Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 511/4662,536/9770
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 511,536
Greatest Common Factor of Numerators i.e. GCF of 511,536 is 1 .
LCM of Denominators means LCM of 4662,9770 as per the given fractions.
LCM of 4662,9770 is 22773870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 511,536
∴ 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 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Greatest Common Factor
We found the factors 511,536 . The biggest common factor number is the GCF number.
So the greatest common factor 511,536 is 1.
Lets's calculate LCM of 4662,9770
2 | 4662, 9770 |
2331, 4885 |
∴ So the LCM of the given numbers is 2 x 2331 x 4885 = 22773870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22773870
Therefore, the GCF of Fractions 511/4662,536/9770 is 1/22773870
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 4662,9770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4662,9770) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4662,9770) x common factors =2 x 1 = 2
LCM(4662,9770) = ( 4662 × 9770 ) / 2
LCM(4662,9770) = 45547740 / 2
LCM(4662,9770) = 22773870
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 511/4662, 536/9770?
Answer: GCF of Numerators as per given numbers 511/4662, 536/9770 is
GCF of Numerators i.e. for 511,536 is 1
LCM of denominators i.e. for 4662,9770 is 22773870.
Thus, GCF of Fractions is 1/22773870.Finally, GCF of Fractions for 511/4662, 536/9770 is 1/22773870.