Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/902,70/881,449/744
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 37,70,449
Greatest Common Factor of Numerators i.e. GCF of 37,70,449 is 1 .
LCM of Denominators means LCM of 902,881,744 as per the given fractions.
LCM of 902,881,744 is 295614264 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 37,70,449
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Greatest Common Factor
We found the factors 37,70,449 . The biggest common factor number is the GCF number.
So the greatest common factor 37,70,449 is 1.
Lets's calculate LCM of 902,881,744
2 | 902, 881, 744 |
451, 881, 372 |
∴ So the LCM of the given numbers is 2 x 451 x 881 x 372 = 295614264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/295614264
Therefore, the GCF of Fractions 37/902,70/881,449/744 is 1/295614264
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 902,881,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,881,744) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(902,881,744) x common factors =1 x 2 = 2
LCM(902,881,744) = ( 902 × 881 × 744 ) / 2
LCM(902,881,744) = 591228528 / 2
LCM(902,881,744) = 295614264
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 37/902, 70/881, 449/744?
Answer: GCF of Numerators as per given numbers 37/902, 70/881, 449/744 is
GCF of Numerators i.e. for 37,70,449 is 1
LCM of denominators i.e. for 902,881,744 is 295614264.
Thus, GCF of Fractions is 1/295614264.Finally, GCF of Fractions for 37/902, 70/881, 449/744 is 1/295614264.