Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 32/853,567/143,897/703
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 32,567,897
Greatest Common Factor of Numerators i.e. GCF of 32,567,897 is 1 .
LCM of Denominators means LCM of 853,143,703 as per the given fractions.
LCM of 853,143,703 is 85751237 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 32,567,897
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Greatest Common Factor
We found the factors 32,567,897 . The biggest common factor number is the GCF number.
So the greatest common factor 32,567,897 is 1.
Lets's calculate LCM of 853,143,703
Given numbers has no common factors except 1. So, there LCM is their product i.e 85751237
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85751237
Therefore, the GCF of Fractions 32/853,567/143,897/703 is 1/85751237
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 853,143,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,143,703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,143,703) x common factors =1 x 1 = 1
LCM(853,143,703) = ( 853 × 143 × 703 ) / 1
LCM(853,143,703) = 85751237 / 1
LCM(853,143,703) = 85751237
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 32/853, 567/143, 897/703?
Answer: GCF of Numerators as per given numbers 32/853, 567/143, 897/703 is
GCF of Numerators i.e. for 32,567,897 is 1
LCM of denominators i.e. for 853,143,703 is 85751237.
Thus, GCF of Fractions is 1/85751237.Finally, GCF of Fractions for 32/853, 567/143, 897/703 is 1/85751237.