Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4174/773,9731/6298
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 4174,9731
Greatest Common Factor of Numerators i.e. GCF of 4174,9731 is 1 .
LCM of Denominators means LCM of 773,6298 as per the given fractions.
LCM of 773,6298 is 4868354 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4174,9731
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4174
List of positive integer factors of 4174 that divides 4174 without a remainder.
1,2,2087,4174
Factors of 9731
List of positive integer factors of 9731 that divides 9731 without a remainder.
1,37,263,9731
Greatest Common Factor
We found the factors 4174,9731 . The biggest common factor number is the GCF number.
So the greatest common factor 4174,9731 is 1.
Lets's calculate LCM of 773,6298
Given numbers has no common factors except 1. So, there LCM is their product i.e 4868354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4868354
Therefore, the GCF of Fractions 4174/773,9731/6298 is 1/4868354
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 773,6298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,6298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,6298) x common factors =1 x 1 = 1
LCM(773,6298) = ( 773 × 6298 ) / 1
LCM(773,6298) = 4868354 / 1
LCM(773,6298) = 4868354
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 4174/773, 9731/6298?
Answer: GCF of Numerators as per given numbers 4174/773, 9731/6298 is
GCF of Numerators i.e. for 4174,9731 is 1
LCM of denominators i.e. for 773,6298 is 4868354.
Thus, GCF of Fractions is 1/4868354.Finally, GCF of Fractions for 4174/773, 9731/6298 is 1/4868354.