Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/31,81/77,79/996,833/829
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 4,81,79,833
Greatest Common Factor of Numerators i.e. GCF of 4,81,79,833 is 1 .
LCM of Denominators means LCM of 31,77,996,829 as per the given fractions.
LCM of 31,77,996,829 is 1970907708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,81,79,833
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Greatest Common Factor
We found the factors 4,81,79,833 . The biggest common factor number is the GCF number.
So the greatest common factor 4,81,79,833 is 1.
Lets's calculate LCM of 31,77,996,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 1970907708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1970907708
Therefore, the GCF of Fractions 4/31,81/77,79/996,833/829 is 1/1970907708
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 31,77,996,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,77,996,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,77,996,829) x common factors =1 x 1 = 1
LCM(31,77,996,829) = ( 31 × 77 × 996 × 829 ) / 1
LCM(31,77,996,829) = 1970907708 / 1
LCM(31,77,996,829) = 1970907708
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 4/31, 81/77, 79/996, 833/829?
Answer: GCF of Numerators as per given numbers 4/31, 81/77, 79/996, 833/829 is
GCF of Numerators i.e. for 4,81,79,833 is 1
LCM of denominators i.e. for 31,77,996,829 is 1970907708.
Thus, GCF of Fractions is 1/1970907708.Finally, GCF of Fractions for 4/31, 81/77, 79/996, 833/829 is 1/1970907708.