Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 823/745,7672/546
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 823,7672
Greatest Common Factor of Numerators i.e. GCF of 823,7672 is 1 .
LCM of Denominators means LCM of 745,546 as per the given fractions.
LCM of 745,546 is 406770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 823,7672
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Factors of 7672
List of positive integer factors of 7672 that divides 7672 without a remainder.
1,2,4,7,8,14,28,56,137,274,548,959,1096,1918,3836,7672
Greatest Common Factor
We found the factors 823,7672 . The biggest common factor number is the GCF number.
So the greatest common factor 823,7672 is 1.
Lets's calculate LCM of 745,546
Given numbers has no common factors except 1. So, there LCM is their product i.e 406770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/406770
Therefore, the GCF of Fractions 823/745,7672/546 is 1/406770
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 745,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,546) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,546) x common factors =1 x 1 = 1
LCM(745,546) = ( 745 × 546 ) / 1
LCM(745,546) = 406770 / 1
LCM(745,546) = 406770
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 823/745, 7672/546?
Answer: GCF of Numerators as per given numbers 823/745, 7672/546 is
GCF of Numerators i.e. for 823,7672 is 1
LCM of denominators i.e. for 745,546 is 406770.
Thus, GCF of Fractions is 1/406770.Finally, GCF of Fractions for 823/745, 7672/546 is 1/406770.