Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 940/70,376/55,273/92
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 940,376,273
Greatest Common Factor of Numerators i.e. GCF of 940,376,273 is 1 .
LCM of Denominators means LCM of 70,55,92 as per the given fractions.
LCM of 70,55,92 is 35420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 940,376,273
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 940,376,273 . The biggest common factor number is the GCF number.
So the greatest common factor 940,376,273 is 1.
Lets's calculate LCM of 70,55,92
2 | 70, 55, 92 |
5 | 35, 55, 46 |
7, 11, 46 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 11 x 46 = 35420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35420
Therefore, the GCF of Fractions 940/70,376/55,273/92 is 1/35420
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 70,55,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,55,92) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(70,55,92) x common factors =1 x 10 = 10
LCM(70,55,92) = ( 70 × 55 × 92 ) / 10
LCM(70,55,92) = 354200 / 10
LCM(70,55,92) = 35420
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 940/70, 376/55, 273/92?
Answer: GCF of Numerators as per given numbers 940/70, 376/55, 273/92 is
GCF of Numerators i.e. for 940,376,273 is 1
LCM of denominators i.e. for 70,55,92 is 35420.
Thus, GCF of Fractions is 1/35420.Finally, GCF of Fractions for 940/70, 376/55, 273/92 is 1/35420.