Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 627/374,8680/888
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 627,8680
Greatest Common Factor of Numerators i.e. GCF of 627,8680 is 1 .
LCM of Denominators means LCM of 374,888 as per the given fractions.
LCM of 374,888 is 166056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 627,8680
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 8680
List of positive integer factors of 8680 that divides 8680 without a remainder.
1,2,4,5,7,8,10,14,20,28,31,35,40,56,62,70,124,140,155,217,248,280,310,434,620,868,1085,1240,1736,2170,4340,8680
Greatest Common Factor
We found the factors 627,8680 . The biggest common factor number is the GCF number.
So the greatest common factor 627,8680 is 1.
Lets's calculate LCM of 374,888
2 | 374, 888 |
187, 444 |
∴ So the LCM of the given numbers is 2 x 187 x 444 = 166056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166056
Therefore, the GCF of Fractions 627/374,8680/888 is 1/166056
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 374,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,888) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,888) x common factors =2 x 1 = 2
LCM(374,888) = ( 374 × 888 ) / 2
LCM(374,888) = 332112 / 2
LCM(374,888) = 166056
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 627/374, 8680/888?
Answer: GCF of Numerators as per given numbers 627/374, 8680/888 is
GCF of Numerators i.e. for 627,8680 is 1
LCM of denominators i.e. for 374,888 is 166056.
Thus, GCF of Fractions is 1/166056.Finally, GCF of Fractions for 627/374, 8680/888 is 1/166056.