Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 429/964,8526/9455
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 429,8526
Greatest Common Factor of Numerators i.e. GCF of 429,8526 is 3 .
LCM of Denominators means LCM of 964,9455 as per the given fractions.
LCM of 964,9455 is 9114620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 429,8526
3 | 429, 8526 |
143, 2842 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 8526
List of positive integer factors of 8526 that divides 8526 without a remainder.
1,2,3,6,7,14,21,29,42,49,58,87,98,147,174,203,294,406,609,1218,1421,2842,4263,8526
Greatest Common Factor
We found the factors 429,8526 . The biggest common factor number is the GCF number.
So the greatest common factor 429,8526 is 3.
Lets's calculate LCM of 964,9455
Given numbers has no common factors except 1. So, there LCM is their product i.e 9114620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9114620
Therefore, the GCF of Fractions 429/964,8526/9455 is 3/9114620
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 964,9455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,9455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,9455) x common factors =1 x 1 = 1
LCM(964,9455) = ( 964 × 9455 ) / 1
LCM(964,9455) = 9114620 / 1
LCM(964,9455) = 9114620
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 429/964, 8526/9455?
Answer: GCF of Numerators as per given numbers 429/964, 8526/9455 is
GCF of Numerators i.e. for 429,8526 is 3
LCM of denominators i.e. for 964,9455 is 9114620.
Thus, GCF of Fractions is 3/9114620.Finally, GCF of Fractions for 429/964, 8526/9455 is 3/9114620.