Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 786/357,1125/329
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 786,1125
Greatest Common Factor of Numerators i.e. GCF of 786,1125 is 3 .
LCM of Denominators means LCM of 357,329 as per the given fractions.
LCM of 357,329 is 16779 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 786,1125
3 | 786, 1125 |
262, 375 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 1125
List of positive integer factors of 1125 that divides 1125 without a remainder.
1,3,5,9,15,25,45,75,125,225,375,1125
Greatest Common Factor
We found the factors 786,1125 . The biggest common factor number is the GCF number.
So the greatest common factor 786,1125 is 3.
Lets's calculate LCM of 357,329
7 | 357, 329 |
51, 47 |
∴ So the LCM of the given numbers is 7 x 51 x 47 = 16779
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16779
Therefore, the GCF of Fractions 786/357,1125/329 is 3/16779
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 357,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,329) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(357,329) x common factors =7 x 1 = 7
LCM(357,329) = ( 357 × 329 ) / 7
LCM(357,329) = 117453 / 7
LCM(357,329) = 16779
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 786/357, 1125/329?
Answer: GCF of Numerators as per given numbers 786/357, 1125/329 is
GCF of Numerators i.e. for 786,1125 is 3
LCM of denominators i.e. for 357,329 is 16779.
Thus, GCF of Fractions is 3/16779.Finally, GCF of Fractions for 786/357, 1125/329 is 3/16779.