Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1252/549,7261/2945
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 1252,7261
Greatest Common Factor of Numerators i.e. GCF of 1252,7261 is 1 .
LCM of Denominators means LCM of 549,2945 as per the given fractions.
LCM of 549,2945 is 1616805 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1252,7261
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1252
List of positive integer factors of 1252 that divides 1252 without a remainder.
1,2,4,313,626,1252
Factors of 7261
List of positive integer factors of 7261 that divides 7261 without a remainder.
1,53,137,7261
Greatest Common Factor
We found the factors 1252,7261 . The biggest common factor number is the GCF number.
So the greatest common factor 1252,7261 is 1.
Lets's calculate LCM of 549,2945
Given numbers has no common factors except 1. So, there LCM is their product i.e 1616805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1616805
Therefore, the GCF of Fractions 1252/549,7261/2945 is 1/1616805
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 549,2945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,2945) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,2945) x common factors =1 x 1 = 1
LCM(549,2945) = ( 549 × 2945 ) / 1
LCM(549,2945) = 1616805 / 1
LCM(549,2945) = 1616805
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 1252/549, 7261/2945?
Answer: GCF of Numerators as per given numbers 1252/549, 7261/2945 is
GCF of Numerators i.e. for 1252,7261 is 1
LCM of denominators i.e. for 549,2945 is 1616805.
Thus, GCF of Fractions is 1/1616805.Finally, GCF of Fractions for 1252/549, 7261/2945 is 1/1616805.