Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8406/93,5480/608
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 8406,5480
Greatest Common Factor of Numerators i.e. GCF of 8406,5480 is 2 .
LCM of Denominators means LCM of 93,608 as per the given fractions.
LCM of 93,608 is 56544 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8406,5480
2 | 8406, 5480 |
4203, 2740 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8406
List of positive integer factors of 8406 that divides 8406 without a remainder.
1,2,3,6,9,18,467,934,1401,2802,4203,8406
Factors of 5480
List of positive integer factors of 5480 that divides 5480 without a remainder.
1,2,4,5,8,10,20,40,137,274,548,685,1096,1370,2740,5480
Greatest Common Factor
We found the factors 8406,5480 . The biggest common factor number is the GCF number.
So the greatest common factor 8406,5480 is 2.
Lets's calculate LCM of 93,608
Given numbers has no common factors except 1. So, there LCM is their product i.e 56544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56544
Therefore, the GCF of Fractions 8406/93,5480/608 is 2/56544
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 93,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,608) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,608) x common factors =1 x 1 = 1
LCM(93,608) = ( 93 × 608 ) / 1
LCM(93,608) = 56544 / 1
LCM(93,608) = 56544
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 8406/93, 5480/608?
Answer: GCF of Numerators as per given numbers 8406/93, 5480/608 is
GCF of Numerators i.e. for 8406,5480 is 2
LCM of denominators i.e. for 93,608 is 56544.
Thus, GCF of Fractions is 2/56544.Finally, GCF of Fractions for 8406/93, 5480/608 is 2/56544.