Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 961/35,372/4142
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 961,372
Greatest Common Factor of Numerators i.e. GCF of 961,372 is 31 .
LCM of Denominators means LCM of 35,4142 as per the given fractions.
LCM of 35,4142 is 144970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 961,372
31 | 961, 372 |
31, 12 |
∴ So the GCF of the given numbers is 31 = 31
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 961,372 . The biggest common factor number is the GCF number.
So the greatest common factor 961,372 is 31.
Lets's calculate LCM of 35,4142
Given numbers has no common factors except 1. So, there LCM is their product i.e 144970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/144970
Therefore, the GCF of Fractions 961/35,372/4142 is 31/144970
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 35,4142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,4142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,4142) x common factors =1 x 1 = 1
LCM(35,4142) = ( 35 × 4142 ) / 1
LCM(35,4142) = 144970 / 1
LCM(35,4142) = 144970
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 961/35, 372/4142?
Answer: GCF of Numerators as per given numbers 961/35, 372/4142 is
GCF of Numerators i.e. for 961,372 is 31
LCM of denominators i.e. for 35,4142 is 144970.
Thus, GCF of Fractions is 31/144970.Finally, GCF of Fractions for 961/35, 372/4142 is 31/144970.