Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/654,753/399,720/830
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 42,753,720
Greatest Common Factor of Numerators i.e. GCF of 42,753,720 is 3 .
LCM of Denominators means LCM of 654,399,830 as per the given fractions.
LCM of 654,399,830 is 36097530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 42,753,720
3 | 42, 753, 720 |
14, 251, 240 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
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 42,753,720 . The biggest common factor number is the GCF number.
So the greatest common factor 42,753,720 is 3.
Lets's calculate LCM of 654,399,830
2 | 654, 399, 830 |
3 | 327, 399, 415 |
109, 133, 415 |
∴ So the LCM of the given numbers is 2 x 3 x 109 x 133 x 415 = 36097530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/36097530
Therefore, the GCF of Fractions 42/654,753/399,720/830 is 3/36097530
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 654,399,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,399,830) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(654,399,830) x common factors =1 x 6 = 6
LCM(654,399,830) = ( 654 × 399 × 830 ) / 6
LCM(654,399,830) = 216585180 / 6
LCM(654,399,830) = 36097530
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 42/654, 753/399, 720/830?
Answer: GCF of Numerators as per given numbers 42/654, 753/399, 720/830 is
GCF of Numerators i.e. for 42,753,720 is 3
LCM of denominators i.e. for 654,399,830 is 36097530.
Thus, GCF of Fractions is 3/36097530.Finally, GCF of Fractions for 42/654, 753/399, 720/830 is 3/36097530.