Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 429/3349,670/3118
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 429,670
Greatest Common Factor of Numerators i.e. GCF of 429,670 is 1 .
LCM of Denominators means LCM of 3349,3118 as per the given fractions.
LCM of 3349,3118 is 10442182 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 429,670
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 429,670 . The biggest common factor number is the GCF number.
So the greatest common factor 429,670 is 1.
Lets's calculate LCM of 3349,3118
Given numbers has no common factors except 1. So, there LCM is their product i.e 10442182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10442182
Therefore, the GCF of Fractions 429/3349,670/3118 is 1/10442182
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 3349,3118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3349,3118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3349,3118) x common factors =1 x 1 = 1
LCM(3349,3118) = ( 3349 × 3118 ) / 1
LCM(3349,3118) = 10442182 / 1
LCM(3349,3118) = 10442182
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 429/3349, 670/3118?
Answer: GCF of Numerators as per given numbers 429/3349, 670/3118 is
GCF of Numerators i.e. for 429,670 is 1
LCM of denominators i.e. for 3349,3118 is 10442182.
Thus, GCF of Fractions is 1/10442182.Finally, GCF of Fractions for 429/3349, 670/3118 is 1/10442182.