Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 510/939,4207/392
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 510,4207
Greatest Common Factor of Numerators i.e. GCF of 510,4207 is 1 .
LCM of Denominators means LCM of 939,392 as per the given fractions.
LCM of 939,392 is 368088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 510,4207
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
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 510,4207 . The biggest common factor number is the GCF number.
So the greatest common factor 510,4207 is 1.
Lets's calculate LCM of 939,392
Given numbers has no common factors except 1. So, there LCM is their product i.e 368088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368088
Therefore, the GCF of Fractions 510/939,4207/392 is 1/368088
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 939,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,392) x common factors =1 x 1 = 1
LCM(939,392) = ( 939 × 392 ) / 1
LCM(939,392) = 368088 / 1
LCM(939,392) = 368088
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 510/939, 4207/392?
Answer: GCF of Numerators as per given numbers 510/939, 4207/392 is
GCF of Numerators i.e. for 510,4207 is 1
LCM of denominators i.e. for 939,392 is 368088.
Thus, GCF of Fractions is 1/368088.Finally, GCF of Fractions for 510/939, 4207/392 is 1/368088.