Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/859,253/650,822/313
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 42,253,822
Greatest Common Factor of Numerators i.e. GCF of 42,253,822 is 1 .
LCM of Denominators means LCM of 859,650,313 as per the given fractions.
LCM of 859,650,313 is 174763550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 42,253,822
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 42,253,822 . The biggest common factor number is the GCF number.
So the greatest common factor 42,253,822 is 1.
Lets's calculate LCM of 859,650,313
Given numbers has no common factors except 1. So, there LCM is their product i.e 174763550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174763550
Therefore, the GCF of Fractions 42/859,253/650,822/313 is 1/174763550
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 859,650,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,650,313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,650,313) x common factors =1 x 1 = 1
LCM(859,650,313) = ( 859 × 650 × 313 ) / 1
LCM(859,650,313) = 174763550 / 1
LCM(859,650,313) = 174763550
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 42/859, 253/650, 822/313?
Answer: GCF of Numerators as per given numbers 42/859, 253/650, 822/313 is
GCF of Numerators i.e. for 42,253,822 is 1
LCM of denominators i.e. for 859,650,313 is 174763550.
Thus, GCF of Fractions is 1/174763550.Finally, GCF of Fractions for 42/859, 253/650, 822/313 is 1/174763550.