Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 548/103,373/637
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 548,373
Greatest Common Factor of Numerators i.e. GCF of 548,373 is 1 .
LCM of Denominators means LCM of 103,637 as per the given fractions.
LCM of 103,637 is 65611 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 548,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Greatest Common Factor
We found the factors 548,373 . The biggest common factor number is the GCF number.
So the greatest common factor 548,373 is 1.
Lets's calculate LCM of 103,637
Given numbers has no common factors except 1. So, there LCM is their product i.e 65611
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65611
Therefore, the GCF of Fractions 548/103,373/637 is 1/65611
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 103,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,637) x common factors =1 x 1 = 1
LCM(103,637) = ( 103 × 637 ) / 1
LCM(103,637) = 65611 / 1
LCM(103,637) = 65611
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 548/103, 373/637?
Answer: GCF of Numerators as per given numbers 548/103, 373/637 is
GCF of Numerators i.e. for 548,373 is 1
LCM of denominators i.e. for 103,637 is 65611.
Thus, GCF of Fractions is 1/65611.Finally, GCF of Fractions for 548/103, 373/637 is 1/65611.