GCF of 95/413, 63/146, 498/179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/413, 63/146, 498/179 i.e 1/10793342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/413, 63/146, 498/179.
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 95/413,63/146,498/179?
Given fractions are 95/413,63/146,498/179
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 95/413,63/146,498/179, numerators are 95,63,498
Denominators are 413,146,179
The GCF of 95,63,498 is 1 .
LCM of 413,146,179 is 10793342.
The greatest common factor of 95/413,63/146,498/179 = [GCF of 95,63,498]/[LCM of 413,146,179]= 1/10793342
Therefore, the GCF of 95/413,63/146,498/179 is 1/10793342.
To find the highest common factor of 95,63,498, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498
The HCF of 95,63,498 is 1.
Lets's calculate GCF of 95,63,498
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 95,63,498 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 498
:1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 95,63,498 . The biggest common factor number is the GCF number.
So the greatest common factor 95,63,498 is 1.
Lets's calculate LCM of 413,146,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 10793342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10793342
Therefore, the GCF of Fractions 95/413,63/146,498/179 is 1/10793342
Least Common Multiple of 413,146,179 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 413,146,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,146,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,146,179) x common factors =1 x 1 = 1
LCM(413,146,179) = ( 413 × 146 × 179 ) / 1
LCM(413,146,179) = 10793342 / 1
LCM(413,146,179) = 10793342
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FAQs on GCF of Fractions of 95/413, 63/146, 498/179
1. What is the HCF of 95,63,498?
The HCF of 95,63,498 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 95/413, 63/146, 498/179?
Answer: GCF of Numerators as per given numbers 95/413, 63/146, 498/179 is
GCF of Numerators i.e. for 95,63,498 is 1
LCM of denominators i.e. for 413,146,179 is 10793342.
Thus, GCF of Fractions is 1/10793342.Finally, GCF of Fractions for 95/413, 63/146, 498/179 is 1/10793342.