Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/71,51/79,75/49,90/795
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 79,51,75,90
Greatest Common Factor of Numerators i.e. GCF of 79,51,75,90 is 1 .
LCM of Denominators means LCM of 71,79,49,795 as per the given fractions.
LCM of 71,79,49,795 is 218498595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 79,51,75,90
∴ 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 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Greatest Common Factor
We found the factors 79,51,75,90 . The biggest common factor number is the GCF number.
So the greatest common factor 79,51,75,90 is 1.
Lets's calculate LCM of 71,79,49,795
Given numbers has no common factors except 1. So, there LCM is their product i.e 218498595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218498595
Therefore, the GCF of Fractions 79/71,51/79,75/49,90/795 is 1/218498595
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 71,79,49,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,79,49,795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,79,49,795) x common factors =1 x 1 = 1
LCM(71,79,49,795) = ( 71 × 79 × 49 × 795 ) / 1
LCM(71,79,49,795) = 218498595 / 1
LCM(71,79,49,795) = 218498595
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 79/71, 51/79, 75/49, 90/795?
Answer: GCF of Numerators as per given numbers 79/71, 51/79, 75/49, 90/795 is
GCF of Numerators i.e. for 79,51,75,90 is 1
LCM of denominators i.e. for 71,79,49,795 is 218498595.
Thus, GCF of Fractions is 1/218498595.Finally, GCF of Fractions for 79/71, 51/79, 75/49, 90/795 is 1/218498595.