Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/798,649/837
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 55,649
Greatest Common Factor of Numerators i.e. GCF of 55,649 is 11 .
LCM of Denominators means LCM of 798,837 as per the given fractions.
LCM of 798,837 is 222642 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 55,649
11 | 55, 649 |
5, 59 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 55,649 . The biggest common factor number is the GCF number.
So the greatest common factor 55,649 is 11.
Lets's calculate LCM of 798,837
3 | 798, 837 |
266, 279 |
∴ So the LCM of the given numbers is 3 x 266 x 279 = 222642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/222642
Therefore, the GCF of Fractions 55/798,649/837 is 11/222642
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 798,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,837) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(798,837) x common factors =3 x 1 = 3
LCM(798,837) = ( 798 × 837 ) / 3
LCM(798,837) = 667926 / 3
LCM(798,837) = 222642
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 55/798, 649/837?
Answer: GCF of Numerators as per given numbers 55/798, 649/837 is
GCF of Numerators i.e. for 55,649 is 11
LCM of denominators i.e. for 798,837 is 222642.
Thus, GCF of Fractions is 11/222642.Finally, GCF of Fractions for 55/798, 649/837 is 11/222642.