Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1873/70,5696/865
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 1873,5696
Greatest Common Factor of Numerators i.e. GCF of 1873,5696 is 1 .
LCM of Denominators means LCM of 70,865 as per the given fractions.
LCM of 70,865 is 12110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1873,5696
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1873
List of positive integer factors of 1873 that divides 1873 without a remainder.
1,1873
Factors of 5696
List of positive integer factors of 5696 that divides 5696 without a remainder.
1,2,4,8,16,32,64,89,178,356,712,1424,2848,5696
Greatest Common Factor
We found the factors 1873,5696 . The biggest common factor number is the GCF number.
So the greatest common factor 1873,5696 is 1.
Lets's calculate LCM of 70,865
5 | 70, 865 |
14, 173 |
∴ So the LCM of the given numbers is 5 x 14 x 173 = 12110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12110
Therefore, the GCF of Fractions 1873/70,5696/865 is 1/12110
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 70,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,865) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(70,865) x common factors =5 x 1 = 5
LCM(70,865) = ( 70 × 865 ) / 5
LCM(70,865) = 60550 / 5
LCM(70,865) = 12110
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 1873/70, 5696/865?
Answer: GCF of Numerators as per given numbers 1873/70, 5696/865 is
GCF of Numerators i.e. for 1873,5696 is 1
LCM of denominators i.e. for 70,865 is 12110.
Thus, GCF of Fractions is 1/12110.Finally, GCF of Fractions for 1873/70, 5696/865 is 1/12110.