Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5778/757,7886/151
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 5778,7886
Greatest Common Factor of Numerators i.e. GCF of 5778,7886 is 2 .
LCM of Denominators means LCM of 757,151 as per the given fractions.
LCM of 757,151 is 114307 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5778,7886
2 | 5778, 7886 |
2889, 3943 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5778
List of positive integer factors of 5778 that divides 5778 without a remainder.
1,2,3,6,9,18,27,54,107,214,321,642,963,1926,2889,5778
Factors of 7886
List of positive integer factors of 7886 that divides 7886 without a remainder.
1,2,3943,7886
Greatest Common Factor
We found the factors 5778,7886 . The biggest common factor number is the GCF number.
So the greatest common factor 5778,7886 is 2.
Lets's calculate LCM of 757,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 114307
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114307
Therefore, the GCF of Fractions 5778/757,7886/151 is 2/114307
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 757,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,151) x common factors =1 x 1 = 1
LCM(757,151) = ( 757 × 151 ) / 1
LCM(757,151) = 114307 / 1
LCM(757,151) = 114307
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 5778/757, 7886/151?
Answer: GCF of Numerators as per given numbers 5778/757, 7886/151 is
GCF of Numerators i.e. for 5778,7886 is 2
LCM of denominators i.e. for 757,151 is 114307.
Thus, GCF of Fractions is 2/114307.Finally, GCF of Fractions for 5778/757, 7886/151 is 2/114307.