GCF of 95/182, 24/854, 327/949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/182, 24/854, 327/949 i.e 1/810446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/182, 24/854, 327/949.
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 95/182,24/854,327/949?
Given fractions are 95/182,24/854,327/949
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 95/182,24/854,327/949, numerators are 95,24,327
Denominators are 182,854,949
The GCF of 95,24,327 is 1 .
LCM of 182,854,949 is 810446.
The greatest common factor of 95/182,24/854,327/949 = [GCF of 95,24,327]/[LCM of 182,854,949]= 1/810446
Therefore, the GCF of 95/182,24/854,327/949 is 1/810446.
To find the highest common factor of 95,24,327, 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 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 327 are 1, 3, 109, 327
The HCF of 95,24,327 is 1.
Lets's calculate GCF of 95,24,327
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 95,24,327 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 327
:1,3,109,327
Greatest Common Factor
We found the factors 95,24,327 . The biggest common factor number is the GCF number.
So the greatest common factor 95,24,327 is 1.
Lets's calculate LCM of 182,854,949
| 2 | 182, 854, 949 |
| 7 | 91, 427, 949 |
| 13 | 13, 61, 949 |
| 1, 61, 73 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 1 x 61 x 73 = 810446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/810446
Therefore, the GCF of Fractions 95/182,24/854,327/949 is 1/810446
Least Common Multiple of 182,854,949 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 182,854,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,854,949) = 1
common factors(in case of two or more numbers have common factors) = 182
GCF(182,854,949) x common factors =1 x 182 = 182
LCM(182,854,949) = ( 182 × 854 × 949 ) / 182
LCM(182,854,949) = 147501172 / 182
LCM(182,854,949) = 810446
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FAQs on GCF of Fractions of 95/182, 24/854, 327/949
1. What is the HCF of 95,24,327?
The HCF of 95,24,327 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 95/182, 24/854, 327/949?
Answer: GCF of Numerators as per given numbers 95/182, 24/854, 327/949 is
GCF of Numerators i.e. for 95,24,327 is 1
LCM of denominators i.e. for 182,854,949 is 810446.
Thus, GCF of Fractions is 1/810446.Finally, GCF of Fractions for 95/182, 24/854, 327/949 is 1/810446.