Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 956/824,154/231,436/353
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 956,154,436
Greatest Common Factor of Numerators i.e. GCF of 956,154,436 is 2 .
LCM of Denominators means LCM of 824,231,353 as per the given fractions.
LCM of 824,231,353 is 67191432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 956,154,436
2 | 956, 154, 436 |
478, 77, 218 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 956,154,436 . The biggest common factor number is the GCF number.
So the greatest common factor 956,154,436 is 2.
Lets's calculate LCM of 824,231,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 67191432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67191432
Therefore, the GCF of Fractions 956/824,154/231,436/353 is 2/67191432
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 824,231,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,231,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(824,231,353) x common factors =1 x 1 = 1
LCM(824,231,353) = ( 824 × 231 × 353 ) / 1
LCM(824,231,353) = 67191432 / 1
LCM(824,231,353) = 67191432
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 956/824, 154/231, 436/353?
Answer: GCF of Numerators as per given numbers 956/824, 154/231, 436/353 is
GCF of Numerators i.e. for 956,154,436 is 2
LCM of denominators i.e. for 824,231,353 is 67191432.
Thus, GCF of Fractions is 2/67191432.Finally, GCF of Fractions for 956/824, 154/231, 436/353 is 2/67191432.