Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 435/98,434/86,703/499
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 435,434,703
Greatest Common Factor of Numerators i.e. GCF of 435,434,703 is 1 .
LCM of Denominators means LCM of 98,86,499 as per the given fractions.
LCM of 98,86,499 is 2102786 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 435,434,703
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Greatest Common Factor
We found the factors 435,434,703 . The biggest common factor number is the GCF number.
So the greatest common factor 435,434,703 is 1.
Lets's calculate LCM of 98,86,499
2 | 98, 86, 499 |
49, 43, 499 |
∴ So the LCM of the given numbers is 2 x 49 x 43 x 499 = 2102786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2102786
Therefore, the GCF of Fractions 435/98,434/86,703/499 is 1/2102786
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 98,86,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,86,499) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,86,499) x common factors =1 x 2 = 2
LCM(98,86,499) = ( 98 × 86 × 499 ) / 2
LCM(98,86,499) = 4205572 / 2
LCM(98,86,499) = 2102786
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 435/98, 434/86, 703/499?
Answer: GCF of Numerators as per given numbers 435/98, 434/86, 703/499 is
GCF of Numerators i.e. for 435,434,703 is 1
LCM of denominators i.e. for 98,86,499 is 2102786.
Thus, GCF of Fractions is 1/2102786.Finally, GCF of Fractions for 435/98, 434/86, 703/499 is 1/2102786.