GCF of 495/328, 3454/139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 495/328, 3454/139 i.e 11/45592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 495/328, 3454/139.
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 495/328,3454/139?
Given fractions are 495/328,3454/139
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 495/328,3454/139, numerators are 495,3454
Denominators are 328,139
The GCF of 495,3454 is 11 .
LCM of 328,139 is 45592.
The greatest common factor of 495/328,3454/139 = [GCF of 495,3454]/[LCM of 328,139]= 11/45592
Therefore, the GCF of 495/328,3454/139 is 11/45592.
To find the highest common factor of 495,3454, we have to find the factors of both numbers and list the highest common factor.
The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
The factors of 3454 are 1, 2, 11, 22, 157, 314, 1727, 3454
The HCF of 495,3454 is 11.
Lets's calculate GCF of 495,3454
| 11 | 495, 3454 |
| 45, 314 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 495,3454 By Matching Biggest Common Factor Method
Now, list down the factors of 495
:1,3,5,9,11,15,33,45,55,99,165,495
Now, list down the factors of 3454
:1,2,11,22,157,314,1727,3454
Greatest Common Factor
We found the factors 495,3454 . The biggest common factor number is the GCF number.
So the greatest common factor 495,3454 is 11.
Lets's calculate LCM of 328,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 45592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/45592
Therefore, the GCF of Fractions 495/328,3454/139 is 11/45592
Least Common Multiple of 328,139 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 328,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(328,139) x common factors =1 x 1 = 1
LCM(328,139) = ( 328 × 139 ) / 1
LCM(328,139) = 45592 / 1
LCM(328,139) = 45592
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 495/328, 3454/139
1. What is the HCF of 495,3454?
The HCF of 495,3454 is 11
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 495/328, 3454/139?
Answer: GCF of Numerators as per given numbers 495/328, 3454/139 is
GCF of Numerators i.e. for 495,3454 is 11
LCM of denominators i.e. for 328,139 is 45592.
Thus, GCF of Fractions is 11/45592.Finally, GCF of Fractions for 495/328, 3454/139 is 11/45592.