Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9322/71,7666/574
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 9322,7666
Greatest Common Factor of Numerators i.e. GCF of 9322,7666 is 2 .
LCM of Denominators means LCM of 71,574 as per the given fractions.
LCM of 71,574 is 40754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9322,7666
2 | 9322, 7666 |
4661, 3833 |
∴ So the GCF of the given numbers is 2 = 2
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 7666
List of positive integer factors of 7666 that divides 7666 without a remainder.
1,2,3833,7666
Greatest Common Factor
We found the factors 9322,7666 . The biggest common factor number is the GCF number.
So the greatest common factor 9322,7666 is 2.
Lets's calculate LCM of 71,574
Given numbers has no common factors except 1. So, there LCM is their product i.e 40754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40754
Therefore, the GCF of Fractions 9322/71,7666/574 is 2/40754
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 71,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,574) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,574) x common factors =1 x 1 = 1
LCM(71,574) = ( 71 × 574 ) / 1
LCM(71,574) = 40754 / 1
LCM(71,574) = 40754
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 9322/71, 7666/574?
Answer: GCF of Numerators as per given numbers 9322/71, 7666/574 is
GCF of Numerators i.e. for 9322,7666 is 2
LCM of denominators i.e. for 71,574 is 40754.
Thus, GCF of Fractions is 2/40754.Finally, GCF of Fractions for 9322/71, 7666/574 is 2/40754.