Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7336/544,8743/8488
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 7336,8743
Greatest Common Factor of Numerators i.e. GCF of 7336,8743 is 7 .
LCM of Denominators means LCM of 544,8488 as per the given fractions.
LCM of 544,8488 is 577184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7336,8743
7 | 7336, 8743 |
1048, 1249 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 7336
List of positive integer factors of 7336 that divides 7336 without a remainder.
1,2,4,7,8,14,28,56,131,262,524,917,1048,1834,3668,7336
Factors of 8743
List of positive integer factors of 8743 that divides 8743 without a remainder.
1,7,1249,8743
Greatest Common Factor
We found the factors 7336,8743 . The biggest common factor number is the GCF number.
So the greatest common factor 7336,8743 is 7.
Lets's calculate LCM of 544,8488
2 | 544, 8488 |
2 | 272, 4244 |
2 | 136, 2122 |
68, 1061 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 68 x 1061 = 577184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/577184
Therefore, the GCF of Fractions 7336/544,8743/8488 is 7/577184
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 544,8488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,8488) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(544,8488) x common factors =8 x 1 = 8
LCM(544,8488) = ( 544 × 8488 ) / 8
LCM(544,8488) = 4617472 / 8
LCM(544,8488) = 577184
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 7336/544, 8743/8488?
Answer: GCF of Numerators as per given numbers 7336/544, 8743/8488 is
GCF of Numerators i.e. for 7336,8743 is 7
LCM of denominators i.e. for 544,8488 is 577184.
Thus, GCF of Fractions is 7/577184.Finally, GCF of Fractions for 7336/544, 8743/8488 is 7/577184.