Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/97,66/94,20/65,14/651
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 98,66,20,14
Greatest Common Factor of Numerators i.e. GCF of 98,66,20,14 is 2 .
LCM of Denominators means LCM of 97,94,65,651 as per the given fractions.
LCM of 97,94,65,651 is 385828170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,66,20,14
2 | 98, 66, 20, 14 |
49, 33, 10, 7 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Greatest Common Factor
We found the factors 98,66,20,14 . The biggest common factor number is the GCF number.
So the greatest common factor 98,66,20,14 is 2.
Lets's calculate LCM of 97,94,65,651
Given numbers has no common factors except 1. So, there LCM is their product i.e 385828170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/385828170
Therefore, the GCF of Fractions 98/97,66/94,20/65,14/651 is 2/385828170
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 97,94,65,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,94,65,651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,94,65,651) x common factors =1 x 1 = 1
LCM(97,94,65,651) = ( 97 × 94 × 65 × 651 ) / 1
LCM(97,94,65,651) = 385828170 / 1
LCM(97,94,65,651) = 385828170
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 98/97, 66/94, 20/65, 14/651?
Answer: GCF of Numerators as per given numbers 98/97, 66/94, 20/65, 14/651 is
GCF of Numerators i.e. for 98,66,20,14 is 2
LCM of denominators i.e. for 97,94,65,651 is 385828170.
Thus, GCF of Fractions is 2/385828170.Finally, GCF of Fractions for 98/97, 66/94, 20/65, 14/651 is 2/385828170.