Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 358/338,6426/629
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 358,6426
Greatest Common Factor of Numerators i.e. GCF of 358,6426 is 2 .
LCM of Denominators means LCM of 338,629 as per the given fractions.
LCM of 338,629 is 212602 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 358,6426
2 | 358, 6426 |
179, 3213 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 6426
List of positive integer factors of 6426 that divides 6426 without a remainder.
1,2,3,6,7,9,14,17,18,21,27,34,42,51,54,63,102,119,126,153,189,238,306,357,378,459,714,918,1071,2142,3213,6426
Greatest Common Factor
We found the factors 358,6426 . The biggest common factor number is the GCF number.
So the greatest common factor 358,6426 is 2.
Lets's calculate LCM of 338,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 212602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/212602
Therefore, the GCF of Fractions 358/338,6426/629 is 2/212602
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 338,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(338,629) x common factors =1 x 1 = 1
LCM(338,629) = ( 338 × 629 ) / 1
LCM(338,629) = 212602 / 1
LCM(338,629) = 212602
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 358/338, 6426/629?
Answer: GCF of Numerators as per given numbers 358/338, 6426/629 is
GCF of Numerators i.e. for 358,6426 is 2
LCM of denominators i.e. for 338,629 is 212602.
Thus, GCF of Fractions is 2/212602.Finally, GCF of Fractions for 358/338, 6426/629 is 2/212602.