Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2953/64,5700/777
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 2953,5700
Greatest Common Factor of Numerators i.e. GCF of 2953,5700 is 1 .
LCM of Denominators means LCM of 64,777 as per the given fractions.
LCM of 64,777 is 49728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2953,5700
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2953
List of positive integer factors of 2953 that divides 2953 without a remainder.
1,2953
Factors of 5700
List of positive integer factors of 5700 that divides 5700 without a remainder.
1,2,3,4,5,6,10,12,15,19,20,25,30,38,50,57,60,75,76,95,100,114,150,190,228,285,300,380,475,570,950,1140,1425,1900,2850,5700
Greatest Common Factor
We found the factors 2953,5700 . The biggest common factor number is the GCF number.
So the greatest common factor 2953,5700 is 1.
Lets's calculate LCM of 64,777
Given numbers has no common factors except 1. So, there LCM is their product i.e 49728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49728
Therefore, the GCF of Fractions 2953/64,5700/777 is 1/49728
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 64,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,777) x common factors =1 x 1 = 1
LCM(64,777) = ( 64 × 777 ) / 1
LCM(64,777) = 49728 / 1
LCM(64,777) = 49728
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 2953/64, 5700/777?
Answer: GCF of Numerators as per given numbers 2953/64, 5700/777 is
GCF of Numerators i.e. for 2953,5700 is 1
LCM of denominators i.e. for 64,777 is 49728.
Thus, GCF of Fractions is 1/49728.Finally, GCF of Fractions for 2953/64, 5700/777 is 1/49728.