Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8210/702,6830/7163
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 8210,6830
Greatest Common Factor of Numerators i.e. GCF of 8210,6830 is 10 .
LCM of Denominators means LCM of 702,7163 as per the given fractions.
LCM of 702,7163 is 386802 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8210,6830
2 | 8210, 6830 |
5 | 4105, 3415 |
821, 683 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 8210
List of positive integer factors of 8210 that divides 8210 without a remainder.
1,2,5,10,821,1642,4105,8210
Factors of 6830
List of positive integer factors of 6830 that divides 6830 without a remainder.
1,2,5,10,683,1366,3415,6830
Greatest Common Factor
We found the factors 8210,6830 . The biggest common factor number is the GCF number.
So the greatest common factor 8210,6830 is 10.
Lets's calculate LCM of 702,7163
13 | 702, 7163 |
54, 551 |
∴ So the LCM of the given numbers is 13 x 54 x 551 = 386802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/386802
Therefore, the GCF of Fractions 8210/702,6830/7163 is 10/386802
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 702,7163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,7163) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(702,7163) x common factors =13 x 1 = 13
LCM(702,7163) = ( 702 × 7163 ) / 13
LCM(702,7163) = 5028426 / 13
LCM(702,7163) = 386802
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 8210/702, 6830/7163?
Answer: GCF of Numerators as per given numbers 8210/702, 6830/7163 is
GCF of Numerators i.e. for 8210,6830 is 10
LCM of denominators i.e. for 702,7163 is 386802.
Thus, GCF of Fractions is 10/386802.Finally, GCF of Fractions for 8210/702, 6830/7163 is 10/386802.