Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 826/439,8148/7092
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 826,8148
Greatest Common Factor of Numerators i.e. GCF of 826,8148 is 14 .
LCM of Denominators means LCM of 439,7092 as per the given fractions.
LCM of 439,7092 is 3113388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 826,8148
2 | 826, 8148 |
7 | 413, 4074 |
59, 582 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Factors of 8148
List of positive integer factors of 8148 that divides 8148 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,97,194,291,388,582,679,1164,1358,2037,2716,4074,8148
Greatest Common Factor
We found the factors 826,8148 . The biggest common factor number is the GCF number.
So the greatest common factor 826,8148 is 14.
Lets's calculate LCM of 439,7092
Given numbers has no common factors except 1. So, there LCM is their product i.e 3113388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3113388
Therefore, the GCF of Fractions 826/439,8148/7092 is 14/3113388
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 439,7092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,7092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,7092) x common factors =1 x 1 = 1
LCM(439,7092) = ( 439 × 7092 ) / 1
LCM(439,7092) = 3113388 / 1
LCM(439,7092) = 3113388
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 826/439, 8148/7092?
Answer: GCF of Numerators as per given numbers 826/439, 8148/7092 is
GCF of Numerators i.e. for 826,8148 is 14
LCM of denominators i.e. for 439,7092 is 3113388.
Thus, GCF of Fractions is 14/3113388.Finally, GCF of Fractions for 826/439, 8148/7092 is 14/3113388.