Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/93,86/634,942/757
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 17,86,942
Greatest Common Factor of Numerators i.e. GCF of 17,86,942 is 1 .
LCM of Denominators means LCM of 93,634,757 as per the given fractions.
LCM of 93,634,757 is 44634234 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 17,86,942
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 17,86,942 . The biggest common factor number is the GCF number.
So the greatest common factor 17,86,942 is 1.
Lets's calculate LCM of 93,634,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 44634234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44634234
Therefore, the GCF of Fractions 17/93,86/634,942/757 is 1/44634234
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 93,634,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,634,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,634,757) x common factors =1 x 1 = 1
LCM(93,634,757) = ( 93 × 634 × 757 ) / 1
LCM(93,634,757) = 44634234 / 1
LCM(93,634,757) = 44634234
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 17/93, 86/634, 942/757?
Answer: GCF of Numerators as per given numbers 17/93, 86/634, 942/757 is
GCF of Numerators i.e. for 17,86,942 is 1
LCM of denominators i.e. for 93,634,757 is 44634234.
Thus, GCF of Fractions is 1/44634234.Finally, GCF of Fractions for 17/93, 86/634, 942/757 is 1/44634234.