Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 53/634,49/452,406/758
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 53,49,406
Greatest Common Factor of Numerators i.e. GCF of 53,49,406 is 1 .
LCM of Denominators means LCM of 634,452,758 as per the given fractions.
LCM of 634,452,758 is 54304636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 53,49,406
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 53,49,406 . The biggest common factor number is the GCF number.
So the greatest common factor 53,49,406 is 1.
Lets's calculate LCM of 634,452,758
2 | 634, 452, 758 |
317, 226, 379 |
∴ So the LCM of the given numbers is 2 x 317 x 226 x 379 = 54304636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54304636
Therefore, the GCF of Fractions 53/634,49/452,406/758 is 1/54304636
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 634,452,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,452,758) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(634,452,758) x common factors =2 x 2 = 4
LCM(634,452,758) = ( 634 × 452 × 758 ) / 4
LCM(634,452,758) = 217218544 / 4
LCM(634,452,758) = 54304636
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 53/634, 49/452, 406/758?
Answer: GCF of Numerators as per given numbers 53/634, 49/452, 406/758 is
GCF of Numerators i.e. for 53,49,406 is 1
LCM of denominators i.e. for 634,452,758 is 54304636.
Thus, GCF of Fractions is 1/54304636.Finally, GCF of Fractions for 53/634, 49/452, 406/758 is 1/54304636.