Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/102,98/820,687/683
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 60,98,687
Greatest Common Factor of Numerators i.e. GCF of 60,98,687 is 1 .
LCM of Denominators means LCM of 102,820,683 as per the given fractions.
LCM of 102,820,683 is 28563060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,98,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Greatest Common Factor
We found the factors 60,98,687 . The biggest common factor number is the GCF number.
So the greatest common factor 60,98,687 is 1.
Lets's calculate LCM of 102,820,683
2 | 102, 820, 683 |
51, 410, 683 |
∴ So the LCM of the given numbers is 2 x 51 x 410 x 683 = 28563060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28563060
Therefore, the GCF of Fractions 60/102,98/820,687/683 is 1/28563060
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 102,820,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,820,683) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(102,820,683) x common factors =1 x 2 = 2
LCM(102,820,683) = ( 102 × 820 × 683 ) / 2
LCM(102,820,683) = 57126120 / 2
LCM(102,820,683) = 28563060
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 60/102, 98/820, 687/683?
Answer: GCF of Numerators as per given numbers 60/102, 98/820, 687/683 is
GCF of Numerators i.e. for 60,98,687 is 1
LCM of denominators i.e. for 102,820,683 is 28563060.
Thus, GCF of Fractions is 1/28563060.Finally, GCF of Fractions for 60/102, 98/820, 687/683 is 1/28563060.