Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/70,37/24,42/469,446/714
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 6,37,42,446
Greatest Common Factor of Numerators i.e. GCF of 6,37,42,446 is 1 .
LCM of Denominators means LCM of 70,24,469,714 as per the given fractions.
LCM of 70,24,469,714 is 956760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,37,42,446
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
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 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Greatest Common Factor
We found the factors 6,37,42,446 . The biggest common factor number is the GCF number.
So the greatest common factor 6,37,42,446 is 1.
Lets's calculate LCM of 70,24,469,714
2 | 70, 24, 469, 714 |
3 | 35, 12, 469, 357 |
7 | 35, 4, 469, 119 |
5, 4, 67, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 4 x 67 x 17 = 956760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/956760
Therefore, the GCF of Fractions 6/70,37/24,42/469,446/714 is 1/956760
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 70,24,469,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,24,469,714) = 1
common factors(in case of two or more numbers have common factors) = 588
GCF(70,24,469,714) x common factors =1 x 588 = 588
LCM(70,24,469,714) = ( 70 × 24 × 469 × 714 ) / 588
LCM(70,24,469,714) = 562574880 / 588
LCM(70,24,469,714) = 956760
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 6/70, 37/24, 42/469, 446/714?
Answer: GCF of Numerators as per given numbers 6/70, 37/24, 42/469, 446/714 is
GCF of Numerators i.e. for 6,37,42,446 is 1
LCM of denominators i.e. for 70,24,469,714 is 956760.
Thus, GCF of Fractions is 1/956760.Finally, GCF of Fractions for 6/70, 37/24, 42/469, 446/714 is 1/956760.