Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8208/22,2963/779
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 8208,2963
Greatest Common Factor of Numerators i.e. GCF of 8208,2963 is 1 .
LCM of Denominators means LCM of 22,779 as per the given fractions.
LCM of 22,779 is 17138 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8208,2963
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8208
List of positive integer factors of 8208 that divides 8208 without a remainder.
1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208
Factors of 2963
List of positive integer factors of 2963 that divides 2963 without a remainder.
1,2963
Greatest Common Factor
We found the factors 8208,2963 . The biggest common factor number is the GCF number.
So the greatest common factor 8208,2963 is 1.
Lets's calculate LCM of 22,779
Given numbers has no common factors except 1. So, there LCM is their product i.e 17138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17138
Therefore, the GCF of Fractions 8208/22,2963/779 is 1/17138
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 22,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,779) x common factors =1 x 1 = 1
LCM(22,779) = ( 22 × 779 ) / 1
LCM(22,779) = 17138 / 1
LCM(22,779) = 17138
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 8208/22, 2963/779?
Answer: GCF of Numerators as per given numbers 8208/22, 2963/779 is
GCF of Numerators i.e. for 8208,2963 is 1
LCM of denominators i.e. for 22,779 is 17138.
Thus, GCF of Fractions is 1/17138.Finally, GCF of Fractions for 8208/22, 2963/779 is 1/17138.