(231,133) = 30723 / 7
LCM(231,133) = 4389
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 695/231, 3077/133
1. What is the HCF of 695,3077?
The HCF of 695,3077 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 695/231, 3077/133?
Answer: GCF of Numerators as per given numbers 695/231, 3077/133 is
GCF of Numerators i.e. for 695,3077 is 1
LCM of denominators i.e. for 231,133 is 4389.
Thus, GCF of Fractions is 1/4389.Finally, GCF of Fractions for 695/231, 3077/133 is 1/4389.