Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 687/4834,690/7439
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 687,690
Greatest Common Factor of Numerators i.e. GCF of 687,690 is 3 .
LCM of Denominators means LCM of 4834,7439 as per the given fractions.
LCM of 4834,7439 is 35960126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 687,690
3 | 687, 690 |
229, 230 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 687,690 . The biggest common factor number is the GCF number.
So the greatest common factor 687,690 is 3.
Lets's calculate LCM of 4834,7439
Given numbers has no common factors except 1. So, there LCM is their product i.e 35960126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/35960126
Therefore, the GCF of Fractions 687/4834,690/7439 is 3/35960126
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 4834,7439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4834,7439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4834,7439) x common factors =1 x 1 = 1
LCM(4834,7439) = ( 4834 × 7439 ) / 1
LCM(4834,7439) = 35960126 / 1
LCM(4834,7439) = 35960126
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 687/4834, 690/7439?
Answer: GCF of Numerators as per given numbers 687/4834, 690/7439 is
GCF of Numerators i.e. for 687,690 is 3
LCM of denominators i.e. for 4834,7439 is 35960126.
Thus, GCF of Fractions is 3/35960126.Finally, GCF of Fractions for 687/4834, 690/7439 is 3/35960126.