Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9322/702,3723/6485
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 9322,3723
Greatest Common Factor of Numerators i.e. GCF of 9322,3723 is 1 .
LCM of Denominators means LCM of 702,6485 as per the given fractions.
LCM of 702,6485 is 4552470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9322,3723
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9322
List of positive integer factors of 9322 that divides 9322 without a remainder.
1,2,59,79,118,158,4661,9322
Factors of 3723
List of positive integer factors of 3723 that divides 3723 without a remainder.
1,3,17,51,73,219,1241,3723
Greatest Common Factor
We found the factors 9322,3723 . The biggest common factor number is the GCF number.
So the greatest common factor 9322,3723 is 1.
Lets's calculate LCM of 702,6485
Given numbers has no common factors except 1. So, there LCM is their product i.e 4552470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4552470
Therefore, the GCF of Fractions 9322/702,3723/6485 is 1/4552470
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 702,6485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,6485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(702,6485) x common factors =1 x 1 = 1
LCM(702,6485) = ( 702 × 6485 ) / 1
LCM(702,6485) = 4552470 / 1
LCM(702,6485) = 4552470
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 9322/702, 3723/6485?
Answer: GCF of Numerators as per given numbers 9322/702, 3723/6485 is
GCF of Numerators i.e. for 9322,3723 is 1
LCM of denominators i.e. for 702,6485 is 4552470.
Thus, GCF of Fractions is 1/4552470.Finally, GCF of Fractions for 9322/702, 3723/6485 is 1/4552470.