Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 435/79,378/8403
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 435,378
Greatest Common Factor of Numerators i.e. GCF of 435,378 is 3 .
LCM of Denominators means LCM of 79,8403 as per the given fractions.
LCM of 79,8403 is 663837 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 435,378
3 | 435, 378 |
145, 126 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 435,378 . The biggest common factor number is the GCF number.
So the greatest common factor 435,378 is 3.
Lets's calculate LCM of 79,8403
Given numbers has no common factors except 1. So, there LCM is their product i.e 663837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/663837
Therefore, the GCF of Fractions 435/79,378/8403 is 3/663837
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 79,8403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,8403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,8403) x common factors =1 x 1 = 1
LCM(79,8403) = ( 79 × 8403 ) / 1
LCM(79,8403) = 663837 / 1
LCM(79,8403) = 663837
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 435/79, 378/8403?
Answer: GCF of Numerators as per given numbers 435/79, 378/8403 is
GCF of Numerators i.e. for 435,378 is 3
LCM of denominators i.e. for 79,8403 is 663837.
Thus, GCF of Fractions is 3/663837.Finally, GCF of Fractions for 435/79, 378/8403 is 3/663837.