Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8448/30,1385/435
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 8448,1385
Greatest Common Factor of Numerators i.e. GCF of 8448,1385 is 1 .
LCM of Denominators means LCM of 30,435 as per the given fractions.
LCM of 30,435 is 870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8448,1385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8448
List of positive integer factors of 8448 that divides 8448 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,256,264,352,384,528,704,768,1056,1408,2112,2816,4224,8448
Factors of 1385
List of positive integer factors of 1385 that divides 1385 without a remainder.
1,5,277,1385
Greatest Common Factor
We found the factors 8448,1385 . The biggest common factor number is the GCF number.
So the greatest common factor 8448,1385 is 1.
Lets's calculate LCM of 30,435
3 | 30, 435 |
5 | 10, 145 |
2, 29 |
∴ So the LCM of the given numbers is 3 x 5 x 2 x 29 = 870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/870
Therefore, the GCF of Fractions 8448/30,1385/435 is 1/870
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 30,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,435) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(30,435) x common factors =15 x 1 = 15
LCM(30,435) = ( 30 × 435 ) / 15
LCM(30,435) = 13050 / 15
LCM(30,435) = 870
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 8448/30, 1385/435?
Answer: GCF of Numerators as per given numbers 8448/30, 1385/435 is
GCF of Numerators i.e. for 8448,1385 is 1
LCM of denominators i.e. for 30,435 is 870.
Thus, GCF of Fractions is 1/870.Finally, GCF of Fractions for 8448/30, 1385/435 is 1/870.