Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5310/20,1169/690
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 5310,1169
Greatest Common Factor of Numerators i.e. GCF of 5310,1169 is 1 .
LCM of Denominators means LCM of 20,690 as per the given fractions.
LCM of 20,690 is 1380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5310,1169
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5310
List of positive integer factors of 5310 that divides 5310 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,59,90,118,177,295,354,531,590,885,1062,1770,2655,5310
Factors of 1169
List of positive integer factors of 1169 that divides 1169 without a remainder.
1,7,167,1169
Greatest Common Factor
We found the factors 5310,1169 . The biggest common factor number is the GCF number.
So the greatest common factor 5310,1169 is 1.
Lets's calculate LCM of 20,690
2 | 20, 690 |
5 | 10, 345 |
2, 69 |
∴ So the LCM of the given numbers is 2 x 5 x 2 x 69 = 1380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1380
Therefore, the GCF of Fractions 5310/20,1169/690 is 1/1380
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 20,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,690) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(20,690) x common factors =10 x 1 = 10
LCM(20,690) = ( 20 × 690 ) / 10
LCM(20,690) = 13800 / 10
LCM(20,690) = 1380
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 5310/20, 1169/690?
Answer: GCF of Numerators as per given numbers 5310/20, 1169/690 is
GCF of Numerators i.e. for 5310,1169 is 1
LCM of denominators i.e. for 20,690 is 1380.
Thus, GCF of Fractions is 1/1380.Finally, GCF of Fractions for 5310/20, 1169/690 is 1/1380.