Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3454/108,6258/7019
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 3454,6258
Greatest Common Factor of Numerators i.e. GCF of 3454,6258 is 2 .
LCM of Denominators means LCM of 108,7019 as per the given fractions.
LCM of 108,7019 is 758052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3454,6258
2 | 3454, 6258 |
1727, 3129 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3454
List of positive integer factors of 3454 that divides 3454 without a remainder.
1,2,11,22,157,314,1727,3454
Factors of 6258
List of positive integer factors of 6258 that divides 6258 without a remainder.
1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258
Greatest Common Factor
We found the factors 3454,6258 . The biggest common factor number is the GCF number.
So the greatest common factor 3454,6258 is 2.
Lets's calculate LCM of 108,7019
Given numbers has no common factors except 1. So, there LCM is their product i.e 758052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/758052
Therefore, the GCF of Fractions 3454/108,6258/7019 is 2/758052
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 108,7019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,7019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,7019) x common factors =1 x 1 = 1
LCM(108,7019) = ( 108 × 7019 ) / 1
LCM(108,7019) = 758052 / 1
LCM(108,7019) = 758052
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 3454/108, 6258/7019?
Answer: GCF of Numerators as per given numbers 3454/108, 6258/7019 is
GCF of Numerators i.e. for 3454,6258 is 2
LCM of denominators i.e. for 108,7019 is 758052.
Thus, GCF of Fractions is 2/758052.Finally, GCF of Fractions for 3454/108, 6258/7019 is 2/758052.