Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 479/749,6144/830
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 479,6144
Greatest Common Factor of Numerators i.e. GCF of 479,6144 is 1 .
LCM of Denominators means LCM of 749,830 as per the given fractions.
LCM of 749,830 is 621670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 479,6144
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Factors of 6144
List of positive integer factors of 6144 that divides 6144 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,2048,3072,6144
Greatest Common Factor
We found the factors 479,6144 . The biggest common factor number is the GCF number.
So the greatest common factor 479,6144 is 1.
Lets's calculate LCM of 749,830
Given numbers has no common factors except 1. So, there LCM is their product i.e 621670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/621670
Therefore, the GCF of Fractions 479/749,6144/830 is 1/621670
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 749,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,830) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,830) x common factors =1 x 1 = 1
LCM(749,830) = ( 749 × 830 ) / 1
LCM(749,830) = 621670 / 1
LCM(749,830) = 621670
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 479/749, 6144/830?
Answer: GCF of Numerators as per given numbers 479/749, 6144/830 is
GCF of Numerators i.e. for 479,6144 is 1
LCM of denominators i.e. for 749,830 is 621670.
Thus, GCF of Fractions is 1/621670.Finally, GCF of Fractions for 479/749, 6144/830 is 1/621670.