Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1400/485,4207/443
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 1400,4207
Greatest Common Factor of Numerators i.e. GCF of 1400,4207 is 7 .
LCM of Denominators means LCM of 485,443 as per the given fractions.
LCM of 485,443 is 214855 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1400,4207
7 | 1400, 4207 |
200, 601 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 1400
List of positive integer factors of 1400 that divides 1400 without a remainder.
1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400
Factors of 4207
List of positive integer factors of 4207 that divides 4207 without a remainder.
1,7,601,4207
Greatest Common Factor
We found the factors 1400,4207 . The biggest common factor number is the GCF number.
So the greatest common factor 1400,4207 is 7.
Lets's calculate LCM of 485,443
Given numbers has no common factors except 1. So, there LCM is their product i.e 214855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/214855
Therefore, the GCF of Fractions 1400/485,4207/443 is 7/214855
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 485,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(485,443) x common factors =1 x 1 = 1
LCM(485,443) = ( 485 × 443 ) / 1
LCM(485,443) = 214855 / 1
LCM(485,443) = 214855
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 1400/485, 4207/443?
Answer: GCF of Numerators as per given numbers 1400/485, 4207/443 is
GCF of Numerators i.e. for 1400,4207 is 7
LCM of denominators i.e. for 485,443 is 214855.
Thus, GCF of Fractions is 7/214855.Finally, GCF of Fractions for 1400/485, 4207/443 is 7/214855.