Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 908/881,931/550,547/669
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 908,931,547
Greatest Common Factor of Numerators i.e. GCF of 908,931,547 is 1 .
LCM of Denominators means LCM of 881,550,669 as per the given fractions.
LCM of 881,550,669 is 324163950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 908,931,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Greatest Common Factor
We found the factors 908,931,547 . The biggest common factor number is the GCF number.
So the greatest common factor 908,931,547 is 1.
Lets's calculate LCM of 881,550,669
Given numbers has no common factors except 1. So, there LCM is their product i.e 324163950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324163950
Therefore, the GCF of Fractions 908/881,931/550,547/669 is 1/324163950
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 881,550,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,550,669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,550,669) x common factors =1 x 1 = 1
LCM(881,550,669) = ( 881 × 550 × 669 ) / 1
LCM(881,550,669) = 324163950 / 1
LCM(881,550,669) = 324163950
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 908/881, 931/550, 547/669?
Answer: GCF of Numerators as per given numbers 908/881, 931/550, 547/669 is
GCF of Numerators i.e. for 908,931,547 is 1
LCM of denominators i.e. for 881,550,669 is 324163950.
Thus, GCF of Fractions is 1/324163950.Finally, GCF of Fractions for 908/881, 931/550, 547/669 is 1/324163950.