Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 751/53,3384/587
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 751,3384
Greatest Common Factor of Numerators i.e. GCF of 751,3384 is 1 .
LCM of Denominators means LCM of 53,587 as per the given fractions.
LCM of 53,587 is 31111 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 751,3384
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 3384
List of positive integer factors of 3384 that divides 3384 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,47,72,94,141,188,282,376,423,564,846,1128,1692,3384
Greatest Common Factor
We found the factors 751,3384 . The biggest common factor number is the GCF number.
So the greatest common factor 751,3384 is 1.
Lets's calculate LCM of 53,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 31111
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31111
Therefore, the GCF of Fractions 751/53,3384/587 is 1/31111
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 53,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,587) x common factors =1 x 1 = 1
LCM(53,587) = ( 53 × 587 ) / 1
LCM(53,587) = 31111 / 1
LCM(53,587) = 31111
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 751/53, 3384/587?
Answer: GCF of Numerators as per given numbers 751/53, 3384/587 is
GCF of Numerators i.e. for 751,3384 is 1
LCM of denominators i.e. for 53,587 is 31111.
Thus, GCF of Fractions is 1/31111.Finally, GCF of Fractions for 751/53, 3384/587 is 1/31111.