Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/65,98/19,84/81,368/98
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 87,98,84,368
Greatest Common Factor of Numerators i.e. GCF of 87,98,84,368 is 1 .
LCM of Denominators means LCM of 65,19,81,98 as per the given fractions.
LCM of 65,19,81,98 is 9803430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 87,98,84,368
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 87,98,84,368 . The biggest common factor number is the GCF number.
So the greatest common factor 87,98,84,368 is 1.
Lets's calculate LCM of 65,19,81,98
Given numbers has no common factors except 1. So, there LCM is their product i.e 9803430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9803430
Therefore, the GCF of Fractions 87/65,98/19,84/81,368/98 is 1/9803430
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 65,19,81,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,19,81,98) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,19,81,98) x common factors =1 x 1 = 1
LCM(65,19,81,98) = ( 65 × 19 × 81 × 98 ) / 1
LCM(65,19,81,98) = 9803430 / 1
LCM(65,19,81,98) = 9803430
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 87/65, 98/19, 84/81, 368/98?
Answer: GCF of Numerators as per given numbers 87/65, 98/19, 84/81, 368/98 is
GCF of Numerators i.e. for 87,98,84,368 is 1
LCM of denominators i.e. for 65,19,81,98 is 9803430.
Thus, GCF of Fractions is 1/9803430.Finally, GCF of Fractions for 87/65, 98/19, 84/81, 368/98 is 1/9803430.