Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 470/856,8740/875
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 470,8740
Greatest Common Factor of Numerators i.e. GCF of 470,8740 is 10 .
LCM of Denominators means LCM of 856,875 as per the given fractions.
LCM of 856,875 is 749000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 470,8740
2 | 470, 8740 |
5 | 235, 4370 |
47, 874 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Factors of 8740
List of positive integer factors of 8740 that divides 8740 without a remainder.
1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740
Greatest Common Factor
We found the factors 470,8740 . The biggest common factor number is the GCF number.
So the greatest common factor 470,8740 is 10.
Lets's calculate LCM of 856,875
Given numbers has no common factors except 1. So, there LCM is their product i.e 749000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/749000
Therefore, the GCF of Fractions 470/856,8740/875 is 10/749000
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 856,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,875) x common factors =1 x 1 = 1
LCM(856,875) = ( 856 × 875 ) / 1
LCM(856,875) = 749000 / 1
LCM(856,875) = 749000
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 470/856, 8740/875?
Answer: GCF of Numerators as per given numbers 470/856, 8740/875 is
GCF of Numerators i.e. for 470,8740 is 10
LCM of denominators i.e. for 856,875 is 749000.
Thus, GCF of Fractions is 10/749000.Finally, GCF of Fractions for 470/856, 8740/875 is 10/749000.