Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3426/70,9488/307
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 3426,9488
Greatest Common Factor of Numerators i.e. GCF of 3426,9488 is 2 .
LCM of Denominators means LCM of 70,307 as per the given fractions.
LCM of 70,307 is 21490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3426,9488
2 | 3426, 9488 |
1713, 4744 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3426
List of positive integer factors of 3426 that divides 3426 without a remainder.
1,2,3,6,571,1142,1713,3426
Factors of 9488
List of positive integer factors of 9488 that divides 9488 without a remainder.
1,2,4,8,16,593,1186,2372,4744,9488
Greatest Common Factor
We found the factors 3426,9488 . The biggest common factor number is the GCF number.
So the greatest common factor 3426,9488 is 2.
Lets's calculate LCM of 70,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 21490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21490
Therefore, the GCF of Fractions 3426/70,9488/307 is 2/21490
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 70,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,307) x common factors =1 x 1 = 1
LCM(70,307) = ( 70 × 307 ) / 1
LCM(70,307) = 21490 / 1
LCM(70,307) = 21490
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 3426/70, 9488/307?
Answer: GCF of Numerators as per given numbers 3426/70, 9488/307 is
GCF of Numerators i.e. for 3426,9488 is 2
LCM of denominators i.e. for 70,307 is 21490.
Thus, GCF of Fractions is 2/21490.Finally, GCF of Fractions for 3426/70, 9488/307 is 2/21490.