Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/37,11/56,97/971,935/645
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 5,11,97,935
Greatest Common Factor of Numerators i.e. GCF of 5,11,97,935 is 1 .
LCM of Denominators means LCM of 37,56,971,645 as per the given fractions.
LCM of 37,56,971,645 is 1297683240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,11,97,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 5,11,97,935 . The biggest common factor number is the GCF number.
So the greatest common factor 5,11,97,935 is 1.
Lets's calculate LCM of 37,56,971,645
Given numbers has no common factors except 1. So, there LCM is their product i.e 1297683240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1297683240
Therefore, the GCF of Fractions 5/37,11/56,97/971,935/645 is 1/1297683240
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 37,56,971,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,56,971,645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,56,971,645) x common factors =1 x 1 = 1
LCM(37,56,971,645) = ( 37 × 56 × 971 × 645 ) / 1
LCM(37,56,971,645) = 1297683240 / 1
LCM(37,56,971,645) = 1297683240
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 5/37, 11/56, 97/971, 935/645?
Answer: GCF of Numerators as per given numbers 5/37, 11/56, 97/971, 935/645 is
GCF of Numerators i.e. for 5,11,97,935 is 1
LCM of denominators i.e. for 37,56,971,645 is 1297683240.
Thus, GCF of Fractions is 1/1297683240.Finally, GCF of Fractions for 5/37, 11/56, 97/971, 935/645 is 1/1297683240.