Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/445,70/487,308/428
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 21,70,308
Greatest Common Factor of Numerators i.e. GCF of 21,70,308 is 7 .
LCM of Denominators means LCM of 445,487,428 as per the given fractions.
LCM of 445,487,428 is 92754020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,70,308
7 | 21, 70, 308 |
3, 10, 44 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
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 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 21,70,308 . The biggest common factor number is the GCF number.
So the greatest common factor 21,70,308 is 7.
Lets's calculate LCM of 445,487,428
Given numbers has no common factors except 1. So, there LCM is their product i.e 92754020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/92754020
Therefore, the GCF of Fractions 21/445,70/487,308/428 is 7/92754020
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 445,487,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,487,428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(445,487,428) x common factors =1 x 1 = 1
LCM(445,487,428) = ( 445 × 487 × 428 ) / 1
LCM(445,487,428) = 92754020 / 1
LCM(445,487,428) = 92754020
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 21/445, 70/487, 308/428?
Answer: GCF of Numerators as per given numbers 21/445, 70/487, 308/428 is
GCF of Numerators i.e. for 21,70,308 is 7
LCM of denominators i.e. for 445,487,428 is 92754020.
Thus, GCF of Fractions is 7/92754020.Finally, GCF of Fractions for 21/445, 70/487, 308/428 is 7/92754020.