Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 597/152,1872/497
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 597,1872
Greatest Common Factor of Numerators i.e. GCF of 597,1872 is 3 .
LCM of Denominators means LCM of 152,497 as per the given fractions.
LCM of 152,497 is 75544 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 597,1872
3 | 597, 1872 |
199, 624 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 1872
List of positive integer factors of 1872 that divides 1872 without a remainder.
1,2,3,4,6,8,9,12,13,16,18,24,26,36,39,48,52,72,78,104,117,144,156,208,234,312,468,624,936,1872
Greatest Common Factor
We found the factors 597,1872 . The biggest common factor number is the GCF number.
So the greatest common factor 597,1872 is 3.
Lets's calculate LCM of 152,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 75544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/75544
Therefore, the GCF of Fractions 597/152,1872/497 is 3/75544
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 152,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(152,497) x common factors =1 x 1 = 1
LCM(152,497) = ( 152 × 497 ) / 1
LCM(152,497) = 75544 / 1
LCM(152,497) = 75544
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 597/152, 1872/497?
Answer: GCF of Numerators as per given numbers 597/152, 1872/497 is
GCF of Numerators i.e. for 597,1872 is 3
LCM of denominators i.e. for 152,497 is 75544.
Thus, GCF of Fractions is 3/75544.Finally, GCF of Fractions for 597/152, 1872/497 is 3/75544.