Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 698/27,438/33,936/237
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 698,438,936
Greatest Common Factor of Numerators i.e. GCF of 698,438,936 is 2 .
LCM of Denominators means LCM of 27,33,237 as per the given fractions.
LCM of 27,33,237 is 23463 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 698,438,936
2 | 698, 438, 936 |
349, 219, 468 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Greatest Common Factor
We found the factors 698,438,936 . The biggest common factor number is the GCF number.
So the greatest common factor 698,438,936 is 2.
Lets's calculate LCM of 27,33,237
3 | 27, 33, 237 |
9, 11, 79 |
∴ So the LCM of the given numbers is 3 x 9 x 11 x 79 = 23463
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23463
Therefore, the GCF of Fractions 698/27,438/33,936/237 is 2/23463
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 27,33,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,33,237) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(27,33,237) x common factors =3 x 3 = 9
LCM(27,33,237) = ( 27 × 33 × 237 ) / 9
LCM(27,33,237) = 211167 / 9
LCM(27,33,237) = 23463
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 698/27, 438/33, 936/237?
Answer: GCF of Numerators as per given numbers 698/27, 438/33, 936/237 is
GCF of Numerators i.e. for 698,438,936 is 2
LCM of denominators i.e. for 27,33,237 is 23463.
Thus, GCF of Fractions is 2/23463.Finally, GCF of Fractions for 698/27, 438/33, 936/237 is 2/23463.