Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 939/93,951/262
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 939,951
Greatest Common Factor of Numerators i.e. GCF of 939,951 is 3 .
LCM of Denominators means LCM of 93,262 as per the given fractions.
LCM of 93,262 is 24366 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 939,951
3 | 939, 951 |
313, 317 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 939,951 . The biggest common factor number is the GCF number.
So the greatest common factor 939,951 is 3.
Lets's calculate LCM of 93,262
Given numbers has no common factors except 1. So, there LCM is their product i.e 24366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24366
Therefore, the GCF of Fractions 939/93,951/262 is 3/24366
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 93,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,262) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,262) x common factors =1 x 1 = 1
LCM(93,262) = ( 93 × 262 ) / 1
LCM(93,262) = 24366 / 1
LCM(93,262) = 24366
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 939/93, 951/262?
Answer: GCF of Numerators as per given numbers 939/93, 951/262 is
GCF of Numerators i.e. for 939,951 is 3
LCM of denominators i.e. for 93,262 is 24366.
Thus, GCF of Fractions is 3/24366.Finally, GCF of Fractions for 939/93, 951/262 is 3/24366.