Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 747/474,6660/202
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 747,6660
Greatest Common Factor of Numerators i.e. GCF of 747,6660 is 9 .
LCM of Denominators means LCM of 474,202 as per the given fractions.
LCM of 474,202 is 47874 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 747,6660
3 | 747, 6660 |
3 | 249, 2220 |
83, 740 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 6660
List of positive integer factors of 6660 that divides 6660 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,37,45,60,74,90,111,148,180,185,222,333,370,444,555,666,740,1110,1332,1665,2220,3330,6660
Greatest Common Factor
We found the factors 747,6660 . The biggest common factor number is the GCF number.
So the greatest common factor 747,6660 is 9.
Lets's calculate LCM of 474,202
2 | 474, 202 |
237, 101 |
∴ So the LCM of the given numbers is 2 x 237 x 101 = 47874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/47874
Therefore, the GCF of Fractions 747/474,6660/202 is 9/47874
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 474,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,202) x common factors =2 x 1 = 2
LCM(474,202) = ( 474 × 202 ) / 2
LCM(474,202) = 95748 / 2
LCM(474,202) = 47874
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 747/474, 6660/202?
Answer: GCF of Numerators as per given numbers 747/474, 6660/202 is
GCF of Numerators i.e. for 747,6660 is 9
LCM of denominators i.e. for 474,202 is 47874.
Thus, GCF of Fractions is 9/47874.Finally, GCF of Fractions for 747/474, 6660/202 is 9/47874.