Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/431,962/441,647/626
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 98,962,647
Greatest Common Factor of Numerators i.e. GCF of 98,962,647 is 1 .
LCM of Denominators means LCM of 431,441,626 as per the given fractions.
LCM of 431,441,626 is 118984446 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,962,647
∴ 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 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Greatest Common Factor
We found the factors 98,962,647 . The biggest common factor number is the GCF number.
So the greatest common factor 98,962,647 is 1.
Lets's calculate LCM of 431,441,626
Given numbers has no common factors except 1. So, there LCM is their product i.e 118984446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118984446
Therefore, the GCF of Fractions 98/431,962/441,647/626 is 1/118984446
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 431,441,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,441,626) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,441,626) x common factors =1 x 1 = 1
LCM(431,441,626) = ( 431 × 441 × 626 ) / 1
LCM(431,441,626) = 118984446 / 1
LCM(431,441,626) = 118984446
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 98/431, 962/441, 647/626?
Answer: GCF of Numerators as per given numbers 98/431, 962/441, 647/626 is
GCF of Numerators i.e. for 98,962,647 is 1
LCM of denominators i.e. for 431,441,626 is 118984446.
Thus, GCF of Fractions is 1/118984446.Finally, GCF of Fractions for 98/431, 962/441, 647/626 is 1/118984446.