Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 686/724,629/498
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 686,629
Greatest Common Factor of Numerators i.e. GCF of 686,629 is 1 .
LCM of Denominators means LCM of 724,498 as per the given fractions.
LCM of 724,498 is 180276 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 686,629
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Greatest Common Factor
We found the factors 686,629 . The biggest common factor number is the GCF number.
So the greatest common factor 686,629 is 1.
Lets's calculate LCM of 724,498
2 | 724, 498 |
362, 249 |
∴ So the LCM of the given numbers is 2 x 362 x 249 = 180276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180276
Therefore, the GCF of Fractions 686/724,629/498 is 1/180276
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 724,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,498) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,498) x common factors =2 x 1 = 2
LCM(724,498) = ( 724 × 498 ) / 2
LCM(724,498) = 360552 / 2
LCM(724,498) = 180276
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 686/724, 629/498?
Answer: GCF of Numerators as per given numbers 686/724, 629/498 is
GCF of Numerators i.e. for 686,629 is 1
LCM of denominators i.e. for 724,498 is 180276.
Thus, GCF of Fractions is 1/180276.Finally, GCF of Fractions for 686/724, 629/498 is 1/180276.