Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 775/67,690/4315
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 775,690
Greatest Common Factor of Numerators i.e. GCF of 775,690 is 5 .
LCM of Denominators means LCM of 67,4315 as per the given fractions.
LCM of 67,4315 is 289105 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 775,690
5 | 775, 690 |
155, 138 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
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 775,690 . The biggest common factor number is the GCF number.
So the greatest common factor 775,690 is 5.
Lets's calculate LCM of 67,4315
Given numbers has no common factors except 1. So, there LCM is their product i.e 289105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/289105
Therefore, the GCF of Fractions 775/67,690/4315 is 5/289105
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 67,4315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,4315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,4315) x common factors =1 x 1 = 1
LCM(67,4315) = ( 67 × 4315 ) / 1
LCM(67,4315) = 289105 / 1
LCM(67,4315) = 289105
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 775/67, 690/4315?
Answer: GCF of Numerators as per given numbers 775/67, 690/4315 is
GCF of Numerators i.e. for 775,690 is 5
LCM of denominators i.e. for 67,4315 is 289105.
Thus, GCF of Fractions is 5/289105.Finally, GCF of Fractions for 775/67, 690/4315 is 5/289105.