Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/859,504/623,767/358
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 43,504,767
Greatest Common Factor of Numerators i.e. GCF of 43,504,767 is 1 .
LCM of Denominators means LCM of 859,623,358 as per the given fractions.
LCM of 859,623,358 is 191586206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 43,504,767
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Greatest Common Factor
We found the factors 43,504,767 . The biggest common factor number is the GCF number.
So the greatest common factor 43,504,767 is 1.
Lets's calculate LCM of 859,623,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 191586206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191586206
Therefore, the GCF of Fractions 43/859,504/623,767/358 is 1/191586206
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 859,623,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,623,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,623,358) x common factors =1 x 1 = 1
LCM(859,623,358) = ( 859 × 623 × 358 ) / 1
LCM(859,623,358) = 191586206 / 1
LCM(859,623,358) = 191586206
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 43/859, 504/623, 767/358?
Answer: GCF of Numerators as per given numbers 43/859, 504/623, 767/358 is
GCF of Numerators i.e. for 43,504,767 is 1
LCM of denominators i.e. for 859,623,358 is 191586206.
Thus, GCF of Fractions is 1/191586206.Finally, GCF of Fractions for 43/859, 504/623, 767/358 is 1/191586206.