Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6632/274,5868/5906
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 6632,5868
Greatest Common Factor of Numerators i.e. GCF of 6632,5868 is 4 .
LCM of Denominators means LCM of 274,5906 as per the given fractions.
LCM of 274,5906 is 809122 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6632,5868
2 | 6632, 5868 |
2 | 3316, 2934 |
1658, 1467 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6632
List of positive integer factors of 6632 that divides 6632 without a remainder.
1,2,4,8,829,1658,3316,6632
Factors of 5868
List of positive integer factors of 5868 that divides 5868 without a remainder.
1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868
Greatest Common Factor
We found the factors 6632,5868 . The biggest common factor number is the GCF number.
So the greatest common factor 6632,5868 is 4.
Lets's calculate LCM of 274,5906
2 | 274, 5906 |
137, 2953 |
∴ So the LCM of the given numbers is 2 x 137 x 2953 = 809122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/809122
Therefore, the GCF of Fractions 6632/274,5868/5906 is 4/809122
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 274,5906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,5906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,5906) x common factors =2 x 1 = 2
LCM(274,5906) = ( 274 × 5906 ) / 2
LCM(274,5906) = 1618244 / 2
LCM(274,5906) = 809122
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 6632/274, 5868/5906?
Answer: GCF of Numerators as per given numbers 6632/274, 5868/5906 is
GCF of Numerators i.e. for 6632,5868 is 4
LCM of denominators i.e. for 274,5906 is 809122.
Thus, GCF of Fractions is 4/809122.Finally, GCF of Fractions for 6632/274, 5868/5906 is 4/809122.