Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/38,37/37,524/607
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 21,37,524
Greatest Common Factor of Numerators i.e. GCF of 21,37,524 is 1 .
LCM of Denominators means LCM of 38,37,607 as per the given fractions.
LCM of 38,37,607 is 853442 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,37,524
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors 21,37,524 . The biggest common factor number is the GCF number.
So the greatest common factor 21,37,524 is 1.
Lets's calculate LCM of 38,37,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 853442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/853442
Therefore, the GCF of Fractions 21/38,37/37,524/607 is 1/853442
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 38,37,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,37,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,37,607) x common factors =1 x 1 = 1
LCM(38,37,607) = ( 38 × 37 × 607 ) / 1
LCM(38,37,607) = 853442 / 1
LCM(38,37,607) = 853442
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 21/38, 37/37, 524/607?
Answer: GCF of Numerators as per given numbers 21/38, 37/37, 524/607 is
GCF of Numerators i.e. for 21,37,524 is 1
LCM of denominators i.e. for 38,37,607 is 853442.
Thus, GCF of Fractions is 1/853442.Finally, GCF of Fractions for 21/38, 37/37, 524/607 is 1/853442.