Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 740/25,132/3448
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 740,132
Greatest Common Factor of Numerators i.e. GCF of 740,132 is 4 .
LCM of Denominators means LCM of 25,3448 as per the given fractions.
LCM of 25,3448 is 86200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 740,132
2 | 740, 132 |
2 | 370, 66 |
185, 33 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 740,132 . The biggest common factor number is the GCF number.
So the greatest common factor 740,132 is 4.
Lets's calculate LCM of 25,3448
Given numbers has no common factors except 1. So, there LCM is their product i.e 86200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/86200
Therefore, the GCF of Fractions 740/25,132/3448 is 4/86200
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 25,3448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,3448) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,3448) x common factors =1 x 1 = 1
LCM(25,3448) = ( 25 × 3448 ) / 1
LCM(25,3448) = 86200 / 1
LCM(25,3448) = 86200
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 740/25, 132/3448?
Answer: GCF of Numerators as per given numbers 740/25, 132/3448 is
GCF of Numerators i.e. for 740,132 is 4
LCM of denominators i.e. for 25,3448 is 86200.
Thus, GCF of Fractions is 4/86200.Finally, GCF of Fractions for 740/25, 132/3448 is 4/86200.