Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 882/897,183/948,553/832
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 882,183,553
Greatest Common Factor of Numerators i.e. GCF of 882,183,553 is 1 .
LCM of Denominators means LCM of 897,948,832 as per the given fractions.
LCM of 897,948,832 is 4535232 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 882,183,553
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Greatest Common Factor
We found the factors 882,183,553 . The biggest common factor number is the GCF number.
So the greatest common factor 882,183,553 is 1.
Lets's calculate LCM of 897,948,832
2 | 897, 948, 832 |
2 | 897, 474, 416 |
3 | 897, 237, 208 |
13 | 299, 79, 208 |
23, 79, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 23 x 79 x 16 = 4535232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4535232
Therefore, the GCF of Fractions 882/897,183/948,553/832 is 1/4535232
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 897,948,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,948,832) = 1
common factors(in case of two or more numbers have common factors) = 156
GCF(897,948,832) x common factors =1 x 156 = 156
LCM(897,948,832) = ( 897 × 948 × 832 ) / 156
LCM(897,948,832) = 707496192 / 156
LCM(897,948,832) = 4535232
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 882/897, 183/948, 553/832?
Answer: GCF of Numerators as per given numbers 882/897, 183/948, 553/832 is
GCF of Numerators i.e. for 882,183,553 is 1
LCM of denominators i.e. for 897,948,832 is 4535232.
Thus, GCF of Fractions is 1/4535232.Finally, GCF of Fractions for 882/897, 183/948, 553/832 is 1/4535232.