Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 452/704,535/890,524/230
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 452,535,524
Greatest Common Factor of Numerators i.e. GCF of 452,535,524 is 1 .
LCM of Denominators means LCM of 704,890,230 as per the given fractions.
LCM of 704,890,230 is 7205440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 452,535,524
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors 452,535,524 . The biggest common factor number is the GCF number.
So the greatest common factor 452,535,524 is 1.
Lets's calculate LCM of 704,890,230
2 | 704, 890, 230 |
5 | 352, 445, 115 |
352, 89, 23 |
∴ So the LCM of the given numbers is 2 x 5 x 352 x 89 x 23 = 7205440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7205440
Therefore, the GCF of Fractions 452/704,535/890,524/230 is 1/7205440
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 704,890,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,890,230) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(704,890,230) x common factors =2 x 10 = 20
LCM(704,890,230) = ( 704 × 890 × 230 ) / 20
LCM(704,890,230) = 144108800 / 20
LCM(704,890,230) = 7205440
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 452/704, 535/890, 524/230?
Answer: GCF of Numerators as per given numbers 452/704, 535/890, 524/230 is
GCF of Numerators i.e. for 452,535,524 is 1
LCM of denominators i.e. for 704,890,230 is 7205440.
Thus, GCF of Fractions is 1/7205440.Finally, GCF of Fractions for 452/704, 535/890, 524/230 is 1/7205440.