Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 702/82,900/4871
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 702,900
Greatest Common Factor of Numerators i.e. GCF of 702,900 is 18 .
LCM of Denominators means LCM of 82,4871 as per the given fractions.
LCM of 82,4871 is 399422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 702,900
2 | 702, 900 |
3 | 351, 450 |
3 | 117, 150 |
39, 50 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 702,900 . The biggest common factor number is the GCF number.
So the greatest common factor 702,900 is 18.
Lets's calculate LCM of 82,4871
Given numbers has no common factors except 1. So, there LCM is their product i.e 399422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/399422
Therefore, the GCF of Fractions 702/82,900/4871 is 18/399422
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 82,4871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,4871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,4871) x common factors =1 x 1 = 1
LCM(82,4871) = ( 82 × 4871 ) / 1
LCM(82,4871) = 399422 / 1
LCM(82,4871) = 399422
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 702/82, 900/4871?
Answer: GCF of Numerators as per given numbers 702/82, 900/4871 is
GCF of Numerators i.e. for 702,900 is 18
LCM of denominators i.e. for 82,4871 is 399422.
Thus, GCF of Fractions is 18/399422.Finally, GCF of Fractions for 702/82, 900/4871 is 18/399422.