Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 714/66,200/4919
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 714,200
Greatest Common Factor of Numerators i.e. GCF of 714,200 is 2 .
LCM of Denominators means LCM of 66,4919 as per the given fractions.
LCM of 66,4919 is 324654 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 714,200
2 | 714, 200 |
357, 100 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 714,200 . The biggest common factor number is the GCF number.
So the greatest common factor 714,200 is 2.
Lets's calculate LCM of 66,4919
Given numbers has no common factors except 1. So, there LCM is their product i.e 324654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/324654
Therefore, the GCF of Fractions 714/66,200/4919 is 2/324654
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 66,4919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,4919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,4919) x common factors =1 x 1 = 1
LCM(66,4919) = ( 66 × 4919 ) / 1
LCM(66,4919) = 324654 / 1
LCM(66,4919) = 324654
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 714/66, 200/4919?
Answer: GCF of Numerators as per given numbers 714/66, 200/4919 is
GCF of Numerators i.e. for 714,200 is 2
LCM of denominators i.e. for 66,4919 is 324654.
Thus, GCF of Fractions is 2/324654.Finally, GCF of Fractions for 714/66, 200/4919 is 2/324654.