Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 45/61,68/73,90/97,21/436
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 45,68,90,21
Greatest Common Factor of Numerators i.e. GCF of 45,68,90,21 is 1 .
LCM of Denominators means LCM of 61,73,97,436 as per the given fractions.
LCM of 61,73,97,436 is 188326276 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 45,68,90,21
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Greatest Common Factor
We found the factors 45,68,90,21 . The biggest common factor number is the GCF number.
So the greatest common factor 45,68,90,21 is 1.
Lets's calculate LCM of 61,73,97,436
Given numbers has no common factors except 1. So, there LCM is their product i.e 188326276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188326276
Therefore, the GCF of Fractions 45/61,68/73,90/97,21/436 is 1/188326276
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 61,73,97,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,73,97,436) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,73,97,436) x common factors =1 x 1 = 1
LCM(61,73,97,436) = ( 61 × 73 × 97 × 436 ) / 1
LCM(61,73,97,436) = 188326276 / 1
LCM(61,73,97,436) = 188326276
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 45/61, 68/73, 90/97, 21/436?
Answer: GCF of Numerators as per given numbers 45/61, 68/73, 90/97, 21/436 is
GCF of Numerators i.e. for 45,68,90,21 is 1
LCM of denominators i.e. for 61,73,97,436 is 188326276.
Thus, GCF of Fractions is 1/188326276.Finally, GCF of Fractions for 45/61, 68/73, 90/97, 21/436 is 1/188326276.