Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 847/23,679/75,429/414
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 847,679,429
Greatest Common Factor of Numerators i.e. GCF of 847,679,429 is 1 .
LCM of Denominators means LCM of 23,75,414 as per the given fractions.
LCM of 23,75,414 is 10350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 847,679,429
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 847,679,429 . The biggest common factor number is the GCF number.
So the greatest common factor 847,679,429 is 1.
Lets's calculate LCM of 23,75,414
3 | 23, 75, 414 |
23 | 23, 25, 138 |
1, 25, 6 |
∴ So the LCM of the given numbers is 3 x 23 x 1 x 25 x 6 = 10350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10350
Therefore, the GCF of Fractions 847/23,679/75,429/414 is 1/10350
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 23,75,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,75,414) = 1
common factors(in case of two or more numbers have common factors) = 69
GCF(23,75,414) x common factors =1 x 69 = 69
LCM(23,75,414) = ( 23 × 75 × 414 ) / 69
LCM(23,75,414) = 714150 / 69
LCM(23,75,414) = 10350
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 847/23, 679/75, 429/414?
Answer: GCF of Numerators as per given numbers 847/23, 679/75, 429/414 is
GCF of Numerators i.e. for 847,679,429 is 1
LCM of denominators i.e. for 23,75,414 is 10350.
Thus, GCF of Fractions is 1/10350.Finally, GCF of Fractions for 847/23, 679/75, 429/414 is 1/10350.