Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/638,984/459,526/401
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 21,984,526
Greatest Common Factor of Numerators i.e. GCF of 21,984,526 is 1 .
LCM of Denominators means LCM of 638,459,401 as per the given fractions.
LCM of 638,459,401 is 117429642 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,984,526
∴ 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 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 21,984,526 . The biggest common factor number is the GCF number.
So the greatest common factor 21,984,526 is 1.
Lets's calculate LCM of 638,459,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 117429642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117429642
Therefore, the GCF of Fractions 21/638,984/459,526/401 is 1/117429642
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 638,459,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,459,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,459,401) x common factors =1 x 1 = 1
LCM(638,459,401) = ( 638 × 459 × 401 ) / 1
LCM(638,459,401) = 117429642 / 1
LCM(638,459,401) = 117429642
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 21/638, 984/459, 526/401?
Answer: GCF of Numerators as per given numbers 21/638, 984/459, 526/401 is
GCF of Numerators i.e. for 21,984,526 is 1
LCM of denominators i.e. for 638,459,401 is 117429642.
Thus, GCF of Fractions is 1/117429642.Finally, GCF of Fractions for 21/638, 984/459, 526/401 is 1/117429642.