Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 756/98,351/98,918/441
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 756,351,918
Greatest Common Factor of Numerators i.e. GCF of 756,351,918 is 27 .
LCM of Denominators means LCM of 98,98,441 as per the given fractions.
LCM of 98,98,441 is 882 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 756,351,918
3 | 756, 351, 918 |
3 | 252, 117, 306 |
3 | 84, 39, 102 |
28, 13, 34 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 756,351,918 . The biggest common factor number is the GCF number.
So the greatest common factor 756,351,918 is 27.
Lets's calculate LCM of 98,98,441
2 | 98, 98, 441 |
7 | 49, 49, 441 |
7 | 7, 7, 63 |
1, 1, 9 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 1 x 1 x 9 = 882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/882
Therefore, the GCF of Fractions 756/98,351/98,918/441 is 27/882
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 98,98,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,98,441) = 49
common factors(in case of two or more numbers have common factors) = 98
GCF(98,98,441) x common factors =49 x 98 = 4802
LCM(98,98,441) = ( 98 × 98 × 441 ) / 4802
LCM(98,98,441) = 4235364 / 4802
LCM(98,98,441) = 882
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 756/98, 351/98, 918/441?
Answer: GCF of Numerators as per given numbers 756/98, 351/98, 918/441 is
GCF of Numerators i.e. for 756,351,918 is 27
LCM of denominators i.e. for 98,98,441 is 882.
Thus, GCF of Fractions is 27/882.Finally, GCF of Fractions for 756/98, 351/98, 918/441 is 27/882.