Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7177/92,1757/718
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 7177,1757
Greatest Common Factor of Numerators i.e. GCF of 7177,1757 is 1 .
LCM of Denominators means LCM of 92,718 as per the given fractions.
LCM of 92,718 is 33028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7177,1757
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7177
List of positive integer factors of 7177 that divides 7177 without a remainder.
1,7177
Factors of 1757
List of positive integer factors of 1757 that divides 1757 without a remainder.
1,7,251,1757
Greatest Common Factor
We found the factors 7177,1757 . The biggest common factor number is the GCF number.
So the greatest common factor 7177,1757 is 1.
Lets's calculate LCM of 92,718
2 | 92, 718 |
46, 359 |
∴ So the LCM of the given numbers is 2 x 46 x 359 = 33028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33028
Therefore, the GCF of Fractions 7177/92,1757/718 is 1/33028
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 92,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(92,718) x common factors =2 x 1 = 2
LCM(92,718) = ( 92 × 718 ) / 2
LCM(92,718) = 66056 / 2
LCM(92,718) = 33028
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 7177/92, 1757/718?
Answer: GCF of Numerators as per given numbers 7177/92, 1757/718 is
GCF of Numerators i.e. for 7177,1757 is 1
LCM of denominators i.e. for 92,718 is 33028.
Thus, GCF of Fractions is 1/33028.Finally, GCF of Fractions for 7177/92, 1757/718 is 1/33028.