Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5672/26,1989/688
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 5672,1989
Greatest Common Factor of Numerators i.e. GCF of 5672,1989 is 1 .
LCM of Denominators means LCM of 26,688 as per the given fractions.
LCM of 26,688 is 8944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5672,1989
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5672
List of positive integer factors of 5672 that divides 5672 without a remainder.
1,2,4,8,709,1418,2836,5672
Factors of 1989
List of positive integer factors of 1989 that divides 1989 without a remainder.
1,3,9,13,17,39,51,117,153,221,663,1989
Greatest Common Factor
We found the factors 5672,1989 . The biggest common factor number is the GCF number.
So the greatest common factor 5672,1989 is 1.
Lets's calculate LCM of 26,688
2 | 26, 688 |
13, 344 |
∴ So the LCM of the given numbers is 2 x 13 x 344 = 8944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8944
Therefore, the GCF of Fractions 5672/26,1989/688 is 1/8944
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 26,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,688) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,688) x common factors =2 x 1 = 2
LCM(26,688) = ( 26 × 688 ) / 2
LCM(26,688) = 17888 / 2
LCM(26,688) = 8944
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 5672/26, 1989/688?
Answer: GCF of Numerators as per given numbers 5672/26, 1989/688 is
GCF of Numerators i.e. for 5672,1989 is 1
LCM of denominators i.e. for 26,688 is 8944.
Thus, GCF of Fractions is 1/8944.Finally, GCF of Fractions for 5672/26, 1989/688 is 1/8944.