Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 511/463,507/980
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 511,507
Greatest Common Factor of Numerators i.e. GCF of 511,507 is 1 .
LCM of Denominators means LCM of 463,980 as per the given fractions.
LCM of 463,980 is 453740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 511,507
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Greatest Common Factor
We found the factors 511,507 . The biggest common factor number is the GCF number.
So the greatest common factor 511,507 is 1.
Lets's calculate LCM of 463,980
Given numbers has no common factors except 1. So, there LCM is their product i.e 453740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453740
Therefore, the GCF of Fractions 511/463,507/980 is 1/453740
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 463,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,980) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,980) x common factors =1 x 1 = 1
LCM(463,980) = ( 463 × 980 ) / 1
LCM(463,980) = 453740 / 1
LCM(463,980) = 453740
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 511/463, 507/980?
Answer: GCF of Numerators as per given numbers 511/463, 507/980 is
GCF of Numerators i.e. for 511,507 is 1
LCM of denominators i.e. for 463,980 is 453740.
Thus, GCF of Fractions is 1/453740.Finally, GCF of Fractions for 511/463, 507/980 is 1/453740.