Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3030/210,8476/1169
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 3030,8476
Greatest Common Factor of Numerators i.e. GCF of 3030,8476 is 2 .
LCM of Denominators means LCM of 210,1169 as per the given fractions.
LCM of 210,1169 is 35070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3030,8476
2 | 3030, 8476 |
1515, 4238 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3030
List of positive integer factors of 3030 that divides 3030 without a remainder.
1,2,3,5,6,10,15,30,101,202,303,505,606,1010,1515,3030
Factors of 8476
List of positive integer factors of 8476 that divides 8476 without a remainder.
1,2,4,13,26,52,163,326,652,2119,4238,8476
Greatest Common Factor
We found the factors 3030,8476 . The biggest common factor number is the GCF number.
So the greatest common factor 3030,8476 is 2.
Lets's calculate LCM of 210,1169
7 | 210, 1169 |
30, 167 |
∴ So the LCM of the given numbers is 7 x 30 x 167 = 35070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35070
Therefore, the GCF of Fractions 3030/210,8476/1169 is 2/35070
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 210,1169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,1169) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(210,1169) x common factors =7 x 1 = 7
LCM(210,1169) = ( 210 × 1169 ) / 7
LCM(210,1169) = 245490 / 7
LCM(210,1169) = 35070
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 3030/210, 8476/1169?
Answer: GCF of Numerators as per given numbers 3030/210, 8476/1169 is
GCF of Numerators i.e. for 3030,8476 is 2
LCM of denominators i.e. for 210,1169 is 35070.
Thus, GCF of Fractions is 2/35070.Finally, GCF of Fractions for 3030/210, 8476/1169 is 2/35070.