Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6732/59,1770/826
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 6732,1770
Greatest Common Factor of Numerators i.e. GCF of 6732,1770 is 6 .
LCM of Denominators means LCM of 59,826 as per the given fractions.
LCM of 59,826 is 826 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6732,1770
2 | 6732, 1770 |
3 | 3366, 885 |
1122, 295 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 6732
List of positive integer factors of 6732 that divides 6732 without a remainder.
1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732
Factors of 1770
List of positive integer factors of 1770 that divides 1770 without a remainder.
1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770
Greatest Common Factor
We found the factors 6732,1770 . The biggest common factor number is the GCF number.
So the greatest common factor 6732,1770 is 6.
Lets's calculate LCM of 59,826
59 | 59, 826 |
1, 14 |
∴ So the LCM of the given numbers is 59 x 1 x 14 = 826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/826
Therefore, the GCF of Fractions 6732/59,1770/826 is 6/826
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 59,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,826) = 59
common factors(in case of two or more numbers have common factors) = 1
GCF(59,826) x common factors =59 x 1 = 59
LCM(59,826) = ( 59 × 826 ) / 59
LCM(59,826) = 48734 / 59
LCM(59,826) = 826
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 6732/59, 1770/826?
Answer: GCF of Numerators as per given numbers 6732/59, 1770/826 is
GCF of Numerators i.e. for 6732,1770 is 6
LCM of denominators i.e. for 59,826 is 826.
Thus, GCF of Fractions is 6/826.Finally, GCF of Fractions for 6732/59, 1770/826 is 6/826.