Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/36,75/49,58/873,346/975
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 6,75,58,346
Greatest Common Factor of Numerators i.e. GCF of 6,75,58,346 is 1 .
LCM of Denominators means LCM of 36,49,873,975 as per the given fractions.
LCM of 36,49,873,975 is 55610100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,75,58,346
∴ 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 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Greatest Common Factor
We found the factors 6,75,58,346 . The biggest common factor number is the GCF number.
So the greatest common factor 6,75,58,346 is 1.
Lets's calculate LCM of 36,49,873,975
3 | 36, 49, 873, 975 |
3 | 12, 49, 291, 325 |
4, 49, 97, 325 |
∴ So the LCM of the given numbers is 3 x 3 x 4 x 49 x 97 x 325 = 55610100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55610100
Therefore, the GCF of Fractions 6/36,75/49,58/873,346/975 is 1/55610100
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 36,49,873,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,49,873,975) = 1
common factors(in case of two or more numbers have common factors) = 27
GCF(36,49,873,975) x common factors =1 x 27 = 27
LCM(36,49,873,975) = ( 36 × 49 × 873 × 975 ) / 27
LCM(36,49,873,975) = 1501472700 / 27
LCM(36,49,873,975) = 55610100
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 6/36, 75/49, 58/873, 346/975?
Answer: GCF of Numerators as per given numbers 6/36, 75/49, 58/873, 346/975 is
GCF of Numerators i.e. for 6,75,58,346 is 1
LCM of denominators i.e. for 36,49,873,975 is 55610100.
Thus, GCF of Fractions is 1/55610100.Finally, GCF of Fractions for 6/36, 75/49, 58/873, 346/975 is 1/55610100.