Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7808/662,3267/3649
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 7808,3267
Greatest Common Factor of Numerators i.e. GCF of 7808,3267 is 1 .
LCM of Denominators means LCM of 662,3649 as per the given fractions.
LCM of 662,3649 is 2415638 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7808,3267
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7808
List of positive integer factors of 7808 that divides 7808 without a remainder.
1,2,4,8,16,32,61,64,122,128,244,488,976,1952,3904,7808
Factors of 3267
List of positive integer factors of 3267 that divides 3267 without a remainder.
1,3,9,11,27,33,99,121,297,363,1089,3267
Greatest Common Factor
We found the factors 7808,3267 . The biggest common factor number is the GCF number.
So the greatest common factor 7808,3267 is 1.
Lets's calculate LCM of 662,3649
Given numbers has no common factors except 1. So, there LCM is their product i.e 2415638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2415638
Therefore, the GCF of Fractions 7808/662,3267/3649 is 1/2415638
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 662,3649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,3649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(662,3649) x common factors =1 x 1 = 1
LCM(662,3649) = ( 662 × 3649 ) / 1
LCM(662,3649) = 2415638 / 1
LCM(662,3649) = 2415638
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 7808/662, 3267/3649?
Answer: GCF of Numerators as per given numbers 7808/662, 3267/3649 is
GCF of Numerators i.e. for 7808,3267 is 1
LCM of denominators i.e. for 662,3649 is 2415638.
Thus, GCF of Fractions is 1/2415638.Finally, GCF of Fractions for 7808/662, 3267/3649 is 1/2415638.