Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6208/549,1774/103
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 6208,1774
Greatest Common Factor of Numerators i.e. GCF of 6208,1774 is 2 .
LCM of Denominators means LCM of 549,103 as per the given fractions.
LCM of 549,103 is 56547 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6208,1774
2 | 6208, 1774 |
3104, 887 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6208
List of positive integer factors of 6208 that divides 6208 without a remainder.
1,2,4,8,16,32,64,97,194,388,776,1552,3104,6208
Factors of 1774
List of positive integer factors of 1774 that divides 1774 without a remainder.
1,2,887,1774
Greatest Common Factor
We found the factors 6208,1774 . The biggest common factor number is the GCF number.
So the greatest common factor 6208,1774 is 2.
Lets's calculate LCM of 549,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 56547
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56547
Therefore, the GCF of Fractions 6208/549,1774/103 is 2/56547
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 549,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,103) x common factors =1 x 1 = 1
LCM(549,103) = ( 549 × 103 ) / 1
LCM(549,103) = 56547 / 1
LCM(549,103) = 56547
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 6208/549, 1774/103?
Answer: GCF of Numerators as per given numbers 6208/549, 1774/103 is
GCF of Numerators i.e. for 6208,1774 is 2
LCM of denominators i.e. for 549,103 is 56547.
Thus, GCF of Fractions is 2/56547.Finally, GCF of Fractions for 6208/549, 1774/103 is 2/56547.