Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 752/65,3654/845
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 752,3654
Greatest Common Factor of Numerators i.e. GCF of 752,3654 is 2 .
LCM of Denominators means LCM of 65,845 as per the given fractions.
LCM of 65,845 is 845 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 752,3654
2 | 752, 3654 |
376, 1827 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 3654
List of positive integer factors of 3654 that divides 3654 without a remainder.
1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654
Greatest Common Factor
We found the factors 752,3654 . The biggest common factor number is the GCF number.
So the greatest common factor 752,3654 is 2.
Lets's calculate LCM of 65,845
5 | 65, 845 |
13 | 13, 169 |
1, 13 |
∴ So the LCM of the given numbers is 5 x 13 x 1 x 13 = 845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/845
Therefore, the GCF of Fractions 752/65,3654/845 is 2/845
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 65,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,845) = 65
common factors(in case of two or more numbers have common factors) = 1
GCF(65,845) x common factors =65 x 1 = 65
LCM(65,845) = ( 65 × 845 ) / 65
LCM(65,845) = 54925 / 65
LCM(65,845) = 845
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 752/65, 3654/845?
Answer: GCF of Numerators as per given numbers 752/65, 3654/845 is
GCF of Numerators i.e. for 752,3654 is 2
LCM of denominators i.e. for 65,845 is 845.
Thus, GCF of Fractions is 2/845.Finally, GCF of Fractions for 752/65, 3654/845 is 2/845.