Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/35,795/35,440/143
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 79,795,440
Greatest Common Factor of Numerators i.e. GCF of 79,795,440 is 1 .
LCM of Denominators means LCM of 35,35,143 as per the given fractions.
LCM of 35,35,143 is 5005 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 79,795,440
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 79,795,440 . The biggest common factor number is the GCF number.
So the greatest common factor 79,795,440 is 1.
Lets's calculate LCM of 35,35,143
5 | 35, 35, 143 |
7 | 7, 7, 143 |
1, 1, 143 |
∴ So the LCM of the given numbers is 5 x 7 x 1 x 1 x 143 = 5005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5005
Therefore, the GCF of Fractions 79/35,795/35,440/143 is 1/5005
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 35,35,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,35,143) = 1
common factors(in case of two or more numbers have common factors) = 35
GCF(35,35,143) x common factors =1 x 35 = 35
LCM(35,35,143) = ( 35 × 35 × 143 ) / 35
LCM(35,35,143) = 175175 / 35
LCM(35,35,143) = 5005
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 79/35, 795/35, 440/143?
Answer: GCF of Numerators as per given numbers 79/35, 795/35, 440/143 is
GCF of Numerators i.e. for 79,795,440 is 1
LCM of denominators i.e. for 35,35,143 is 5005.
Thus, GCF of Fractions is 1/5005.Finally, GCF of Fractions for 79/35, 795/35, 440/143 is 1/5005.