Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/79,46/48,99/53,43/421
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 94,46,99,43
Greatest Common Factor of Numerators i.e. GCF of 94,46,99,43 is 1 .
LCM of Denominators means LCM of 79,48,53,421 as per the given fractions.
LCM of 79,48,53,421 is 84610896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,46,99,43
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Greatest Common Factor
We found the factors 94,46,99,43 . The biggest common factor number is the GCF number.
So the greatest common factor 94,46,99,43 is 1.
Lets's calculate LCM of 79,48,53,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 84610896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84610896
Therefore, the GCF of Fractions 94/79,46/48,99/53,43/421 is 1/84610896
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 79,48,53,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,48,53,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,48,53,421) x common factors =1 x 1 = 1
LCM(79,48,53,421) = ( 79 × 48 × 53 × 421 ) / 1
LCM(79,48,53,421) = 84610896 / 1
LCM(79,48,53,421) = 84610896
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 94/79, 46/48, 99/53, 43/421?
Answer: GCF of Numerators as per given numbers 94/79, 46/48, 99/53, 43/421 is
GCF of Numerators i.e. for 94,46,99,43 is 1
LCM of denominators i.e. for 79,48,53,421 is 84610896.
Thus, GCF of Fractions is 1/84610896.Finally, GCF of Fractions for 94/79, 46/48, 99/53, 43/421 is 1/84610896.