Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4378/63,4972/849
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 4378,4972
Greatest Common Factor of Numerators i.e. GCF of 4378,4972 is 22 .
LCM of Denominators means LCM of 63,849 as per the given fractions.
LCM of 63,849 is 17829 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4378,4972
2 | 4378, 4972 |
11 | 2189, 2486 |
199, 226 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Factors of 4378
List of positive integer factors of 4378 that divides 4378 without a remainder.
1,2,11,22,199,398,2189,4378
Factors of 4972
List of positive integer factors of 4972 that divides 4972 without a remainder.
1,2,4,11,22,44,113,226,452,1243,2486,4972
Greatest Common Factor
We found the factors 4378,4972 . The biggest common factor number is the GCF number.
So the greatest common factor 4378,4972 is 22.
Lets's calculate LCM of 63,849
3 | 63, 849 |
21, 283 |
∴ So the LCM of the given numbers is 3 x 21 x 283 = 17829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/17829
Therefore, the GCF of Fractions 4378/63,4972/849 is 22/17829
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 63,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,849) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(63,849) x common factors =3 x 1 = 3
LCM(63,849) = ( 63 × 849 ) / 3
LCM(63,849) = 53487 / 3
LCM(63,849) = 17829
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 4378/63, 4972/849?
Answer: GCF of Numerators as per given numbers 4378/63, 4972/849 is
GCF of Numerators i.e. for 4378,4972 is 22
LCM of denominators i.e. for 63,849 is 17829.
Thus, GCF of Fractions is 22/17829.Finally, GCF of Fractions for 4378/63, 4972/849 is 22/17829.