Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7653/846,7344/5600
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 7653,7344
Greatest Common Factor of Numerators i.e. GCF of 7653,7344 is 3 .
LCM of Denominators means LCM of 846,5600 as per the given fractions.
LCM of 846,5600 is 2368800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7653,7344
3 | 7653, 7344 |
2551, 2448 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7653
List of positive integer factors of 7653 that divides 7653 without a remainder.
1,3,2551,7653
Factors of 7344
List of positive integer factors of 7344 that divides 7344 without a remainder.
1,2,3,4,6,8,9,12,16,17,18,24,27,34,36,48,51,54,68,72,102,108,136,144,153,204,216,272,306,408,432,459,612,816,918,1224,1836,2448,3672,7344
Greatest Common Factor
We found the factors 7653,7344 . The biggest common factor number is the GCF number.
So the greatest common factor 7653,7344 is 3.
Lets's calculate LCM of 846,5600
2 | 846, 5600 |
423, 2800 |
∴ So the LCM of the given numbers is 2 x 423 x 2800 = 2368800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2368800
Therefore, the GCF of Fractions 7653/846,7344/5600 is 3/2368800
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 846,5600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,5600) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(846,5600) x common factors =2 x 1 = 2
LCM(846,5600) = ( 846 × 5600 ) / 2
LCM(846,5600) = 4737600 / 2
LCM(846,5600) = 2368800
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 7653/846, 7344/5600?
Answer: GCF of Numerators as per given numbers 7653/846, 7344/5600 is
GCF of Numerators i.e. for 7653,7344 is 3
LCM of denominators i.e. for 846,5600 is 2368800.
Thus, GCF of Fractions is 3/2368800.Finally, GCF of Fractions for 7653/846, 7344/5600 is 3/2368800.