Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/47,93/93,42/13,55/607
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 98,93,42,55
Greatest Common Factor of Numerators i.e. GCF of 98,93,42,55 is 1 .
LCM of Denominators means LCM of 47,93,13,607 as per the given fractions.
LCM of 47,93,13,607 is 34491561 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,93,42,55
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Greatest Common Factor
We found the factors 98,93,42,55 . The biggest common factor number is the GCF number.
So the greatest common factor 98,93,42,55 is 1.
Lets's calculate LCM of 47,93,13,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 34491561
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34491561
Therefore, the GCF of Fractions 98/47,93/93,42/13,55/607 is 1/34491561
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 47,93,13,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,93,13,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,93,13,607) x common factors =1 x 1 = 1
LCM(47,93,13,607) = ( 47 × 93 × 13 × 607 ) / 1
LCM(47,93,13,607) = 34491561 / 1
LCM(47,93,13,607) = 34491561
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 98/47, 93/93, 42/13, 55/607?
Answer: GCF of Numerators as per given numbers 98/47, 93/93, 42/13, 55/607 is
GCF of Numerators i.e. for 98,93,42,55 is 1
LCM of denominators i.e. for 47,93,13,607 is 34491561.
Thus, GCF of Fractions is 1/34491561.Finally, GCF of Fractions for 98/47, 93/93, 42/13, 55/607 is 1/34491561.