Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7862/530,3363/8775
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 7862,3363
Greatest Common Factor of Numerators i.e. GCF of 7862,3363 is 1 .
LCM of Denominators means LCM of 530,8775 as per the given fractions.
LCM of 530,8775 is 930150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7862,3363
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7862
List of positive integer factors of 7862 that divides 7862 without a remainder.
1,2,3931,7862
Factors of 3363
List of positive integer factors of 3363 that divides 3363 without a remainder.
1,3,19,57,59,177,1121,3363
Greatest Common Factor
We found the factors 7862,3363 . The biggest common factor number is the GCF number.
So the greatest common factor 7862,3363 is 1.
Lets's calculate LCM of 530,8775
5 | 530, 8775 |
106, 1755 |
∴ So the LCM of the given numbers is 5 x 106 x 1755 = 930150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/930150
Therefore, the GCF of Fractions 7862/530,3363/8775 is 1/930150
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 530,8775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,8775) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(530,8775) x common factors =5 x 1 = 5
LCM(530,8775) = ( 530 × 8775 ) / 5
LCM(530,8775) = 4650750 / 5
LCM(530,8775) = 930150
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 7862/530, 3363/8775?
Answer: GCF of Numerators as per given numbers 7862/530, 3363/8775 is
GCF of Numerators i.e. for 7862,3363 is 1
LCM of denominators i.e. for 530,8775 is 930150.
Thus, GCF of Fractions is 1/930150.Finally, GCF of Fractions for 7862/530, 3363/8775 is 1/930150.