Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6650/88,7326/562
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 6650,7326
Greatest Common Factor of Numerators i.e. GCF of 6650,7326 is 2 .
LCM of Denominators means LCM of 88,562 as per the given fractions.
LCM of 88,562 is 24728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6650,7326
2 | 6650, 7326 |
3325, 3663 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6650
List of positive integer factors of 6650 that divides 6650 without a remainder.
1,2,5,7,10,14,19,25,35,38,50,70,95,133,175,190,266,350,475,665,950,1330,3325,6650
Factors of 7326
List of positive integer factors of 7326 that divides 7326 without a remainder.
1,2,3,6,9,11,18,22,33,37,66,74,99,111,198,222,333,407,666,814,1221,2442,3663,7326
Greatest Common Factor
We found the factors 6650,7326 . The biggest common factor number is the GCF number.
So the greatest common factor 6650,7326 is 2.
Lets's calculate LCM of 88,562
2 | 88, 562 |
44, 281 |
∴ So the LCM of the given numbers is 2 x 44 x 281 = 24728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24728
Therefore, the GCF of Fractions 6650/88,7326/562 is 2/24728
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 88,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,562) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(88,562) x common factors =2 x 1 = 2
LCM(88,562) = ( 88 × 562 ) / 2
LCM(88,562) = 49456 / 2
LCM(88,562) = 24728
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 6650/88, 7326/562?
Answer: GCF of Numerators as per given numbers 6650/88, 7326/562 is
GCF of Numerators i.e. for 6650,7326 is 2
LCM of denominators i.e. for 88,562 is 24728.
Thus, GCF of Fractions is 2/24728.Finally, GCF of Fractions for 6650/88, 7326/562 is 2/24728.