Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/45,22/73,740/319
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 25,22,740
Greatest Common Factor of Numerators i.e. GCF of 25,22,740 is 1 .
LCM of Denominators means LCM of 45,73,319 as per the given fractions.
LCM of 45,73,319 is 1047915 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 25,22,740
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 25,22,740 . The biggest common factor number is the GCF number.
So the greatest common factor 25,22,740 is 1.
Lets's calculate LCM of 45,73,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 1047915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1047915
Therefore, the GCF of Fractions 25/45,22/73,740/319 is 1/1047915
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 45,73,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,73,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,73,319) x common factors =1 x 1 = 1
LCM(45,73,319) = ( 45 × 73 × 319 ) / 1
LCM(45,73,319) = 1047915 / 1
LCM(45,73,319) = 1047915
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 25/45, 22/73, 740/319?
Answer: GCF of Numerators as per given numbers 25/45, 22/73, 740/319 is
GCF of Numerators i.e. for 25,22,740 is 1
LCM of denominators i.e. for 45,73,319 is 1047915.
Thus, GCF of Fractions is 1/1047915.Finally, GCF of Fractions for 25/45, 22/73, 740/319 is 1/1047915.