Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/357,131/382,873/346
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 95,131,873
Greatest Common Factor of Numerators i.e. GCF of 95,131,873 is 1 .
LCM of Denominators means LCM of 357,382,346 as per the given fractions.
LCM of 357,382,346 is 23592702 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,131,873
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Greatest Common Factor
We found the factors 95,131,873 . The biggest common factor number is the GCF number.
So the greatest common factor 95,131,873 is 1.
Lets's calculate LCM of 357,382,346
2 | 357, 382, 346 |
357, 191, 173 |
∴ So the LCM of the given numbers is 2 x 357 x 191 x 173 = 23592702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23592702
Therefore, the GCF of Fractions 95/357,131/382,873/346 is 1/23592702
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 357,382,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,382,346) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(357,382,346) x common factors =1 x 2 = 2
LCM(357,382,346) = ( 357 × 382 × 346 ) / 2
LCM(357,382,346) = 47185404 / 2
LCM(357,382,346) = 23592702
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 95/357, 131/382, 873/346?
Answer: GCF of Numerators as per given numbers 95/357, 131/382, 873/346 is
GCF of Numerators i.e. for 95,131,873 is 1
LCM of denominators i.e. for 357,382,346 is 23592702.
Thus, GCF of Fractions is 1/23592702.Finally, GCF of Fractions for 95/357, 131/382, 873/346 is 1/23592702.