Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 633/32,679/51,940/385
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 633,679,940
Greatest Common Factor of Numerators i.e. GCF of 633,679,940 is 1 .
LCM of Denominators means LCM of 32,51,385 as per the given fractions.
LCM of 32,51,385 is 628320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 633,679,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 633,679,940 . The biggest common factor number is the GCF number.
So the greatest common factor 633,679,940 is 1.
Lets's calculate LCM of 32,51,385
Given numbers has no common factors except 1. So, there LCM is their product i.e 628320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/628320
Therefore, the GCF of Fractions 633/32,679/51,940/385 is 1/628320
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 32,51,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,51,385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,51,385) x common factors =1 x 1 = 1
LCM(32,51,385) = ( 32 × 51 × 385 ) / 1
LCM(32,51,385) = 628320 / 1
LCM(32,51,385) = 628320
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 633/32, 679/51, 940/385?
Answer: GCF of Numerators as per given numbers 633/32, 679/51, 940/385 is
GCF of Numerators i.e. for 633,679,940 is 1
LCM of denominators i.e. for 32,51,385 is 628320.
Thus, GCF of Fractions is 1/628320.Finally, GCF of Fractions for 633/32, 679/51, 940/385 is 1/628320.