Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 629/655,6804/691
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 629,6804
Greatest Common Factor of Numerators i.e. GCF of 629,6804 is 1 .
LCM of Denominators means LCM of 655,691 as per the given fractions.
LCM of 655,691 is 452605 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 629,6804
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Factors of 6804
List of positive integer factors of 6804 that divides 6804 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804
Greatest Common Factor
We found the factors 629,6804 . The biggest common factor number is the GCF number.
So the greatest common factor 629,6804 is 1.
Lets's calculate LCM of 655,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 452605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452605
Therefore, the GCF of Fractions 629/655,6804/691 is 1/452605
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 655,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,691) x common factors =1 x 1 = 1
LCM(655,691) = ( 655 × 691 ) / 1
LCM(655,691) = 452605 / 1
LCM(655,691) = 452605
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 629/655, 6804/691?
Answer: GCF of Numerators as per given numbers 629/655, 6804/691 is
GCF of Numerators i.e. for 629,6804 is 1
LCM of denominators i.e. for 655,691 is 452605.
Thus, GCF of Fractions is 1/452605.Finally, GCF of Fractions for 629/655, 6804/691 is 1/452605.