Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 758/80,1698/575
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 758,1698
Greatest Common Factor of Numerators i.e. GCF of 758,1698 is 2 .
LCM of Denominators means LCM of 80,575 as per the given fractions.
LCM of 80,575 is 9200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 758,1698
2 | 758, 1698 |
379, 849 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 1698
List of positive integer factors of 1698 that divides 1698 without a remainder.
1,2,3,6,283,566,849,1698
Greatest Common Factor
We found the factors 758,1698 . The biggest common factor number is the GCF number.
So the greatest common factor 758,1698 is 2.
Lets's calculate LCM of 80,575
5 | 80, 575 |
16, 115 |
∴ So the LCM of the given numbers is 5 x 16 x 115 = 9200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9200
Therefore, the GCF of Fractions 758/80,1698/575 is 2/9200
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 80,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,575) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(80,575) x common factors =5 x 1 = 5
LCM(80,575) = ( 80 × 575 ) / 5
LCM(80,575) = 46000 / 5
LCM(80,575) = 9200
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 758/80, 1698/575?
Answer: GCF of Numerators as per given numbers 758/80, 1698/575 is
GCF of Numerators i.e. for 758,1698 is 2
LCM of denominators i.e. for 80,575 is 9200.
Thus, GCF of Fractions is 2/9200.Finally, GCF of Fractions for 758/80, 1698/575 is 2/9200.