Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 189/62,312/6992
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 189,312
Greatest Common Factor of Numerators i.e. GCF of 189,312 is 3 .
LCM of Denominators means LCM of 62,6992 as per the given fractions.
LCM of 62,6992 is 216752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 189,312
3 | 189, 312 |
63, 104 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 189,312 . The biggest common factor number is the GCF number.
So the greatest common factor 189,312 is 3.
Lets's calculate LCM of 62,6992
2 | 62, 6992 |
31, 3496 |
∴ So the LCM of the given numbers is 2 x 31 x 3496 = 216752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/216752
Therefore, the GCF of Fractions 189/62,312/6992 is 3/216752
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 62,6992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,6992) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,6992) x common factors =2 x 1 = 2
LCM(62,6992) = ( 62 × 6992 ) / 2
LCM(62,6992) = 433504 / 2
LCM(62,6992) = 216752
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 189/62, 312/6992?
Answer: GCF of Numerators as per given numbers 189/62, 312/6992 is
GCF of Numerators i.e. for 189,312 is 3
LCM of denominators i.e. for 62,6992 is 216752.
Thus, GCF of Fractions is 3/216752.Finally, GCF of Fractions for 189/62, 312/6992 is 3/216752.