Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6346/708,7313/9289
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 6346,7313
Greatest Common Factor of Numerators i.e. GCF of 6346,7313 is 1 .
LCM of Denominators means LCM of 708,9289 as per the given fractions.
LCM of 708,9289 is 6576612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6346,7313
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6346
List of positive integer factors of 6346 that divides 6346 without a remainder.
1,2,19,38,167,334,3173,6346
Factors of 7313
List of positive integer factors of 7313 that divides 7313 without a remainder.
1,71,103,7313
Greatest Common Factor
We found the factors 6346,7313 . The biggest common factor number is the GCF number.
So the greatest common factor 6346,7313 is 1.
Lets's calculate LCM of 708,9289
Given numbers has no common factors except 1. So, there LCM is their product i.e 6576612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6576612
Therefore, the GCF of Fractions 6346/708,7313/9289 is 1/6576612
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 708,9289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,9289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(708,9289) x common factors =1 x 1 = 1
LCM(708,9289) = ( 708 × 9289 ) / 1
LCM(708,9289) = 6576612 / 1
LCM(708,9289) = 6576612
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 6346/708, 7313/9289?
Answer: GCF of Numerators as per given numbers 6346/708, 7313/9289 is
GCF of Numerators i.e. for 6346,7313 is 1
LCM of denominators i.e. for 708,9289 is 6576612.
Thus, GCF of Fractions is 1/6576612.Finally, GCF of Fractions for 6346/708, 7313/9289 is 1/6576612.