Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/97,80/47,48/868,720/243
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 4,80,48,720
Greatest Common Factor of Numerators i.e. GCF of 4,80,48,720 is 4 .
LCM of Denominators means LCM of 97,47,868,243 as per the given fractions.
LCM of 97,47,868,243 is 961602516 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,80,48,720
2 | 4, 80, 48, 720 |
2 | 2, 40, 24, 360 |
1, 20, 12, 180 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 4,80,48,720 . The biggest common factor number is the GCF number.
So the greatest common factor 4,80,48,720 is 4.
Lets's calculate LCM of 97,47,868,243
Given numbers has no common factors except 1. So, there LCM is their product i.e 961602516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/961602516
Therefore, the GCF of Fractions 4/97,80/47,48/868,720/243 is 4/961602516
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 97,47,868,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,47,868,243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,47,868,243) x common factors =1 x 1 = 1
LCM(97,47,868,243) = ( 97 × 47 × 868 × 243 ) / 1
LCM(97,47,868,243) = 961602516 / 1
LCM(97,47,868,243) = 961602516
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 4/97, 80/47, 48/868, 720/243?
Answer: GCF of Numerators as per given numbers 4/97, 80/47, 48/868, 720/243 is
GCF of Numerators i.e. for 4,80,48,720 is 4
LCM of denominators i.e. for 97,47,868,243 is 961602516.
Thus, GCF of Fractions is 4/961602516.Finally, GCF of Fractions for 4/97, 80/47, 48/868, 720/243 is 4/961602516.