Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/503,7100/5663
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 424,7100
Greatest Common Factor of Numerators i.e. GCF of 424,7100 is 4 .
LCM of Denominators means LCM of 503,5663 as per the given fractions.
LCM of 503,5663 is 2848489 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 424,7100
2 | 424, 7100 |
2 | 212, 3550 |
106, 1775 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 7100
List of positive integer factors of 7100 that divides 7100 without a remainder.
1,2,4,5,10,20,25,50,71,100,142,284,355,710,1420,1775,3550,7100
Greatest Common Factor
We found the factors 424,7100 . The biggest common factor number is the GCF number.
So the greatest common factor 424,7100 is 4.
Lets's calculate LCM of 503,5663
Given numbers has no common factors except 1. So, there LCM is their product i.e 2848489
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2848489
Therefore, the GCF of Fractions 424/503,7100/5663 is 4/2848489
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 503,5663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(503,5663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(503,5663) x common factors =1 x 1 = 1
LCM(503,5663) = ( 503 × 5663 ) / 1
LCM(503,5663) = 2848489 / 1
LCM(503,5663) = 2848489
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 424/503, 7100/5663?
Answer: GCF of Numerators as per given numbers 424/503, 7100/5663 is
GCF of Numerators i.e. for 424,7100 is 4
LCM of denominators i.e. for 503,5663 is 2848489.
Thus, GCF of Fractions is 4/2848489.Finally, GCF of Fractions for 424/503, 7100/5663 is 4/2848489.