Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/99,74/59,79/53,54/947
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 72,74,79,54
Greatest Common Factor of Numerators i.e. GCF of 72,74,79,54 is 1 .
LCM of Denominators means LCM of 99,59,53,947 as per the given fractions.
LCM of 99,59,53,947 is 293165631 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,74,79,54
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Greatest Common Factor
We found the factors 72,74,79,54 . The biggest common factor number is the GCF number.
So the greatest common factor 72,74,79,54 is 1.
Lets's calculate LCM of 99,59,53,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 293165631
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293165631
Therefore, the GCF of Fractions 72/99,74/59,79/53,54/947 is 1/293165631
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 99,59,53,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,59,53,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,59,53,947) x common factors =1 x 1 = 1
LCM(99,59,53,947) = ( 99 × 59 × 53 × 947 ) / 1
LCM(99,59,53,947) = 293165631 / 1
LCM(99,59,53,947) = 293165631
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 72/99, 74/59, 79/53, 54/947?
Answer: GCF of Numerators as per given numbers 72/99, 74/59, 79/53, 54/947 is
GCF of Numerators i.e. for 72,74,79,54 is 1
LCM of denominators i.e. for 99,59,53,947 is 293165631.
Thus, GCF of Fractions is 1/293165631.Finally, GCF of Fractions for 72/99, 74/59, 79/53, 54/947 is 1/293165631.