Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4603/629,7262/932
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 4603,7262
Greatest Common Factor of Numerators i.e. GCF of 4603,7262 is 1 .
LCM of Denominators means LCM of 629,932 as per the given fractions.
LCM of 629,932 is 586228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4603,7262
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4603
List of positive integer factors of 4603 that divides 4603 without a remainder.
1,4603
Factors of 7262
List of positive integer factors of 7262 that divides 7262 without a remainder.
1,2,3631,7262
Greatest Common Factor
We found the factors 4603,7262 . The biggest common factor number is the GCF number.
So the greatest common factor 4603,7262 is 1.
Lets's calculate LCM of 629,932
Given numbers has no common factors except 1. So, there LCM is their product i.e 586228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586228
Therefore, the GCF of Fractions 4603/629,7262/932 is 1/586228
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 629,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,932) x common factors =1 x 1 = 1
LCM(629,932) = ( 629 × 932 ) / 1
LCM(629,932) = 586228 / 1
LCM(629,932) = 586228
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 4603/629, 7262/932?
Answer: GCF of Numerators as per given numbers 4603/629, 7262/932 is
GCF of Numerators i.e. for 4603,7262 is 1
LCM of denominators i.e. for 629,932 is 586228.
Thus, GCF of Fractions is 1/586228.Finally, GCF of Fractions for 4603/629, 7262/932 is 1/586228.