Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 437/64,126/7773
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 437,126
Greatest Common Factor of Numerators i.e. GCF of 437,126 is 1 .
LCM of Denominators means LCM of 64,7773 as per the given fractions.
LCM of 64,7773 is 497472 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 437,126
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 437,126 . The biggest common factor number is the GCF number.
So the greatest common factor 437,126 is 1.
Lets's calculate LCM of 64,7773
Given numbers has no common factors except 1. So, there LCM is their product i.e 497472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497472
Therefore, the GCF of Fractions 437/64,126/7773 is 1/497472
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 64,7773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,7773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,7773) x common factors =1 x 1 = 1
LCM(64,7773) = ( 64 × 7773 ) / 1
LCM(64,7773) = 497472 / 1
LCM(64,7773) = 497472
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 437/64, 126/7773?
Answer: GCF of Numerators as per given numbers 437/64, 126/7773 is
GCF of Numerators i.e. for 437,126 is 1
LCM of denominators i.e. for 64,7773 is 497472.
Thus, GCF of Fractions is 1/497472.Finally, GCF of Fractions for 437/64, 126/7773 is 1/497472.