Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/812,828/456
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 52,828
Greatest Common Factor of Numerators i.e. GCF of 52,828 is 4 .
LCM of Denominators means LCM of 812,456 as per the given fractions.
LCM of 812,456 is 92568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,828
2 | 52, 828 |
2 | 26, 414 |
13, 207 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 52,828 . The biggest common factor number is the GCF number.
So the greatest common factor 52,828 is 4.
Lets's calculate LCM of 812,456
2 | 812, 456 |
2 | 406, 228 |
203, 114 |
∴ So the LCM of the given numbers is 2 x 2 x 203 x 114 = 92568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/92568
Therefore, the GCF of Fractions 52/812,828/456 is 4/92568
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 812,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,456) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(812,456) x common factors =4 x 1 = 4
LCM(812,456) = ( 812 × 456 ) / 4
LCM(812,456) = 370272 / 4
LCM(812,456) = 92568
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 52/812, 828/456?
Answer: GCF of Numerators as per given numbers 52/812, 828/456 is
GCF of Numerators i.e. for 52,828 is 4
LCM of denominators i.e. for 812,456 is 92568.
Thus, GCF of Fractions is 4/92568.Finally, GCF of Fractions for 52/812, 828/456 is 4/92568.