Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6335/429,3712/508
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 6335,3712
Greatest Common Factor of Numerators i.e. GCF of 6335,3712 is 1 .
LCM of Denominators means LCM of 429,508 as per the given fractions.
LCM of 429,508 is 217932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6335,3712
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6335
List of positive integer factors of 6335 that divides 6335 without a remainder.
1,5,7,35,181,905,1267,6335
Factors of 3712
List of positive integer factors of 3712 that divides 3712 without a remainder.
1,2,4,8,16,29,32,58,64,116,128,232,464,928,1856,3712
Greatest Common Factor
We found the factors 6335,3712 . The biggest common factor number is the GCF number.
So the greatest common factor 6335,3712 is 1.
Lets's calculate LCM of 429,508
Given numbers has no common factors except 1. So, there LCM is their product i.e 217932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217932
Therefore, the GCF of Fractions 6335/429,3712/508 is 1/217932
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 429,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,508) x common factors =1 x 1 = 1
LCM(429,508) = ( 429 × 508 ) / 1
LCM(429,508) = 217932 / 1
LCM(429,508) = 217932
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 6335/429, 3712/508?
Answer: GCF of Numerators as per given numbers 6335/429, 3712/508 is
GCF of Numerators i.e. for 6335,3712 is 1
LCM of denominators i.e. for 429,508 is 217932.
Thus, GCF of Fractions is 1/217932.Finally, GCF of Fractions for 6335/429, 3712/508 is 1/217932.