Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/85,55/42,831/967
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 98,55,831
Greatest Common Factor of Numerators i.e. GCF of 98,55,831 is 1 .
LCM of Denominators means LCM of 85,42,967 as per the given fractions.
LCM of 85,42,967 is 3452190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,55,831
∴ 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 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Greatest Common Factor
We found the factors 98,55,831 . The biggest common factor number is the GCF number.
So the greatest common factor 98,55,831 is 1.
Lets's calculate LCM of 85,42,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 3452190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3452190
Therefore, the GCF of Fractions 98/85,55/42,831/967 is 1/3452190
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 85,42,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,42,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,42,967) x common factors =1 x 1 = 1
LCM(85,42,967) = ( 85 × 42 × 967 ) / 1
LCM(85,42,967) = 3452190 / 1
LCM(85,42,967) = 3452190
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 98/85, 55/42, 831/967?
Answer: GCF of Numerators as per given numbers 98/85, 55/42, 831/967 is
GCF of Numerators i.e. for 98,55,831 is 1
LCM of denominators i.e. for 85,42,967 is 3452190.
Thus, GCF of Fractions is 1/3452190.Finally, GCF of Fractions for 98/85, 55/42, 831/967 is 1/3452190.