Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 776/575,8210/837
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 776,8210
Greatest Common Factor of Numerators i.e. GCF of 776,8210 is 2 .
LCM of Denominators means LCM of 575,837 as per the given fractions.
LCM of 575,837 is 481275 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 776,8210
2 | 776, 8210 |
388, 4105 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 8210
List of positive integer factors of 8210 that divides 8210 without a remainder.
1,2,5,10,821,1642,4105,8210
Greatest Common Factor
We found the factors 776,8210 . The biggest common factor number is the GCF number.
So the greatest common factor 776,8210 is 2.
Lets's calculate LCM of 575,837
Given numbers has no common factors except 1. So, there LCM is their product i.e 481275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/481275
Therefore, the GCF of Fractions 776/575,8210/837 is 2/481275
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 575,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,837) x common factors =1 x 1 = 1
LCM(575,837) = ( 575 × 837 ) / 1
LCM(575,837) = 481275 / 1
LCM(575,837) = 481275
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 776/575, 8210/837?
Answer: GCF of Numerators as per given numbers 776/575, 8210/837 is
GCF of Numerators i.e. for 776,8210 is 2
LCM of denominators i.e. for 575,837 is 481275.
Thus, GCF of Fractions is 2/481275.Finally, GCF of Fractions for 776/575, 8210/837 is 2/481275.