Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 836/72,255/79,951/979
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 836,255,951
Greatest Common Factor of Numerators i.e. GCF of 836,255,951 is 1 .
LCM of Denominators means LCM of 72,79,979 as per the given fractions.
LCM of 72,79,979 is 5568552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 836,255,951
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 836,255,951 . The biggest common factor number is the GCF number.
So the greatest common factor 836,255,951 is 1.
Lets's calculate LCM of 72,79,979
Given numbers has no common factors except 1. So, there LCM is their product i.e 5568552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5568552
Therefore, the GCF of Fractions 836/72,255/79,951/979 is 1/5568552
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 72,79,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,79,979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,79,979) x common factors =1 x 1 = 1
LCM(72,79,979) = ( 72 × 79 × 979 ) / 1
LCM(72,79,979) = 5568552 / 1
LCM(72,79,979) = 5568552
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 836/72, 255/79, 951/979?
Answer: GCF of Numerators as per given numbers 836/72, 255/79, 951/979 is
GCF of Numerators i.e. for 836,255,951 is 1
LCM of denominators i.e. for 72,79,979 is 5568552.
Thus, GCF of Fractions is 1/5568552.Finally, GCF of Fractions for 836/72, 255/79, 951/979 is 1/5568552.