Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 553/343,851/751
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 553,851
Greatest Common Factor of Numerators i.e. GCF of 553,851 is 1 .
LCM of Denominators means LCM of 343,751 as per the given fractions.
LCM of 343,751 is 257593 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 553,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors 553,851 . The biggest common factor number is the GCF number.
So the greatest common factor 553,851 is 1.
Lets's calculate LCM of 343,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 257593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257593
Therefore, the GCF of Fractions 553/343,851/751 is 1/257593
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 343,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,751) x common factors =1 x 1 = 1
LCM(343,751) = ( 343 × 751 ) / 1
LCM(343,751) = 257593 / 1
LCM(343,751) = 257593
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 553/343, 851/751?
Answer: GCF of Numerators as per given numbers 553/343, 851/751 is
GCF of Numerators i.e. for 553,851 is 1
LCM of denominators i.e. for 343,751 is 257593.
Thus, GCF of Fractions is 1/257593.Finally, GCF of Fractions for 553/343, 851/751 is 1/257593.