Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1480/406,3654/869
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 1480,3654
Greatest Common Factor of Numerators i.e. GCF of 1480,3654 is 2 .
LCM of Denominators means LCM of 406,869 as per the given fractions.
LCM of 406,869 is 352814 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1480,3654
2 | 1480, 3654 |
740, 1827 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1480
List of positive integer factors of 1480 that divides 1480 without a remainder.
1,2,4,5,8,10,20,37,40,74,148,185,296,370,740,1480
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 1480,3654 . The biggest common factor number is the GCF number.
So the greatest common factor 1480,3654 is 2.
Lets's calculate LCM of 406,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 352814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/352814
Therefore, the GCF of Fractions 1480/406,3654/869 is 2/352814
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 406,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,869) x common factors =1 x 1 = 1
LCM(406,869) = ( 406 × 869 ) / 1
LCM(406,869) = 352814 / 1
LCM(406,869) = 352814
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 1480/406, 3654/869?
Answer: GCF of Numerators as per given numbers 1480/406, 3654/869 is
GCF of Numerators i.e. for 1480,3654 is 2
LCM of denominators i.e. for 406,869 is 352814.
Thus, GCF of Fractions is 2/352814.Finally, GCF of Fractions for 1480/406, 3654/869 is 2/352814.