Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/97,63/65,166/478
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 69,63,166
Greatest Common Factor of Numerators i.e. GCF of 69,63,166 is 1 .
LCM of Denominators means LCM of 97,65,478 as per the given fractions.
LCM of 97,65,478 is 3013790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 69,63,166
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 69,63,166 . The biggest common factor number is the GCF number.
So the greatest common factor 69,63,166 is 1.
Lets's calculate LCM of 97,65,478
Given numbers has no common factors except 1. So, there LCM is their product i.e 3013790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3013790
Therefore, the GCF of Fractions 69/97,63/65,166/478 is 1/3013790
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 97,65,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,65,478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,65,478) x common factors =1 x 1 = 1
LCM(97,65,478) = ( 97 × 65 × 478 ) / 1
LCM(97,65,478) = 3013790 / 1
LCM(97,65,478) = 3013790
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 69/97, 63/65, 166/478?
Answer: GCF of Numerators as per given numbers 69/97, 63/65, 166/478 is
GCF of Numerators i.e. for 69,63,166 is 1
LCM of denominators i.e. for 97,65,478 is 3013790.
Thus, GCF of Fractions is 1/3013790.Finally, GCF of Fractions for 69/97, 63/65, 166/478 is 1/3013790.