Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3541/429,4112/900
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 3541,4112
Greatest Common Factor of Numerators i.e. GCF of 3541,4112 is 1 .
LCM of Denominators means LCM of 429,900 as per the given fractions.
LCM of 429,900 is 128700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3541,4112
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3541
List of positive integer factors of 3541 that divides 3541 without a remainder.
1,3541
Factors of 4112
List of positive integer factors of 4112 that divides 4112 without a remainder.
1,2,4,8,16,257,514,1028,2056,4112
Greatest Common Factor
We found the factors 3541,4112 . The biggest common factor number is the GCF number.
So the greatest common factor 3541,4112 is 1.
Lets's calculate LCM of 429,900
3 | 429, 900 |
143, 300 |
∴ So the LCM of the given numbers is 3 x 143 x 300 = 128700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128700
Therefore, the GCF of Fractions 3541/429,4112/900 is 1/128700
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 429,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,900) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(429,900) x common factors =3 x 1 = 3
LCM(429,900) = ( 429 × 900 ) / 3
LCM(429,900) = 386100 / 3
LCM(429,900) = 128700
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 3541/429, 4112/900?
Answer: GCF of Numerators as per given numbers 3541/429, 4112/900 is
GCF of Numerators i.e. for 3541,4112 is 1
LCM of denominators i.e. for 429,900 is 128700.
Thus, GCF of Fractions is 1/128700.Finally, GCF of Fractions for 3541/429, 4112/900 is 1/128700.