Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 957/525,2432/930
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 957,2432
Greatest Common Factor of Numerators i.e. GCF of 957,2432 is 1 .
LCM of Denominators means LCM of 525,930 as per the given fractions.
LCM of 525,930 is 32550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 957,2432
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 2432
List of positive integer factors of 2432 that divides 2432 without a remainder.
1,2,4,8,16,19,32,38,64,76,128,152,304,608,1216,2432
Greatest Common Factor
We found the factors 957,2432 . The biggest common factor number is the GCF number.
So the greatest common factor 957,2432 is 1.
Lets's calculate LCM of 525,930
3 | 525, 930 |
5 | 175, 310 |
35, 62 |
∴ So the LCM of the given numbers is 3 x 5 x 35 x 62 = 32550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32550
Therefore, the GCF of Fractions 957/525,2432/930 is 1/32550
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 525,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,930) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(525,930) x common factors =15 x 1 = 15
LCM(525,930) = ( 525 × 930 ) / 15
LCM(525,930) = 488250 / 15
LCM(525,930) = 32550
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 957/525, 2432/930?
Answer: GCF of Numerators as per given numbers 957/525, 2432/930 is
GCF of Numerators i.e. for 957,2432 is 1
LCM of denominators i.e. for 525,930 is 32550.
Thus, GCF of Fractions is 1/32550.Finally, GCF of Fractions for 957/525, 2432/930 is 1/32550.