Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6718/54,7112/726
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 6718,7112
Greatest Common Factor of Numerators i.e. GCF of 6718,7112 is 2 .
LCM of Denominators means LCM of 54,726 as per the given fractions.
LCM of 54,726 is 6534 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6718,7112
2 | 6718, 7112 |
3359, 3556 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6718
List of positive integer factors of 6718 that divides 6718 without a remainder.
1,2,3359,6718
Factors of 7112
List of positive integer factors of 7112 that divides 7112 without a remainder.
1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112
Greatest Common Factor
We found the factors 6718,7112 . The biggest common factor number is the GCF number.
So the greatest common factor 6718,7112 is 2.
Lets's calculate LCM of 54,726
2 | 54, 726 |
3 | 27, 363 |
9, 121 |
∴ So the LCM of the given numbers is 2 x 3 x 9 x 121 = 6534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6534
Therefore, the GCF of Fractions 6718/54,7112/726 is 2/6534
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 54,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,726) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(54,726) x common factors =6 x 1 = 6
LCM(54,726) = ( 54 × 726 ) / 6
LCM(54,726) = 39204 / 6
LCM(54,726) = 6534
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 6718/54, 7112/726?
Answer: GCF of Numerators as per given numbers 6718/54, 7112/726 is
GCF of Numerators i.e. for 6718,7112 is 2
LCM of denominators i.e. for 54,726 is 6534.
Thus, GCF of Fractions is 2/6534.Finally, GCF of Fractions for 6718/54, 7112/726 is 2/6534.