Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 626/48,828/85,176/84
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 626,828,176
Greatest Common Factor of Numerators i.e. GCF of 626,828,176 is 2 .
LCM of Denominators means LCM of 48,85,84 as per the given fractions.
LCM of 48,85,84 is 28560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 626,828,176
2 | 626, 828, 176 |
313, 414, 88 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
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
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 626,828,176 . The biggest common factor number is the GCF number.
So the greatest common factor 626,828,176 is 2.
Lets's calculate LCM of 48,85,84
2 | 48, 85, 84 |
2 | 24, 85, 42 |
3 | 12, 85, 21 |
4, 85, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 85 x 7 = 28560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28560
Therefore, the GCF of Fractions 626/48,828/85,176/84 is 2/28560
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 48,85,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,85,84) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(48,85,84) x common factors =1 x 12 = 12
LCM(48,85,84) = ( 48 × 85 × 84 ) / 12
LCM(48,85,84) = 342720 / 12
LCM(48,85,84) = 28560
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 626/48, 828/85, 176/84?
Answer: GCF of Numerators as per given numbers 626/48, 828/85, 176/84 is
GCF of Numerators i.e. for 626,828,176 is 2
LCM of denominators i.e. for 48,85,84 is 28560.
Thus, GCF of Fractions is 2/28560.Finally, GCF of Fractions for 626/48, 828/85, 176/84 is 2/28560.