Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 735/894,6877/430
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 735,6877
Greatest Common Factor of Numerators i.e. GCF of 735,6877 is 1 .
LCM of Denominators means LCM of 894,430 as per the given fractions.
LCM of 894,430 is 192210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 735,6877
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Factors of 6877
List of positive integer factors of 6877 that divides 6877 without a remainder.
1,13,23,299,529,6877
Greatest Common Factor
We found the factors 735,6877 . The biggest common factor number is the GCF number.
So the greatest common factor 735,6877 is 1.
Lets's calculate LCM of 894,430
2 | 894, 430 |
447, 215 |
∴ So the LCM of the given numbers is 2 x 447 x 215 = 192210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192210
Therefore, the GCF of Fractions 735/894,6877/430 is 1/192210
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 894,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,430) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,430) x common factors =2 x 1 = 2
LCM(894,430) = ( 894 × 430 ) / 2
LCM(894,430) = 384420 / 2
LCM(894,430) = 192210
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 735/894, 6877/430?
Answer: GCF of Numerators as per given numbers 735/894, 6877/430 is
GCF of Numerators i.e. for 735,6877 is 1
LCM of denominators i.e. for 894,430 is 192210.
Thus, GCF of Fractions is 1/192210.Finally, GCF of Fractions for 735/894, 6877/430 is 1/192210.