Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1173/77,2428/586
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 1173,2428
Greatest Common Factor of Numerators i.e. GCF of 1173,2428 is 1 .
LCM of Denominators means LCM of 77,586 as per the given fractions.
LCM of 77,586 is 45122 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1173,2428
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1173
List of positive integer factors of 1173 that divides 1173 without a remainder.
1,3,17,23,51,69,391,1173
Factors of 2428
List of positive integer factors of 2428 that divides 2428 without a remainder.
1,2,4,607,1214,2428
Greatest Common Factor
We found the factors 1173,2428 . The biggest common factor number is the GCF number.
So the greatest common factor 1173,2428 is 1.
Lets's calculate LCM of 77,586
Given numbers has no common factors except 1. So, there LCM is their product i.e 45122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45122
Therefore, the GCF of Fractions 1173/77,2428/586 is 1/45122
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 77,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,586) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,586) x common factors =1 x 1 = 1
LCM(77,586) = ( 77 × 586 ) / 1
LCM(77,586) = 45122 / 1
LCM(77,586) = 45122
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 1173/77, 2428/586?
Answer: GCF of Numerators as per given numbers 1173/77, 2428/586 is
GCF of Numerators i.e. for 1173,2428 is 1
LCM of denominators i.e. for 77,586 is 45122.
Thus, GCF of Fractions is 1/45122.Finally, GCF of Fractions for 1173/77, 2428/586 is 1/45122.