Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 950/92,556/655
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 950,556
Greatest Common Factor of Numerators i.e. GCF of 950,556 is 2 .
LCM of Denominators means LCM of 92,655 as per the given fractions.
LCM of 92,655 is 60260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 950,556
2 | 950, 556 |
475, 278 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Greatest Common Factor
We found the factors 950,556 . The biggest common factor number is the GCF number.
So the greatest common factor 950,556 is 2.
Lets's calculate LCM of 92,655
Given numbers has no common factors except 1. So, there LCM is their product i.e 60260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60260
Therefore, the GCF of Fractions 950/92,556/655 is 2/60260
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 92,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,655) x common factors =1 x 1 = 1
LCM(92,655) = ( 92 × 655 ) / 1
LCM(92,655) = 60260 / 1
LCM(92,655) = 60260
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 950/92, 556/655?
Answer: GCF of Numerators as per given numbers 950/92, 556/655 is
GCF of Numerators i.e. for 950,556 is 2
LCM of denominators i.e. for 92,655 is 60260.
Thus, GCF of Fractions is 2/60260.Finally, GCF of Fractions for 950/92, 556/655 is 2/60260.