Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/447,750/643,940/683
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 720,750,940
Greatest Common Factor of Numerators i.e. GCF of 720,750,940 is 10 .
LCM of Denominators means LCM of 447,643,683 as per the given fractions.
LCM of 447,643,683 is 196308543 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 720,750,940
2 | 720, 750, 940 |
5 | 360, 375, 470 |
72, 75, 94 |
∴ So the GCF of the given numbers is 2 x 5 = 10
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
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 720,750,940 . The biggest common factor number is the GCF number.
So the greatest common factor 720,750,940 is 10.
Lets's calculate LCM of 447,643,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 196308543
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/196308543
Therefore, the GCF of Fractions 720/447,750/643,940/683 is 10/196308543
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 447,643,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,643,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(447,643,683) x common factors =1 x 1 = 1
LCM(447,643,683) = ( 447 × 643 × 683 ) / 1
LCM(447,643,683) = 196308543 / 1
LCM(447,643,683) = 196308543
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 720/447, 750/643, 940/683?
Answer: GCF of Numerators as per given numbers 720/447, 750/643, 940/683 is
GCF of Numerators i.e. for 720,750,940 is 10
LCM of denominators i.e. for 447,643,683 is 196308543.
Thus, GCF of Fractions is 10/196308543.Finally, GCF of Fractions for 720/447, 750/643, 940/683 is 10/196308543.