Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 497/609,2128/336
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 497,2128
Greatest Common Factor of Numerators i.e. GCF of 497,2128 is 7 .
LCM of Denominators means LCM of 609,336 as per the given fractions.
LCM of 609,336 is 9744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 497,2128
7 | 497, 2128 |
71, 304 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 2128
List of positive integer factors of 2128 that divides 2128 without a remainder.
1,2,4,7,8,14,16,19,28,38,56,76,112,133,152,266,304,532,1064,2128
Greatest Common Factor
We found the factors 497,2128 . The biggest common factor number is the GCF number.
So the greatest common factor 497,2128 is 7.
Lets's calculate LCM of 609,336
3 | 609, 336 |
7 | 203, 112 |
29, 16 |
∴ So the LCM of the given numbers is 3 x 7 x 29 x 16 = 9744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/9744
Therefore, the GCF of Fractions 497/609,2128/336 is 7/9744
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 609,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,336) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(609,336) x common factors =21 x 1 = 21
LCM(609,336) = ( 609 × 336 ) / 21
LCM(609,336) = 204624 / 21
LCM(609,336) = 9744
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 497/609, 2128/336?
Answer: GCF of Numerators as per given numbers 497/609, 2128/336 is
GCF of Numerators i.e. for 497,2128 is 7
LCM of denominators i.e. for 609,336 is 9744.
Thus, GCF of Fractions is 7/9744.Finally, GCF of Fractions for 497/609, 2128/336 is 7/9744.