Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 530/610,3630/121
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 530,3630
Greatest Common Factor of Numerators i.e. GCF of 530,3630 is 10 .
LCM of Denominators means LCM of 610,121 as per the given fractions.
LCM of 610,121 is 73810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 530,3630
2 | 530, 3630 |
5 | 265, 1815 |
53, 363 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 3630
List of positive integer factors of 3630 that divides 3630 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,121,165,242,330,363,605,726,1210,1815,3630
Greatest Common Factor
We found the factors 530,3630 . The biggest common factor number is the GCF number.
So the greatest common factor 530,3630 is 10.
Lets's calculate LCM of 610,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 73810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/73810
Therefore, the GCF of Fractions 530/610,3630/121 is 10/73810
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 610,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(610,121) x common factors =1 x 1 = 1
LCM(610,121) = ( 610 × 121 ) / 1
LCM(610,121) = 73810 / 1
LCM(610,121) = 73810
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 530/610, 3630/121?
Answer: GCF of Numerators as per given numbers 530/610, 3630/121 is
GCF of Numerators i.e. for 530,3630 is 10
LCM of denominators i.e. for 610,121 is 73810.
Thus, GCF of Fractions is 10/73810.Finally, GCF of Fractions for 530/610, 3630/121 is 10/73810.