Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 967/177,111/524
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 967,111
Greatest Common Factor of Numerators i.e. GCF of 967,111 is 1 .
LCM of Denominators means LCM of 177,524 as per the given fractions.
LCM of 177,524 is 92748 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 967,111
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1,967
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Greatest Common Factor
We found the factors 967,111 . The biggest common factor number is the GCF number.
So the greatest common factor 967,111 is 1.
Lets's calculate LCM of 177,524
Given numbers has no common factors except 1. So, there LCM is their product i.e 92748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92748
Therefore, the GCF of Fractions 967/177,111/524 is 1/92748
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 177,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,524) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,524) x common factors =1 x 1 = 1
LCM(177,524) = ( 177 × 524 ) / 1
LCM(177,524) = 92748 / 1
LCM(177,524) = 92748
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 967/177, 111/524?
Answer: GCF of Numerators as per given numbers 967/177, 111/524 is
GCF of Numerators i.e. for 967,111 is 1
LCM of denominators i.e. for 177,524 is 92748.
Thus, GCF of Fractions is 1/92748.Finally, GCF of Fractions for 967/177, 111/524 is 1/92748.