Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8360/992,8626/5176
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 8360,8626
Greatest Common Factor of Numerators i.e. GCF of 8360,8626 is 38 .
LCM of Denominators means LCM of 992,5176 as per the given fractions.
LCM of 992,5176 is 641824 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8360,8626
2 | 8360, 8626 |
19 | 4180, 4313 |
220, 227 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Factors of 8360
List of positive integer factors of 8360 that divides 8360 without a remainder.
1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360
Factors of 8626
List of positive integer factors of 8626 that divides 8626 without a remainder.
1,2,19,38,227,454,4313,8626
Greatest Common Factor
We found the factors 8360,8626 . The biggest common factor number is the GCF number.
So the greatest common factor 8360,8626 is 38.
Lets's calculate LCM of 992,5176
2 | 992, 5176 |
2 | 496, 2588 |
2 | 248, 1294 |
124, 647 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 124 x 647 = 641824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/641824
Therefore, the GCF of Fractions 8360/992,8626/5176 is 38/641824
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 992,5176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,5176) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(992,5176) x common factors =8 x 1 = 8
LCM(992,5176) = ( 992 × 5176 ) / 8
LCM(992,5176) = 5134592 / 8
LCM(992,5176) = 641824
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 8360/992, 8626/5176?
Answer: GCF of Numerators as per given numbers 8360/992, 8626/5176 is
GCF of Numerators i.e. for 8360,8626 is 38
LCM of denominators i.e. for 992,5176 is 641824.
Thus, GCF of Fractions is 38/641824.Finally, GCF of Fractions for 8360/992, 8626/5176 is 38/641824.