Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 953/70,188/31,841/485
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 953,188,841
Greatest Common Factor of Numerators i.e. GCF of 953,188,841 is 1 .
LCM of Denominators means LCM of 70,31,485 as per the given fractions.
LCM of 70,31,485 is 210490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 953,188,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Greatest Common Factor
We found the factors 953,188,841 . The biggest common factor number is the GCF number.
So the greatest common factor 953,188,841 is 1.
Lets's calculate LCM of 70,31,485
5 | 70, 31, 485 |
14, 31, 97 |
∴ So the LCM of the given numbers is 5 x 14 x 31 x 97 = 210490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210490
Therefore, the GCF of Fractions 953/70,188/31,841/485 is 1/210490
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 70,31,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,31,485) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(70,31,485) x common factors =1 x 5 = 5
LCM(70,31,485) = ( 70 × 31 × 485 ) / 5
LCM(70,31,485) = 1052450 / 5
LCM(70,31,485) = 210490
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 953/70, 188/31, 841/485?
Answer: GCF of Numerators as per given numbers 953/70, 188/31, 841/485 is
GCF of Numerators i.e. for 953,188,841 is 1
LCM of denominators i.e. for 70,31,485 is 210490.
Thus, GCF of Fractions is 1/210490.Finally, GCF of Fractions for 953/70, 188/31, 841/485 is 1/210490.