Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4712/119,8685/2390
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 4712,8685
Greatest Common Factor of Numerators i.e. GCF of 4712,8685 is 1 .
LCM of Denominators means LCM of 119,2390 as per the given fractions.
LCM of 119,2390 is 284410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4712,8685
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4712
List of positive integer factors of 4712 that divides 4712 without a remainder.
1,2,4,8,19,31,38,62,76,124,152,248,589,1178,2356,4712
Factors of 8685
List of positive integer factors of 8685 that divides 8685 without a remainder.
1,3,5,9,15,45,193,579,965,1737,2895,8685
Greatest Common Factor
We found the factors 4712,8685 . The biggest common factor number is the GCF number.
So the greatest common factor 4712,8685 is 1.
Lets's calculate LCM of 119,2390
Given numbers has no common factors except 1. So, there LCM is their product i.e 284410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284410
Therefore, the GCF of Fractions 4712/119,8685/2390 is 1/284410
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 119,2390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,2390) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,2390) x common factors =1 x 1 = 1
LCM(119,2390) = ( 119 × 2390 ) / 1
LCM(119,2390) = 284410 / 1
LCM(119,2390) = 284410
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 4712/119, 8685/2390?
Answer: GCF of Numerators as per given numbers 4712/119, 8685/2390 is
GCF of Numerators i.e. for 4712,8685 is 1
LCM of denominators i.e. for 119,2390 is 284410.
Thus, GCF of Fractions is 1/284410.Finally, GCF of Fractions for 4712/119, 8685/2390 is 1/284410.